1340 lines
65 KiB
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1340 lines
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<div id="projectname">Penning Trap Simulation
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<div id="projectbrief">Simulate particle behavior inside a Penning Trap</div>
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<a href="#pub-methods">Public Member Functions</a> |
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<p>A class that simulates a Penning trap.
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<a href="classPenningTrap.html#details">More...</a></p>
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<p><code>#include <<a class="el" href="PenningTrap_8hpp_source.html">PenningTrap.hpp</a>></code></p>
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<table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="pub-methods" name="pub-methods"></a>
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Public Member Functions</h2></td></tr>
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<tr class="memitem:a5b6c6d4636f3a6e279ccde59d4a345e8"><td class="memItemLeft" align="right" valign="top"> </td><td class="memItemRight" valign="bottom"><a class="el" href="classPenningTrap.html#a5b6c6d4636f3a6e279ccde59d4a345e8">PenningTrap</a> (double <a class="el" href="classPenningTrap.html#a0cac3509aa96e71a26d3b2c902e27716">B_0</a>=<a class="el" href="constants_8hpp.html#a0acb682b8260ab1c60b918599864e2e5">T</a>, double <a class="el" href="classPenningTrap.html#a715329844d75ec4c04f8391421fb4e89">V_0</a>=(25. *<a class="el" href="constants_8hpp.html#af40a326b23c68a27cebe60f16634a2cb">V</a>)/1000., double <a class="el" href="classPenningTrap.html#a66dfe89c68716b9502927b97f59c27d2">d</a>=500., double <a class="el" href="classPenningTrap.html#a8ca4e21291f60fde619c14099d8c4e8e">t</a>=0.)</td></tr>
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<tr class="memdesc:a5b6c6d4636f3a6e279ccde59d4a345e8"><td class="mdescLeft"> </td><td class="mdescRight">Constructor for the <a class="el" href="classPenningTrap.html" title="A class that simulates a Penning trap.">PenningTrap</a> class. <br /></td></tr>
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<tr class="separator:a5b6c6d4636f3a6e279ccde59d4a345e8"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a830be1b8cbf59664e060b6edbeaa302f"><td class="memItemLeft" align="right" valign="top"> </td><td class="memItemRight" valign="bottom"><a class="el" href="classPenningTrap.html#a830be1b8cbf59664e060b6edbeaa302f">PenningTrap</a> (uint i, double <a class="el" href="classPenningTrap.html#a0cac3509aa96e71a26d3b2c902e27716">B_0</a>=<a class="el" href="constants_8hpp.html#a0acb682b8260ab1c60b918599864e2e5">T</a>, double <a class="el" href="classPenningTrap.html#a715329844d75ec4c04f8391421fb4e89">V_0</a>=(25. *<a class="el" href="constants_8hpp.html#af40a326b23c68a27cebe60f16634a2cb">V</a>)/1000., double <a class="el" href="classPenningTrap.html#a66dfe89c68716b9502927b97f59c27d2">d</a>=500., double <a class="el" href="classPenningTrap.html#a8ca4e21291f60fde619c14099d8c4e8e">t</a>=0.)</td></tr>
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<tr class="memdesc:a830be1b8cbf59664e060b6edbeaa302f"><td class="mdescLeft"> </td><td class="mdescRight">Constructor for the <a class="el" href="classPenningTrap.html" title="A class that simulates a Penning trap.">PenningTrap</a> class. <br /></td></tr>
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<tr class="separator:a830be1b8cbf59664e060b6edbeaa302f"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:addc96789dcfec07b75156e19fee82f4f"><td class="memItemLeft" align="right" valign="top"> </td><td class="memItemRight" valign="bottom"><a class="el" href="classPenningTrap.html#addc96789dcfec07b75156e19fee82f4f">PenningTrap</a> (std::vector< <a class="el" href="classParticle.html">Particle</a> > <a class="el" href="classPenningTrap.html#a0112525d9e79a472e761f8ef402a339f">particles</a>, double <a class="el" href="classPenningTrap.html#a0cac3509aa96e71a26d3b2c902e27716">B_0</a>=<a class="el" href="constants_8hpp.html#a0acb682b8260ab1c60b918599864e2e5">T</a>, double <a class="el" href="classPenningTrap.html#a715329844d75ec4c04f8391421fb4e89">V_0</a>=(25. *<a class="el" href="constants_8hpp.html#af40a326b23c68a27cebe60f16634a2cb">V</a>)/1000., double <a class="el" href="classPenningTrap.html#a66dfe89c68716b9502927b97f59c27d2">d</a>=500., double <a class="el" href="classPenningTrap.html#a8ca4e21291f60fde619c14099d8c4e8e">t</a>=0.)</td></tr>
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<tr class="memdesc:addc96789dcfec07b75156e19fee82f4f"><td class="mdescLeft"> </td><td class="mdescRight">Constructor for the <a class="el" href="classPenningTrap.html" title="A class that simulates a Penning trap.">PenningTrap</a> class. <br /></td></tr>
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<tr class="separator:addc96789dcfec07b75156e19fee82f4f"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a9d1d8e90ca839b928aee1ad0cd4aff43"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="classPenningTrap.html#a9d1d8e90ca839b928aee1ad0cd4aff43">set_pertubation</a> (double f, double omega_V)</td></tr>
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<tr class="memdesc:a9d1d8e90ca839b928aee1ad0cd4aff43"><td class="mdescLeft"> </td><td class="mdescRight">Time dependent perturbation to V_0. <br /></td></tr>
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<tr class="separator:a9d1d8e90ca839b928aee1ad0cd4aff43"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:aaee129f177657455348d0c8ae1441dea"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="classPenningTrap.html#aaee129f177657455348d0c8ae1441dea">reinitialize</a> (double f, double omega_V, double <a class="el" href="classPenningTrap.html#a8ca4e21291f60fde619c14099d8c4e8e">t</a>=0.)</td></tr>
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<tr class="memdesc:aaee129f177657455348d0c8ae1441dea"><td class="mdescLeft"> </td><td class="mdescRight">Give all particles new positions and velocities, and change t and V_0. <br /></td></tr>
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<tr class="separator:aaee129f177657455348d0c8ae1441dea"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a6e9776ff5b149f01080800716455d7c8"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="classPenningTrap.html#a6e9776ff5b149f01080800716455d7c8">add_particle</a> (<a class="el" href="classParticle.html">Particle</a> particle)</td></tr>
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<tr class="memdesc:a6e9776ff5b149f01080800716455d7c8"><td class="mdescLeft"> </td><td class="mdescRight">Add a particle to the system. <br /></td></tr>
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<tr class="separator:a6e9776ff5b149f01080800716455d7c8"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a36946152fd951b1f7c346c51ff900d8e"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="classPenningTrap.html#a36946152fd951b1f7c346c51ff900d8e">evolve_RK4</a> (double dt, bool particle_interaction=true)</td></tr>
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<tr class="memdesc:a36946152fd951b1f7c346c51ff900d8e"><td class="mdescLeft"> </td><td class="mdescRight">Go forward one timestep using the RK4 method. <br /></td></tr>
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<tr class="separator:a36946152fd951b1f7c346c51ff900d8e"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ab9ea97a406534bbe621a95215144875e"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="classPenningTrap.html#ab9ea97a406534bbe621a95215144875e">evolve_forward_euler</a> (double dt, bool particle_interaction=true)</td></tr>
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<tr class="memdesc:ab9ea97a406534bbe621a95215144875e"><td class="mdescLeft"> </td><td class="mdescRight">Go forward one timestep using the forward Euler method. <br /></td></tr>
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<tr class="separator:ab9ea97a406534bbe621a95215144875e"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a7a1d9f0528a12308de25bc30718da20a"><td class="memItemLeft" align="right" valign="top"><a class="el" href="typedefs_8hpp.html#a784799c37b5e4fb8bf4f6368e004dec6">simulation_t</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="classPenningTrap.html#a7a1d9f0528a12308de25bc30718da20a">simulate</a> (double time, uint steps, std::string method="rk4", bool particle_interaction=true)</td></tr>
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<tr class="memdesc:a7a1d9f0528a12308de25bc30718da20a"><td class="mdescLeft"> </td><td class="mdescRight">Simulate the particle system inside the Penning trap over a certain amount of time. <br /></td></tr>
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<tr class="separator:a7a1d9f0528a12308de25bc30718da20a"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ad8bc4df7ab3eed53b16cfdff38e7760b"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="classPenningTrap.html#ad8bc4df7ab3eed53b16cfdff38e7760b">write_simulation_to_dir</a> (std::string path, double time, uint steps, std::string method="rk4", bool particle_interaction=true)</td></tr>
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<tr class="memdesc:ad8bc4df7ab3eed53b16cfdff38e7760b"><td class="mdescLeft"> </td><td class="mdescRight">Simulate and write the displacement of all particles to files. <br /></td></tr>
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<tr class="separator:ad8bc4df7ab3eed53b16cfdff38e7760b"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ac529aa26c288f34eae184a67e6bac41f"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="classPenningTrap.html#ac529aa26c288f34eae184a67e6bac41f">fraction_of_particles_left</a> (double time, uint steps, std::string method="rk4", bool particle_interaction=true)</td></tr>
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<tr class="memdesc:ac529aa26c288f34eae184a67e6bac41f"><td class="mdescLeft"> </td><td class="mdescRight">Simulate and calculate what fraction of particles are still left inside the Penning trap after the simulation. <br /></td></tr>
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<tr class="separator:ac529aa26c288f34eae184a67e6bac41f"><td class="memSeparator" colspan="2"> </td></tr>
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</table><table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="pri-methods" name="pri-methods"></a>
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Private Member Functions</h2></td></tr>
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<tr class="memitem:a3c0a44e4e0a94366ff609e81fe463fa2"><td class="memItemLeft" align="right" valign="top"><a class="el" href="typedefs_8hpp.html#a3bdfb73a02f88ae32b6128ef747c4aea">vec3</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="classPenningTrap.html#a3c0a44e4e0a94366ff609e81fe463fa2">v_func</a> (uint i, uint j, double dt)</td></tr>
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<tr class="memdesc:a3c0a44e4e0a94366ff609e81fe463fa2"><td class="mdescLeft"> </td><td class="mdescRight">Helper for evolve_RK4 when calculating \(k_{v,i,j}\) values. <br /></td></tr>
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<tr class="separator:a3c0a44e4e0a94366ff609e81fe463fa2"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a826b7fa8e709d481eb1dee7d0c2cdc08"><td class="memItemLeft" align="right" valign="top"><a class="el" href="typedefs_8hpp.html#a3bdfb73a02f88ae32b6128ef747c4aea">vec3</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="classPenningTrap.html#a826b7fa8e709d481eb1dee7d0c2cdc08">r_func</a> (uint i, uint j, double dt)</td></tr>
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<tr class="memdesc:a826b7fa8e709d481eb1dee7d0c2cdc08"><td class="mdescLeft"> </td><td class="mdescRight">Helper for evolve_RK4 when calculating \(k_{r,i,j}\) values. <br /></td></tr>
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<tr class="separator:a826b7fa8e709d481eb1dee7d0c2cdc08"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a5846c8f75cdc543fd9cf0b2185a3ef22"><td class="memItemLeft" align="right" valign="top"><a class="el" href="typedefs_8hpp.html#a3bdfb73a02f88ae32b6128ef747c4aea">vec3</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="classPenningTrap.html#a5846c8f75cdc543fd9cf0b2185a3ef22">external_E_field</a> (<a class="el" href="typedefs_8hpp.html#a3bdfb73a02f88ae32b6128ef747c4aea">vec3</a> r)</td></tr>
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<tr class="memdesc:a5846c8f75cdc543fd9cf0b2185a3ef22"><td class="mdescLeft"> </td><td class="mdescRight">Calculate E at point r. <br /></td></tr>
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<tr class="separator:a5846c8f75cdc543fd9cf0b2185a3ef22"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a361f2c4862c90b5e8e2a2f50c6a95655"><td class="memItemLeft" align="right" valign="top"><a class="el" href="typedefs_8hpp.html#a3bdfb73a02f88ae32b6128ef747c4aea">vec3</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="classPenningTrap.html#a361f2c4862c90b5e8e2a2f50c6a95655">external_B_field</a> (<a class="el" href="typedefs_8hpp.html#a3bdfb73a02f88ae32b6128ef747c4aea">vec3</a> r)</td></tr>
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<tr class="memdesc:a361f2c4862c90b5e8e2a2f50c6a95655"><td class="mdescLeft"> </td><td class="mdescRight">Calculate B at point r. <br /></td></tr>
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<tr class="separator:a361f2c4862c90b5e8e2a2f50c6a95655"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a7f210bb2768a5d79ced4b0df0df97598"><td class="memItemLeft" align="right" valign="top"><a class="el" href="typedefs_8hpp.html#a3bdfb73a02f88ae32b6128ef747c4aea">vec3</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="classPenningTrap.html#a7f210bb2768a5d79ced4b0df0df97598">force_on_particle</a> (uint i, uint j)</td></tr>
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<tr class="memdesc:a7f210bb2768a5d79ced4b0df0df97598"><td class="mdescLeft"> </td><td class="mdescRight">Calculate the force between 2 particles. <br /></td></tr>
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<tr class="memitem:a2c01108b52c8e2a003cf9170da9e7682"><td class="memItemLeft" align="right" valign="top"><a class="el" href="typedefs_8hpp.html#a3bdfb73a02f88ae32b6128ef747c4aea">vec3</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="classPenningTrap.html#a2c01108b52c8e2a003cf9170da9e7682">total_force_external</a> (uint i)</td></tr>
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<tr class="memdesc:a2c01108b52c8e2a003cf9170da9e7682"><td class="mdescLeft"> </td><td class="mdescRight">Calculate the total external force on a particle. <br /></td></tr>
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<tr class="memitem:a2fe1cefbae18fa5808155ee0d2df713c"><td class="memItemLeft" align="right" valign="top"><a class="el" href="typedefs_8hpp.html#a3bdfb73a02f88ae32b6128ef747c4aea">vec3</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="classPenningTrap.html#a2fe1cefbae18fa5808155ee0d2df713c">total_force_particles</a> (uint i)</td></tr>
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<tr class="memdesc:a2fe1cefbae18fa5808155ee0d2df713c"><td class="mdescLeft"> </td><td class="mdescRight">Calculate the total force on a particle p_i from other particles. <br /></td></tr>
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<tr class="separator:a2fe1cefbae18fa5808155ee0d2df713c"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a9a301b0540078c36697880ef204afdf3"><td class="memItemLeft" align="right" valign="top"><a class="el" href="typedefs_8hpp.html#a3bdfb73a02f88ae32b6128ef747c4aea">vec3</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="classPenningTrap.html#a9a301b0540078c36697880ef204afdf3">total_force</a> (uint i)</td></tr>
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<tr class="memdesc:a9a301b0540078c36697880ef204afdf3"><td class="mdescLeft"> </td><td class="mdescRight">calculate the total force on a particle p_i. <br /></td></tr>
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<tr class="separator:a9a301b0540078c36697880ef204afdf3"><td class="memSeparator" colspan="2"> </td></tr>
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</table><table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="pri-attribs" name="pri-attribs"></a>
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Private Attributes</h2></td></tr>
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<tr class="memitem:a0cac3509aa96e71a26d3b2c902e27716"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="classPenningTrap.html#a0cac3509aa96e71a26d3b2c902e27716">B_0</a></td></tr>
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<tr class="memdesc:a0cac3509aa96e71a26d3b2c902e27716"><td class="mdescLeft"> </td><td class="mdescRight">Magnetic field strength. <br /></td></tr>
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<tr class="separator:a0cac3509aa96e71a26d3b2c902e27716"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a715329844d75ec4c04f8391421fb4e89"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="classPenningTrap.html#a715329844d75ec4c04f8391421fb4e89">V_0</a></td></tr>
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<tr class="memdesc:a715329844d75ec4c04f8391421fb4e89"><td class="mdescLeft"> </td><td class="mdescRight">Applied potential. <br /></td></tr>
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<tr class="separator:a715329844d75ec4c04f8391421fb4e89"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ae915f6ad0eef1fb46530e836b6e071e5"><td class="memItemLeft" align="right" valign="top">std::function< double(double)> </td><td class="memItemRight" valign="bottom"><a class="el" href="classPenningTrap.html#ae915f6ad0eef1fb46530e836b6e071e5">perturbation</a></td></tr>
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<tr class="memdesc:ae915f6ad0eef1fb46530e836b6e071e5"><td class="mdescLeft"> </td><td class="mdescRight">Time-dependent perturbation. <br /></td></tr>
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<tr class="separator:ae915f6ad0eef1fb46530e836b6e071e5"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a66dfe89c68716b9502927b97f59c27d2"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="classPenningTrap.html#a66dfe89c68716b9502927b97f59c27d2">d</a></td></tr>
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<tr class="memdesc:a66dfe89c68716b9502927b97f59c27d2"><td class="mdescLeft"> </td><td class="mdescRight">Characteristic dimension. <br /></td></tr>
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<tr class="separator:a66dfe89c68716b9502927b97f59c27d2"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a8ca4e21291f60fde619c14099d8c4e8e"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="classPenningTrap.html#a8ca4e21291f60fde619c14099d8c4e8e">t</a></td></tr>
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<tr class="memdesc:a8ca4e21291f60fde619c14099d8c4e8e"><td class="mdescLeft"> </td><td class="mdescRight">Current time. <br /></td></tr>
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<tr class="memitem:a0112525d9e79a472e761f8ef402a339f"><td class="memItemLeft" align="right" valign="top">std::vector< <a class="el" href="classParticle.html">Particle</a> > </td><td class="memItemRight" valign="bottom"><a class="el" href="classPenningTrap.html#a0112525d9e79a472e761f8ef402a339f">particles</a></td></tr>
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<tr class="memdesc:a0112525d9e79a472e761f8ef402a339f"><td class="mdescLeft"> </td><td class="mdescRight">The particles in the Penning trap. <br /></td></tr>
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<tr class="memitem:ae9b5afdaa5cd366e94bd294452a1eed4"><td class="memItemLeft" align="right" valign="top"><a class="el" href="typedefs_8hpp.html#aec69d34220fff45de238b9e01f2686af">sim_arr</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="classPenningTrap.html#ae9b5afdaa5cd366e94bd294452a1eed4">k_v</a></td></tr>
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<tr class="memitem:a2f168622587709b9e3c49077f0b9a640"><td class="memItemLeft" align="right" valign="top"><a class="el" href="typedefs_8hpp.html#aec69d34220fff45de238b9e01f2686af">sim_arr</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="classPenningTrap.html#a2f168622587709b9e3c49077f0b9a640">k_r</a></td></tr>
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</table><table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="friends" name="friends"></a>
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Friends</h2></td></tr>
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<tr class="memitem:a869f032f37d0569ed16f224b4c4356ae"><td class="memItemLeft" align="right" valign="top">class </td><td class="memItemRight" valign="bottom"><a class="el" href="classPenningTrap.html#a869f032f37d0569ed16f224b4c4356ae">PenningTrapTest</a></td></tr>
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</table>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
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<div class="textblock"><p>A class that simulates a Penning trap. </p>
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<p>This class simulates a Penning trap. It can take in a number of particles and simulate how they would behave inside a Penning trap. </p>
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<p class="definition">Definition at line <a class="el" href="PenningTrap_8hpp_source.html#l00031">31</a> of file <a class="el" href="PenningTrap_8hpp_source.html">PenningTrap.hpp</a>.</p>
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</div><h2 class="groupheader">Constructor & Destructor Documentation</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#a5b6c6d4636f3a6e279ccde59d4a345e8">◆ </a></span>PenningTrap() <span class="overload">[1/3]</span></h2>
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<td class="memname">PenningTrap::PenningTrap </td>
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<td>(</td>
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<td class="paramtype">double </td>
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<td class="paramname"><em>B_0</em> = <code><a class="el" href="constants_8hpp.html#a0acb682b8260ab1c60b918599864e2e5">T</a></code>, </td>
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<td class="paramkey"></td>
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<td class="paramtype">double </td>
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<td class="paramname"><em>V_0</em> = <code>(25. * <a class="el" href="constants_8hpp.html#af40a326b23c68a27cebe60f16634a2cb">V</a>) / 1000.</code>, </td>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">double </td>
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<td class="paramname"><em>d</em> = <code>500.</code>, </td>
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<td class="paramkey"></td>
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<td class="paramname"><em>t</em> = <code>0.</code> </td>
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<td></td>
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<td>)</td>
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</div><div class="memdoc">
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<p>Constructor for the <a class="el" href="classPenningTrap.html" title="A class that simulates a Penning trap.">PenningTrap</a> class. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramname">B_0</td><td>The magnetic field strength </td></tr>
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<tr><td class="paramname">V_0</td><td>The time dependent applied potential </td></tr>
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<tr><td class="paramname">d</td><td>The characteristic dimension </td></tr>
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<tr><td class="paramname">t</td><td>The starting time </td></tr>
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</table>
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</dd>
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</dl>
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<p class="definition">Definition at line <a class="el" href="PenningTrap_8cpp_source.html#l00020">20</a> of file <a class="el" href="PenningTrap_8cpp_source.html">PenningTrap.cpp</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a830be1b8cbf59664e060b6edbeaa302f">◆ </a></span>PenningTrap() <span class="overload">[2/3]</span></h2>
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<td class="memname">PenningTrap::PenningTrap </td>
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<td>(</td>
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<td class="paramtype">uint </td>
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<td class="paramname"><em>i</em>, </td>
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<td class="paramtype">double </td>
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<td class="paramname"><em>B_0</em> = <code><a class="el" href="constants_8hpp.html#a0acb682b8260ab1c60b918599864e2e5">T</a></code>, </td>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">double </td>
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<td class="paramname"><em>V_0</em> = <code>(25. * <a class="el" href="constants_8hpp.html#af40a326b23c68a27cebe60f16634a2cb">V</a>) / 1000.</code>, </td>
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<td class="paramkey"></td>
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<td class="paramtype">double </td>
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<td></td>
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<td>)</td>
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<p>Constructor for the <a class="el" href="classPenningTrap.html" title="A class that simulates a Penning trap.">PenningTrap</a> class. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramname">i</td><td>The number of particles to generate </td></tr>
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<tr><td class="paramname">B_0</td><td>The magnetic field strength </td></tr>
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<tr><td class="paramname">V_0</td><td>The time dependent applied potential </td></tr>
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<tr><td class="paramname">d</td><td>The characteristic dimension </td></tr>
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<tr><td class="paramname">t</td><td>The starting time </td></tr>
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</table>
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</dd>
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<p class="definition">Definition at line <a class="el" href="PenningTrap_8cpp_source.html#l00029">29</a> of file <a class="el" href="PenningTrap_8cpp_source.html">PenningTrap.cpp</a>.</p>
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<a id="addc96789dcfec07b75156e19fee82f4f" name="addc96789dcfec07b75156e19fee82f4f"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#addc96789dcfec07b75156e19fee82f4f">◆ </a></span>PenningTrap() <span class="overload">[3/3]</span></h2>
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<td class="memname">PenningTrap::PenningTrap </td>
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<td>(</td>
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<td class="paramtype">std::vector< <a class="el" href="classParticle.html">Particle</a> > </td>
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<td class="paramname"><em>particles</em>, </td>
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<td></td>
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<td class="paramtype">double </td>
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<td class="paramname"><em>B_0</em> = <code><a class="el" href="constants_8hpp.html#a0acb682b8260ab1c60b918599864e2e5">T</a></code>, </td>
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<td class="paramtype">double </td>
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<td class="paramname"><em>V_0</em> = <code>(25. * <a class="el" href="constants_8hpp.html#af40a326b23c68a27cebe60f16634a2cb">V</a>) / 1000.</code>, </td>
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<p>Constructor for the <a class="el" href="classPenningTrap.html" title="A class that simulates a Penning trap.">PenningTrap</a> class. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramname">particles</td><td>The starting particles </td></tr>
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<tr><td class="paramname">B_0</td><td>The magnetic field strength </td></tr>
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<tr><td class="paramname">V_0</td><td>The time dependent applied potential </td></tr>
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<tr><td class="paramname">d</td><td>The characteristic dimension </td></tr>
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<tr><td class="paramname">t</td><td>The starting time </td></tr>
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<p class="definition">Definition at line <a class="el" href="PenningTrap_8cpp_source.html#l00039">39</a> of file <a class="el" href="PenningTrap_8cpp_source.html">PenningTrap.cpp</a>.</p>
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<h2 class="groupheader">Member Function Documentation</h2>
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<a id="a6e9776ff5b149f01080800716455d7c8" name="a6e9776ff5b149f01080800716455d7c8"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#a6e9776ff5b149f01080800716455d7c8">◆ </a></span>add_particle()</h2>
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<td class="memname">void PenningTrap::add_particle </td>
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<td>(</td>
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<td class="paramname"><em>particle</em></td><td>)</td>
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<p>Add a particle to the system. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramname">particle</td><td>The particle to add to the Penning trap </td></tr>
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<p class="definition">Definition at line <a class="el" href="PenningTrap_8cpp_source.html#l00101">101</a> of file <a class="el" href="PenningTrap_8cpp_source.html">PenningTrap.cpp</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#ab9ea97a406534bbe621a95215144875e">◆ </a></span>evolve_forward_euler()</h2>
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<p>Go forward one timestep using the forward Euler method. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<tr><td class="paramname">dt</td><td>The step length </td></tr>
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<p class="definition">Definition at line <a class="el" href="PenningTrap_8cpp_source.html#l00201">201</a> of file <a class="el" href="PenningTrap_8cpp_source.html">PenningTrap.cpp</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a36946152fd951b1f7c346c51ff900d8e">◆ </a></span>evolve_RK4()</h2>
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<td class="memname">void PenningTrap::evolve_RK4 </td>
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<td>(</td>
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<p>Go forward one timestep using the RK4 method. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramname">dt</td><td>The step length </td></tr>
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<tr><td class="paramname">particle_interaction</td><td>Turn particle interactions on/off </td></tr>
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</dd>
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<p class="definition">Definition at line <a class="el" href="PenningTrap_8cpp_source.html#l00163">163</a> of file <a class="el" href="PenningTrap_8cpp_source.html">PenningTrap.cpp</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a361f2c4862c90b5e8e2a2f50c6a95655">◆ </a></span>external_B_field()</h2>
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<td class="memname"><a class="el" href="typedefs_8hpp.html#a3bdfb73a02f88ae32b6128ef747c4aea">vec3</a> PenningTrap::external_B_field </td>
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<p>Calculate B at point r. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramname">r</td><td>The position where we want to calculate the B field</td></tr>
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<dl class="section return"><dt>Returns</dt><dd>vec3 </dd></dl>
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<p class="definition">Definition at line <a class="el" href="PenningTrap_8cpp_source.html#l00114">114</a> of file <a class="el" href="PenningTrap_8cpp_source.html">PenningTrap.cpp</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a5846c8f75cdc543fd9cf0b2185a3ef22">◆ </a></span>external_E_field()</h2>
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<td class="memname"><a class="el" href="typedefs_8hpp.html#a3bdfb73a02f88ae32b6128ef747c4aea">vec3</a> PenningTrap::external_E_field </td>
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<td>(</td>
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<p>Calculate E at point r. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<tr><td class="paramname">r</td><td>The position where we want to calculate the E field</td></tr>
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<dl class="section return"><dt>Returns</dt><dd>vec3 </dd></dl>
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<p class="definition">Definition at line <a class="el" href="PenningTrap_8cpp_source.html#l00106">106</a> of file <a class="el" href="PenningTrap_8cpp_source.html">PenningTrap.cpp</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a7f210bb2768a5d79ced4b0df0df97598">◆ </a></span>force_on_particle()</h2>
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<td class="memname"><a class="el" href="typedefs_8hpp.html#a3bdfb73a02f88ae32b6128ef747c4aea">vec3</a> PenningTrap::force_on_particle </td>
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<p>Calculate the force between 2 particles. </p>
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<p>Calculate the force exhibited on particle p_i from particle p_j.</p>
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<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramname">i</td><td>The index of particle p_i </td></tr>
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<tr><td class="paramname">j</td><td>The index of particle p_j</td></tr>
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<dl class="section return"><dt>Returns</dt><dd>vec3 </dd></dl>
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<p class="definition">Definition at line <a class="el" href="PenningTrap_8cpp_source.html#l00119">119</a> of file <a class="el" href="PenningTrap_8cpp_source.html">PenningTrap.cpp</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#ac529aa26c288f34eae184a67e6bac41f">◆ </a></span>fraction_of_particles_left()</h2>
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<td class="memname">double PenningTrap::fraction_of_particles_left </td>
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<p>Simulate and calculate what fraction of particles are still left inside the Penning trap after the simulation. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramname">time</td><td>The time to simulate in microseconds </td></tr>
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<tr><td class="paramname">steps</td><td>The amount of steps for the whole simulation </td></tr>
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<tr><td class="paramname">method</td><td>The method to use when moving forward a timestep </td></tr>
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<tr><td class="paramname">particle_interaction</td><td>Turn particle interactions on/off</td></tr>
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<dl class="section return"><dt>Returns</dt><dd>double </dd></dl>
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<p class="definition">Definition at line <a class="el" href="PenningTrap_8cpp_source.html#l00297">297</a> of file <a class="el" href="PenningTrap_8cpp_source.html">PenningTrap.cpp</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a826b7fa8e709d481eb1dee7d0c2cdc08">◆ </a></span>r_func()</h2>
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<p>Helper for evolve_RK4 when calculating \(k_{r,i,j}\) values. </p>
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<p>Something</p>
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<tr><td class="paramname">i</td><td>Index i for \(k_{r,i,j}\) </td></tr>
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<tr><td class="paramname">j</td><td>Index j for \(k_{r,i,j}\) </td></tr>
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<tr><td class="paramname">dt</td><td>The step length (delta time)</td></tr>
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<dl class="section return"><dt>Returns</dt><dd>vec3 </dd></dl>
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<p class="definition">Definition at line <a class="el" href="PenningTrap_8cpp_source.html#l00082">82</a> of file <a class="el" href="PenningTrap_8cpp_source.html">PenningTrap.cpp</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#aaee129f177657455348d0c8ae1441dea">◆ </a></span>reinitialize()</h2>
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<td class="memname">void PenningTrap::reinitialize </td>
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<p>Give all particles new positions and velocities, and change t and V_0. </p>
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<tr><td class="paramname">V_0</td><td>The tiome dependent applied potential </td></tr>
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<p class="definition">Definition at line <a class="el" href="PenningTrap_8cpp_source.html#l00053">53</a> of file <a class="el" href="PenningTrap_8cpp_source.html">PenningTrap.cpp</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a9d1d8e90ca839b928aee1ad0cd4aff43">◆ </a></span>set_pertubation()</h2>
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<p>Time dependent perturbation to V_0. </p>
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<p class="definition">Definition at line <a class="el" href="PenningTrap_8cpp_source.html#l00046">46</a> of file <a class="el" href="PenningTrap_8cpp_source.html">PenningTrap.cpp</a>.</p>
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<p>Simulate the particle system inside the Penning trap over a certain amount of time. </p>
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<tr><td class="paramname">time</td><td>The time to simulate in microseconds </td></tr>
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<tr><td class="paramname">method</td><td>The method to use when moving forward a timestep </td></tr>
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<dl class="section return"><dt>Returns</dt><dd>simulation_t </dd></dl>
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<p class="definition">Definition at line <a class="el" href="PenningTrap_8cpp_source.html#l00228">228</a> of file <a class="el" href="PenningTrap_8cpp_source.html">PenningTrap.cpp</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a9a301b0540078c36697880ef204afdf3">◆ </a></span>total_force()</h2>
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<td class="memname"><a class="el" href="typedefs_8hpp.html#a3bdfb73a02f88ae32b6128ef747c4aea">vec3</a> PenningTrap::total_force </td>
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<p>calculate the total force on a particle p_i. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<tr><td class="paramname">i</td><td>The index of particle p_i</td></tr>
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<dl class="section return"><dt>Returns</dt><dd>vec3 </dd></dl>
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<p class="definition">Definition at line <a class="el" href="PenningTrap_8cpp_source.html#l00155">155</a> of file <a class="el" href="PenningTrap_8cpp_source.html">PenningTrap.cpp</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a2c01108b52c8e2a003cf9170da9e7682">◆ </a></span>total_force_external()</h2>
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<p>Calculate the total external force on a particle. </p>
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<p>Calculate the total amount of force that E and B exhibits on particle p_i.</p>
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<dl class="params"><dt>Parameters</dt><dd>
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<dl class="section return"><dt>Returns</dt><dd>vec3 </dd></dl>
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<p class="definition">Definition at line <a class="el" href="PenningTrap_8cpp_source.html#l00130">130</a> of file <a class="el" href="PenningTrap_8cpp_source.html">PenningTrap.cpp</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a2fe1cefbae18fa5808155ee0d2df713c">◆ </a></span>total_force_particles()</h2>
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<p>Calculate the total force on a particle p_i from other particles. </p>
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<dl class="section return"><dt>Returns</dt><dd>vec3 </dd></dl>
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<p class="definition">Definition at line <a class="el" href="PenningTrap_8cpp_source.html#l00143">143</a> of file <a class="el" href="PenningTrap_8cpp_source.html">PenningTrap.cpp</a>.</p>
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<p>Helper for evolve_RK4 when calculating \(k_{v,i,j}\) values. </p>
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<p class="definition">Definition at line <a class="el" href="PenningTrap_8cpp_source.html#l00063">63</a> of file <a class="el" href="PenningTrap_8cpp_source.html">PenningTrap.cpp</a>.</p>
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<p>Simulate and write the displacement of all particles to files. </p>
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<p class="definition">Definition at line <a class="el" href="PenningTrap_8cpp_source.html#l00259">259</a> of file <a class="el" href="PenningTrap_8cpp_source.html">PenningTrap.cpp</a>.</p>
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<h2 class="groupheader">Friends And Related Function Documentation</h2>
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<p class="definition">Definition at line <a class="el" href="PenningTrap_8hpp_source.html#l00232">232</a> of file <a class="el" href="PenningTrap_8hpp_source.html">PenningTrap.hpp</a>.</p>
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<h2 class="groupheader">Member Data Documentation</h2>
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<p>Magnetic field strength. </p>
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<p>Characteristic dimension. </p>
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<p>A 2D vector containing all \(k_{i,j}\) where \(j\) is the index of a particle </p>
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<p>A 2D vector containing all \(k_{i,j}\) where \(j\) is the index of a particle </p>
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<p>The particles in the Penning trap. </p>
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<p>Time-dependent perturbation. </p>
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<p class="definition">Definition at line <a class="el" href="PenningTrap_8hpp_source.html#l00036">36</a> of file <a class="el" href="PenningTrap_8hpp_source.html">PenningTrap.hpp</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a8ca4e21291f60fde619c14099d8c4e8e">◆ </a></span>t</h2>
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<p>Current time. </p>
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<p class="definition">Definition at line <a class="el" href="PenningTrap_8hpp_source.html#l00038">38</a> of file <a class="el" href="PenningTrap_8hpp_source.html">PenningTrap.hpp</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a715329844d75ec4c04f8391421fb4e89">◆ </a></span>V_0</h2>
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<p>Applied potential. </p>
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<p class="definition">Definition at line <a class="el" href="PenningTrap_8hpp_source.html#l00035">35</a> of file <a class="el" href="PenningTrap_8hpp_source.html">PenningTrap.hpp</a>.</p>
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<hr/>The documentation for this class was generated from the following files:<ul>
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<li>include/<a class="el" href="PenningTrap_8hpp_source.html">PenningTrap.hpp</a></li>
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<li>src/<a class="el" href="PenningTrap_8cpp_source.html">PenningTrap.cpp</a></li>
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