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537 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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<div class="headertitle"><div class="title">PenningTrap Class Reference</div></div>
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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:a81add5063bd5f29d77f0b5c299c6c560"><td class="memItemLeft" align="right" valign="top"> </td><td class="memItemRight" valign="bottom"><a class="el" href="classPenningTrap.html#a81add5063bd5f29d77f0b5c299c6c560">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.)</td></tr>
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<tr class="memdesc:a81add5063bd5f29d77f0b5c299c6c560"><td class="mdescLeft"> </td><td class="mdescRight">Set B_0, V_0 and d. <br /></td></tr>
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<tr class="separator:a81add5063bd5f29d77f0b5c299c6c560"><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:a978a2e2026a4b5308d5184712f81704b"><td class="memItemLeft" align="right" valign="top">arma::vec </td><td class="memItemRight" valign="bottom"><a class="el" href="classPenningTrap.html#a978a2e2026a4b5308d5184712f81704b">external_E_field</a> (arma::vec r)</td></tr>
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<tr class="memdesc:a978a2e2026a4b5308d5184712f81704b"><td class="mdescLeft"> </td><td class="mdescRight">Calculate E at point r. <br /></td></tr>
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<tr class="separator:a978a2e2026a4b5308d5184712f81704b"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a2a3e7f480ba52e9f24d4c50c3981a784"><td class="memItemLeft" align="right" valign="top">arma::vec </td><td class="memItemRight" valign="bottom"><a class="el" href="classPenningTrap.html#a2a3e7f480ba52e9f24d4c50c3981a784">external_B_field</a> (arma::vec r)</td></tr>
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<tr class="memdesc:a2a3e7f480ba52e9f24d4c50c3981a784"><td class="mdescLeft"> </td><td class="mdescRight">Calculate B at point r. <br /></td></tr>
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<tr class="separator:a2a3e7f480ba52e9f24d4c50c3981a784"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a4790f41e4fbc6ede4991aa7bbda92182"><td class="memItemLeft" align="right" valign="top">arma::vec </td><td class="memItemRight" valign="bottom"><a class="el" href="classPenningTrap.html#a4790f41e4fbc6ede4991aa7bbda92182">force_on_particle</a> (int i, int j)</td></tr>
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<tr class="memdesc:a4790f41e4fbc6ede4991aa7bbda92182"><td class="mdescLeft"> </td><td class="mdescRight">Calculate the force between 2 particles. <br /></td></tr>
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<tr class="separator:a4790f41e4fbc6ede4991aa7bbda92182"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a045adb85e97a8e0c38fb36d2fd74eeee"><td class="memItemLeft" align="right" valign="top">arma::vec </td><td class="memItemRight" valign="bottom"><a class="el" href="classPenningTrap.html#a045adb85e97a8e0c38fb36d2fd74eeee">total_force_external</a> (int i)</td></tr>
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<tr class="memdesc:a045adb85e97a8e0c38fb36d2fd74eeee"><td class="mdescLeft"> </td><td class="mdescRight">Calculate the total external force on a particle. <br /></td></tr>
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<tr class="separator:a045adb85e97a8e0c38fb36d2fd74eeee"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a135db7d991d9b88b00fde4edee71f78d"><td class="memItemLeft" align="right" valign="top">arma::vec </td><td class="memItemRight" valign="bottom"><a class="el" href="classPenningTrap.html#a135db7d991d9b88b00fde4edee71f78d">total_force_particles</a> (int i)</td></tr>
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<tr class="memdesc:a135db7d991d9b88b00fde4edee71f78d"><td class="mdescLeft"> </td><td class="mdescRight">Calculate the total force on a particle from other particles. <br /></td></tr>
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<tr class="separator:a135db7d991d9b88b00fde4edee71f78d"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a83cc7a04dae009ed8e75453c38fdf8be"><td class="memItemLeft" align="right" valign="top">arma::vec </td><td class="memItemRight" valign="bottom"><a class="el" href="classPenningTrap.html#a83cc7a04dae009ed8e75453c38fdf8be">total_force</a> (int i)</td></tr>
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<tr class="memdesc:a83cc7a04dae009ed8e75453c38fdf8be"><td class="mdescLeft"> </td><td class="mdescRight">calculate the total force on a particle. <br /></td></tr>
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<tr class="separator:a83cc7a04dae009ed8e75453c38fdf8be"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ab891b839c40eeb38d8a2a636c70090a9"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="classPenningTrap.html#ab891b839c40eeb38d8a2a636c70090a9">evolve_RK4</a> (double dt)</td></tr>
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<tr class="memdesc:ab891b839c40eeb38d8a2a636c70090a9"><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:ab891b839c40eeb38d8a2a636c70090a9"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a56544b6f4befb42984e9650cf2a40965"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="classPenningTrap.html#a56544b6f4befb42984e9650cf2a40965">evolve_forward_euler</a> (double dt)</td></tr>
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<tr class="memdesc:a56544b6f4befb42984e9650cf2a40965"><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:a56544b6f4befb42984e9650cf2a40965"><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: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: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="separator:a0112525d9e79a472e761f8ef402a339f"><td class="memSeparator" colspan="2"> </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#l00025">25</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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<a id="a81add5063bd5f29d77f0b5c299c6c560" name="a81add5063bd5f29d77f0b5c299c6c560"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#a81add5063bd5f29d77f0b5c299c6c560">◆ </a></span>PenningTrap()</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></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 class="paramname"><em>d</em> = <code>500.</code> </td>
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<td></td>
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<td>)</td>
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<td></td><td></td>
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</div><div class="memdoc">
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<p>Set B_0, V_0 and d. </p>
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<p class="definition">Definition at line <a class="el" href="PenningTrap_8cpp_source.html#l00026">26</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="paramtype"><a class="el" href="classParticle.html">Particle</a> </td>
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<td class="paramname"><em>particle</em></td><td>)</td>
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<td></td>
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<p>Add a particle to the system. </p>
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<p class="definition">Definition at line <a class="el" href="PenningTrap_8cpp_source.html#l00031">31</a> of file <a class="el" href="PenningTrap_8cpp_source.html">PenningTrap.cpp</a>.</p>
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</div>
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<a id="a56544b6f4befb42984e9650cf2a40965" name="a56544b6f4befb42984e9650cf2a40965"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#a56544b6f4befb42984e9650cf2a40965">◆ </a></span>evolve_forward_euler()</h2>
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<td class="memname">void PenningTrap::evolve_forward_euler </td>
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<td>(</td>
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<td class="paramtype">double </td>
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<td class="paramname"><em>dt</em></td><td>)</td>
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<td></td>
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<p>Go forward one timestep using the forward Euler method. </p>
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<p class="definition">Definition at line <a class="el" href="PenningTrap_8cpp_source.html#l00071">71</a> of file <a class="el" href="PenningTrap_8cpp_source.html">PenningTrap.cpp</a>.</p>
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<a id="ab891b839c40eeb38d8a2a636c70090a9" name="ab891b839c40eeb38d8a2a636c70090a9"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#ab891b839c40eeb38d8a2a636c70090a9">◆ </a></span>evolve_RK4()</h2>
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<td class="memname">void PenningTrap::evolve_RK4 </td>
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<p>Go forward one timestep using the RK4 method. </p>
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<p class="definition">Definition at line <a class="el" href="PenningTrap_8cpp_source.html#l00066">66</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="#a2a3e7f480ba52e9f24d4c50c3981a784">◆ </a></span>external_B_field()</h2>
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<td class="memname">arma::vec PenningTrap::external_B_field </td>
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<p>Calculate B at point r. </p>
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<p class="definition">Definition at line <a class="el" href="PenningTrap_8cpp_source.html#l00041">41</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="#a978a2e2026a4b5308d5184712f81704b">◆ </a></span>external_E_field()</h2>
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<p>Calculate E at point r. </p>
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<p class="definition">Definition at line <a class="el" href="PenningTrap_8cpp_source.html#l00036">36</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="#a4790f41e4fbc6ede4991aa7bbda92182">◆ </a></span>force_on_particle()</h2>
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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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<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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<h2 class="memtitle"><span class="permalink"><a href="#a83cc7a04dae009ed8e75453c38fdf8be">◆ </a></span>total_force()</h2>
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<p>calculate the total force on a particle. </p>
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<p class="definition">Definition at line <a class="el" href="PenningTrap_8cpp_source.html#l00061">61</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="#a045adb85e97a8e0c38fb36d2fd74eeee">◆ </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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<p class="definition">Definition at line <a class="el" href="PenningTrap_8cpp_source.html#l00051">51</a> of file <a class="el" href="PenningTrap_8cpp_source.html">PenningTrap.cpp</a>.</p>
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<p>Calculate the total force on a particle from other particles. </p>
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<p class="definition">Definition at line <a class="el" href="PenningTrap_8cpp_source.html#l00056">56</a> of file <a class="el" href="PenningTrap_8cpp_source.html">PenningTrap.cpp</a>.</p>
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<h2 class="groupheader">Member Data Documentation</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#a0cac3509aa96e71a26d3b2c902e27716">◆ </a></span>B_0</h2>
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<p>Magnetic field strength. </p>
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<p class="definition">Definition at line <a class="el" href="PenningTrap_8hpp_source.html#l00027">27</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="#a66dfe89c68716b9502927b97f59c27d2">◆ </a></span>d</h2>
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<p>Characteristic dimension. </p>
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<p class="definition">Definition at line <a class="el" href="PenningTrap_8hpp_source.html#l00029">29</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="#a0112525d9e79a472e761f8ef402a339f">◆ </a></span>particles</h2>
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<p>The particles in the Penning trap. </p>
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<p class="definition">Definition at line <a class="el" href="PenningTrap_8hpp_source.html#l00030">30</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#l00028">28</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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