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<div id="projectbrief">Simulate particle behavior inside a Penning Trap</div>
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<a href="PenningTrap_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno"> 1</span> </div>
<div class="line"><a id="l00012" name="l00012"></a><span class="lineno"> 12</span><span class="preprocessor">#ifndef __PENNING_TRAP__</span></div>
<div class="line"><a id="l00013" name="l00013"></a><span class="lineno"> 13</span><span class="preprocessor">#define __PENNING_TRAP__</span></div>
<div class="line"><a id="l00014" name="l00014"></a><span class="lineno"> 14</span> </div>
<div class="line"><a id="l00015" name="l00015"></a><span class="lineno"> 15</span><span class="preprocessor">#include &lt;armadillo&gt;</span></div>
<div class="line"><a id="l00016" name="l00016"></a><span class="lineno"> 16</span><span class="preprocessor">#include &lt;omp.h&gt;</span></div>
<div class="line"><a id="l00017" name="l00017"></a><span class="lineno"> 17</span> </div>
<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span><span class="preprocessor">#include &quot;<a class="code" href="Particle_8hpp.html">Particle.hpp</a>&quot;</span></div>
<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</span><span class="preprocessor">#include &quot;<a class="code" href="constants_8hpp.html">constants.hpp</a>&quot;</span></div>
<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span><span class="preprocessor">#include &quot;<a class="code" href="typedefs_8hpp.html">typedefs.hpp</a>&quot;</span></div>
<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span> </div>
<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span><span class="preprocessor">#pragma omp declare reduction(+ : vec_3d : omp_out += omp_in) \</span></div>
<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</span><span class="preprocessor"> initializer(omp_priv = omp_orig)</span></div>
<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span> </div>
<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"><a class="line" href="classPenningTrap.html"> 30</a></span><span class="keyword">class </span><a class="code hl_class" href="classPenningTrap.html">PenningTrap</a> {</div>
<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span><span class="keyword">private</span>:</div>
<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"><a class="line" href="classPenningTrap.html#a0cac3509aa96e71a26d3b2c902e27716"> 32</a></span> <span class="keywordtype">double</span> <a class="code hl_variable" href="classPenningTrap.html#a0cac3509aa96e71a26d3b2c902e27716">B_0</a>; </div>
<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"><a class="line" href="classPenningTrap.html#aaf105828121c4a33cc2b217453c20317"> 33</a></span> std::function&lt;double(<span class="keywordtype">double</span>)&gt; <a class="code hl_variable" href="classPenningTrap.html#aaf105828121c4a33cc2b217453c20317">V_0</a>; </div>
<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"><a class="line" href="classPenningTrap.html#a66dfe89c68716b9502927b97f59c27d2"> 34</a></span> <span class="keywordtype">double</span> <a class="code hl_variable" href="classPenningTrap.html#a66dfe89c68716b9502927b97f59c27d2">d</a>; </div>
<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"><a class="line" href="classPenningTrap.html#a8ca4e21291f60fde619c14099d8c4e8e"> 35</a></span> <span class="keywordtype">double</span> <a class="code hl_variable" href="classPenningTrap.html#a8ca4e21291f60fde619c14099d8c4e8e">t</a>; </div>
<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"><a class="line" href="classPenningTrap.html#a0112525d9e79a472e761f8ef402a339f"> 36</a></span> std::vector&lt;Particle&gt; <a class="code hl_variable" href="classPenningTrap.html#a0112525d9e79a472e761f8ef402a339f">particles</a>; </div>
<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"><a class="line" href="classPenningTrap.html#ae9b5afdaa5cd366e94bd294452a1eed4"> 37</a></span> <a class="code hl_typedef" href="typedefs_8hpp.html#aec69d34220fff45de238b9e01f2686af">sim_arr</a> <a class="code hl_variable" href="classPenningTrap.html#ae9b5afdaa5cd366e94bd294452a1eed4">k_v</a>; </div>
<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"><a class="line" href="classPenningTrap.html#a2f168622587709b9e3c49077f0b9a640"> 39</a></span> <a class="code hl_typedef" href="typedefs_8hpp.html#aec69d34220fff45de238b9e01f2686af">sim_arr</a> <a class="code hl_variable" href="classPenningTrap.html#a2f168622587709b9e3c49077f0b9a640">k_r</a>; </div>
<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span> </div>
<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span> <a class="code hl_typedef" href="typedefs_8hpp.html#a9f33f4962c8fb62cc5ccd0e4e039a8df">vec_3d</a> <a class="code hl_function" href="classPenningTrap.html#af98a720da60b0e1a62aefa5f5cb37c1e">v_func</a>(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> i, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> j, <span class="keywordtype">double</span> dt);</div>
<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span> </div>
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> <a class="code hl_typedef" href="typedefs_8hpp.html#a9f33f4962c8fb62cc5ccd0e4e039a8df">vec_3d</a> <a class="code hl_function" href="classPenningTrap.html#a43e74792ab4b3f9299f35cb64bdb2648">r_func</a>(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> i, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> j, <span class="keywordtype">double</span> dt);</div>
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> </div>
<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span><span class="keyword">public</span>:</div>
<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span> <a class="code hl_class" href="classPenningTrap.html">PenningTrap</a>(</div>
<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span> <span class="keywordtype">double</span> <a class="code hl_variable" href="classPenningTrap.html#a0cac3509aa96e71a26d3b2c902e27716">B_0</a> = <a class="code hl_define" href="constants_8hpp.html#a0acb682b8260ab1c60b918599864e2e5">T</a>,</div>
<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> std::function&lt;<span class="keywordtype">double</span>(<span class="keywordtype">double</span>)&gt; <a class="code hl_variable" href="classPenningTrap.html#aaf105828121c4a33cc2b217453c20317">V_0</a> =</div>
<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span> [](<span class="keywordtype">double</span> <a class="code hl_variable" href="classPenningTrap.html#a8ca4e21291f60fde619c14099d8c4e8e">t</a>) { <span class="keywordflow">return</span> 25. * <a class="code hl_define" href="constants_8hpp.html#af40a326b23c68a27cebe60f16634a2cb">V</a> / 1000.; },</div>
<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span> <span class="keywordtype">double</span> <a class="code hl_variable" href="classPenningTrap.html#a66dfe89c68716b9502927b97f59c27d2">d</a> = 500., <span class="keywordtype">double</span> <a class="code hl_variable" href="classPenningTrap.html#a8ca4e21291f60fde619c14099d8c4e8e">t</a> = 0.);</div>
<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span> </div>
<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span> <a class="code hl_class" href="classPenningTrap.html">PenningTrap</a>(</div>
<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> i, <span class="keywordtype">double</span> <a class="code hl_variable" href="classPenningTrap.html#a0cac3509aa96e71a26d3b2c902e27716">B_0</a> = <a class="code hl_define" href="constants_8hpp.html#a0acb682b8260ab1c60b918599864e2e5">T</a>,</div>
<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span> std::function&lt;<span class="keywordtype">double</span>(<span class="keywordtype">double</span>)&gt; <a class="code hl_variable" href="classPenningTrap.html#aaf105828121c4a33cc2b217453c20317">V_0</a> =</div>
<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span> [](<span class="keywordtype">double</span> <a class="code hl_variable" href="classPenningTrap.html#a8ca4e21291f60fde619c14099d8c4e8e">t</a>) { <span class="keywordflow">return</span> 25. * <a class="code hl_define" href="constants_8hpp.html#af40a326b23c68a27cebe60f16634a2cb">V</a> / 1000.; },</div>
<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span> <span class="keywordtype">double</span> <a class="code hl_variable" href="classPenningTrap.html#a66dfe89c68716b9502927b97f59c27d2">d</a> = 500., <span class="keywordtype">double</span> <a class="code hl_variable" href="classPenningTrap.html#a8ca4e21291f60fde619c14099d8c4e8e">t</a> = 0.);</div>
<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span> </div>
<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span> <a class="code hl_class" href="classPenningTrap.html">PenningTrap</a>(</div>
<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span> std::vector&lt;Particle&gt; <a class="code hl_variable" href="classPenningTrap.html#a0112525d9e79a472e761f8ef402a339f">particles</a>, <span class="keywordtype">double</span> <a class="code hl_variable" href="classPenningTrap.html#a0cac3509aa96e71a26d3b2c902e27716">B_0</a> = <a class="code hl_define" href="constants_8hpp.html#a0acb682b8260ab1c60b918599864e2e5">T</a>,</div>
<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span> std::function&lt;<span class="keywordtype">double</span>(<span class="keywordtype">double</span>)&gt; <a class="code hl_variable" href="classPenningTrap.html#aaf105828121c4a33cc2b217453c20317">V_0</a> =</div>
<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span> [](<span class="keywordtype">double</span> <a class="code hl_variable" href="classPenningTrap.html#a8ca4e21291f60fde619c14099d8c4e8e">t</a>) { <span class="keywordflow">return</span> 25. * <a class="code hl_define" href="constants_8hpp.html#af40a326b23c68a27cebe60f16634a2cb">V</a> / 1000.; },</div>
<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span> <span class="keywordtype">double</span> <a class="code hl_variable" href="classPenningTrap.html#a66dfe89c68716b9502927b97f59c27d2">d</a> = 500., <span class="keywordtype">double</span> <a class="code hl_variable" href="classPenningTrap.html#a8ca4e21291f60fde619c14099d8c4e8e">t</a> = 0.);</div>
<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span> </div>
<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classPenningTrap.html#a6e9776ff5b149f01080800716455d7c8">add_particle</a>(<a class="code hl_class" href="classParticle.html">Particle</a> particle);</div>
<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span> </div>
<div class="line"><a id="l00120" name="l00120"></a><span class="lineno"> 120</span> <a class="code hl_typedef" href="typedefs_8hpp.html#a9f33f4962c8fb62cc5ccd0e4e039a8df">vec_3d</a> <a class="code hl_function" href="classPenningTrap.html#a1d58feaa2c9e34cbf26b1c5ed75ca9d9">external_E_field</a>(<a class="code hl_typedef" href="typedefs_8hpp.html#a9f33f4962c8fb62cc5ccd0e4e039a8df">vec_3d</a> r);</div>
<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"> 121</span> </div>
<div class="line"><a id="l00128" name="l00128"></a><span class="lineno"> 128</span> <a class="code hl_typedef" href="typedefs_8hpp.html#a9f33f4962c8fb62cc5ccd0e4e039a8df">vec_3d</a> <a class="code hl_function" href="classPenningTrap.html#acbf065c9c125682329ad82a8d166554c">external_B_field</a>(<a class="code hl_typedef" href="typedefs_8hpp.html#a9f33f4962c8fb62cc5ccd0e4e039a8df">vec_3d</a> r);</div>
<div class="line"><a id="l00129" name="l00129"></a><span class="lineno"> 129</span> </div>
<div class="line"><a id="l00140" name="l00140"></a><span class="lineno"> 140</span> <a class="code hl_typedef" href="typedefs_8hpp.html#a9f33f4962c8fb62cc5ccd0e4e039a8df">vec_3d</a> <a class="code hl_function" href="classPenningTrap.html#a9ae34ad740a230e667e96bc6ee8730ce">force_on_particle</a>(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> i, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> j);</div>
<div class="line"><a id="l00141" name="l00141"></a><span class="lineno"> 141</span> </div>
<div class="line"><a id="l00151" name="l00151"></a><span class="lineno"> 151</span> <a class="code hl_typedef" href="typedefs_8hpp.html#a9f33f4962c8fb62cc5ccd0e4e039a8df">vec_3d</a> <a class="code hl_function" href="classPenningTrap.html#ae72d203b0bfa1b9e72bea28cb2863c56">total_force_external</a>(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> i);</div>
<div class="line"><a id="l00152" name="l00152"></a><span class="lineno"> 152</span> </div>
<div class="line"><a id="l00159" name="l00159"></a><span class="lineno"> 159</span> <a class="code hl_typedef" href="typedefs_8hpp.html#a9f33f4962c8fb62cc5ccd0e4e039a8df">vec_3d</a> <a class="code hl_function" href="classPenningTrap.html#a46a954a0946def199e30fb300ba1c47b">total_force_particles</a>(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> i);</div>
<div class="line"><a id="l00160" name="l00160"></a><span class="lineno"> 160</span> </div>
<div class="line"><a id="l00167" name="l00167"></a><span class="lineno"> 167</span> <a class="code hl_typedef" href="typedefs_8hpp.html#a9f33f4962c8fb62cc5ccd0e4e039a8df">vec_3d</a> <a class="code hl_function" href="classPenningTrap.html#a1f668c4433421136ad51741741aa1bc8">total_force</a>(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> i);</div>
<div class="line"><a id="l00168" name="l00168"></a><span class="lineno"> 168</span> </div>
<div class="line"><a id="l00174" name="l00174"></a><span class="lineno"> 174</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classPenningTrap.html#a36946152fd951b1f7c346c51ff900d8e">evolve_RK4</a>(<span class="keywordtype">double</span> dt, <span class="keywordtype">bool</span> particle_interaction = <span class="keyword">true</span>);</div>
<div class="line"><a id="l00175" name="l00175"></a><span class="lineno"> 175</span> </div>
<div class="line"><a id="l00181" name="l00181"></a><span class="lineno"> 181</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classPenningTrap.html#ab9ea97a406534bbe621a95215144875e">evolve_forward_euler</a>(<span class="keywordtype">double</span> dt, <span class="keywordtype">bool</span> particle_interaction = <span class="keyword">true</span>);</div>
<div class="line"><a id="l00182" name="l00182"></a><span class="lineno"> 182</span> </div>
<div class="line"><a id="l00191" name="l00191"></a><span class="lineno"> 191</span> <a class="code hl_typedef" href="typedefs_8hpp.html#aec69d34220fff45de238b9e01f2686af">sim_arr</a> <a class="code hl_function" href="classPenningTrap.html#a5331837e6dd7bce807a99edd2ba7e854">simulate</a>(<span class="keywordtype">double</span> time, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> steps,</div>
<div class="line"><a id="l00192" name="l00192"></a><span class="lineno"> 192</span> std::string method = <span class="stringliteral">&quot;rk4&quot;</span>,</div>
<div class="line"><a id="l00193" name="l00193"></a><span class="lineno"> 193</span> <span class="keywordtype">bool</span> particle_interaction = <span class="keyword">true</span>);</div>
<div class="line"><a id="l00194" name="l00194"></a><span class="lineno"> 194</span> </div>
<div class="line"><a id="l00203" name="l00203"></a><span class="lineno"> 203</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classPenningTrap.html#abbb832a85139b1a56ebde57d7b8f9a57">write_simulation_to_dir</a>(std::string path, <span class="keywordtype">double</span> time,</div>
<div class="line"><a id="l00204" name="l00204"></a><span class="lineno"> 204</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> steps, std::string method = <span class="stringliteral">&quot;rk4&quot;</span>,</div>
<div class="line"><a id="l00205" name="l00205"></a><span class="lineno"> 205</span> <span class="keywordtype">bool</span> particle_interaction = <span class="keyword">true</span>);</div>
<div class="line"><a id="l00206" name="l00206"></a><span class="lineno"> 206</span> </div>
<div class="line"><a id="l00217" name="l00217"></a><span class="lineno"> 217</span> <span class="keywordtype">double</span> <a class="code hl_function" href="classPenningTrap.html#a0194be61c956a9259c747c23e4163c5b">fraction_of_particles_left</a>(<span class="keywordtype">double</span> time, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> steps,</div>
<div class="line"><a id="l00218" name="l00218"></a><span class="lineno"> 218</span> std::string method = <span class="stringliteral">&quot;rk4&quot;</span>,</div>
<div class="line"><a id="l00219" name="l00219"></a><span class="lineno"> 219</span> <span class="keywordtype">bool</span> particle_interaction = <span class="keyword">true</span>);</div>
<div class="line"><a id="l00220" name="l00220"></a><span class="lineno"> 220</span>};</div>
<div class="line"><a id="l00221" name="l00221"></a><span class="lineno"> 221</span> </div>
<div class="line"><a id="l00222" name="l00222"></a><span class="lineno"> 222</span><span class="preprocessor">#endif</span></div>
<div class="ttc" id="aParticle_8hpp_html"><div class="ttname"><a href="Particle_8hpp.html">Particle.hpp</a></div><div class="ttdoc">A class that holds the properties of a particle.</div></div>
<div class="ttc" id="aclassParticle_html"><div class="ttname"><a href="classParticle.html">Particle</a></div><div class="ttdoc">A class that holds attributes of a particle.</div><div class="ttdef"><b>Definition:</b> <a href="Particle_8hpp_source.html#l00021">Particle.hpp:21</a></div></div>
<div class="ttc" id="aclassPenningTrap_html"><div class="ttname"><a href="classPenningTrap.html">PenningTrap</a></div><div class="ttdoc">A class that simulates a Penning trap.</div><div class="ttdef"><b>Definition:</b> <a href="PenningTrap_8hpp_source.html#l00030">PenningTrap.hpp:30</a></div></div>
<div class="ttc" id="aclassPenningTrap_html_a0112525d9e79a472e761f8ef402a339f"><div class="ttname"><a href="classPenningTrap.html#a0112525d9e79a472e761f8ef402a339f">PenningTrap::particles</a></div><div class="ttdeci">std::vector&lt; Particle &gt; particles</div><div class="ttdoc">The particles in the Penning trap.</div><div class="ttdef"><b>Definition:</b> <a href="PenningTrap_8hpp_source.html#l00036">PenningTrap.hpp:36</a></div></div>
<div class="ttc" id="aclassPenningTrap_html_a0194be61c956a9259c747c23e4163c5b"><div class="ttname"><a href="classPenningTrap.html#a0194be61c956a9259c747c23e4163c5b">PenningTrap::fraction_of_particles_left</a></div><div class="ttdeci">double fraction_of_particles_left(double time, unsigned int steps, std::string method=&quot;rk4&quot;, bool particle_interaction=true)</div><div class="ttdoc">Simulate and calculate what fraction of particles are still left inside the Penning trap after the si...</div><div class="ttdef"><b>Definition:</b> <a href="PenningTrap_8cpp_source.html#l00266">PenningTrap.cpp:266</a></div></div>
<div class="ttc" id="aclassPenningTrap_html_a0cac3509aa96e71a26d3b2c902e27716"><div class="ttname"><a href="classPenningTrap.html#a0cac3509aa96e71a26d3b2c902e27716">PenningTrap::B_0</a></div><div class="ttdeci">double B_0</div><div class="ttdoc">Magnetic field strength.</div><div class="ttdef"><b>Definition:</b> <a href="PenningTrap_8hpp_source.html#l00032">PenningTrap.hpp:32</a></div></div>
<div class="ttc" id="aclassPenningTrap_html_a1d58feaa2c9e34cbf26b1c5ed75ca9d9"><div class="ttname"><a href="classPenningTrap.html#a1d58feaa2c9e34cbf26b1c5ed75ca9d9">PenningTrap::external_E_field</a></div><div class="ttdeci">vec_3d external_E_field(vec_3d r)</div><div class="ttdoc">Calculate E at point r.</div><div class="ttdef"><b>Definition:</b> <a href="PenningTrap_8cpp_source.html#l00087">PenningTrap.cpp:87</a></div></div>
<div class="ttc" id="aclassPenningTrap_html_a1f668c4433421136ad51741741aa1bc8"><div class="ttname"><a href="classPenningTrap.html#a1f668c4433421136ad51741741aa1bc8">PenningTrap::total_force</a></div><div class="ttdeci">vec_3d total_force(unsigned int i)</div><div class="ttdoc">calculate the total force on a particle p_i.</div><div class="ttdef"><b>Definition:</b> <a href="PenningTrap_8cpp_source.html#l00146">PenningTrap.cpp:146</a></div></div>
<div class="ttc" id="aclassPenningTrap_html_a2f168622587709b9e3c49077f0b9a640"><div class="ttname"><a href="classPenningTrap.html#a2f168622587709b9e3c49077f0b9a640">PenningTrap::k_r</a></div><div class="ttdeci">sim_arr k_r</div><div class="ttdef"><b>Definition:</b> <a href="PenningTrap_8hpp_source.html#l00039">PenningTrap.hpp:39</a></div></div>
<div class="ttc" id="aclassPenningTrap_html_a36946152fd951b1f7c346c51ff900d8e"><div class="ttname"><a href="classPenningTrap.html#a36946152fd951b1f7c346c51ff900d8e">PenningTrap::evolve_RK4</a></div><div class="ttdeci">void evolve_RK4(double dt, bool particle_interaction=true)</div><div class="ttdoc">Go forward one timestep using the RK4 method.</div><div class="ttdef"><b>Definition:</b> <a href="PenningTrap_8cpp_source.html#l00151">PenningTrap.cpp:151</a></div></div>
<div class="ttc" id="aclassPenningTrap_html_a43e74792ab4b3f9299f35cb64bdb2648"><div class="ttname"><a href="classPenningTrap.html#a43e74792ab4b3f9299f35cb64bdb2648">PenningTrap::r_func</a></div><div class="ttdeci">vec_3d r_func(unsigned int i, unsigned int j, double dt)</div><div class="ttdoc">Helper for evolve_RK4 when calculating values.</div><div class="ttdef"><b>Definition:</b> <a href="PenningTrap_8cpp_source.html#l00064">PenningTrap.cpp:64</a></div></div>
<div class="ttc" id="aclassPenningTrap_html_a46a954a0946def199e30fb300ba1c47b"><div class="ttname"><a href="classPenningTrap.html#a46a954a0946def199e30fb300ba1c47b">PenningTrap::total_force_particles</a></div><div class="ttdeci">vec_3d total_force_particles(unsigned int i)</div><div class="ttdoc">Calculate the total force on a particle p_i from other particles.</div><div class="ttdef"><b>Definition:</b> <a href="PenningTrap_8cpp_source.html#l00129">PenningTrap.cpp:129</a></div></div>
<div class="ttc" id="aclassPenningTrap_html_a5331837e6dd7bce807a99edd2ba7e854"><div class="ttname"><a href="classPenningTrap.html#a5331837e6dd7bce807a99edd2ba7e854">PenningTrap::simulate</a></div><div class="ttdeci">sim_arr simulate(double time, unsigned int steps, std::string method=&quot;rk4&quot;, bool particle_interaction=true)</div><div class="ttdoc">Simulate the particle system inside the Penning trap over a certain amount of time.</div><div class="ttdef"><b>Definition:</b> <a href="PenningTrap_8cpp_source.html#l00211">PenningTrap.cpp:211</a></div></div>
<div class="ttc" id="aclassPenningTrap_html_a66dfe89c68716b9502927b97f59c27d2"><div class="ttname"><a href="classPenningTrap.html#a66dfe89c68716b9502927b97f59c27d2">PenningTrap::d</a></div><div class="ttdeci">double d</div><div class="ttdoc">Characteristic dimension.</div><div class="ttdef"><b>Definition:</b> <a href="PenningTrap_8hpp_source.html#l00034">PenningTrap.hpp:34</a></div></div>
<div class="ttc" id="aclassPenningTrap_html_a6e9776ff5b149f01080800716455d7c8"><div class="ttname"><a href="classPenningTrap.html#a6e9776ff5b149f01080800716455d7c8">PenningTrap::add_particle</a></div><div class="ttdeci">void add_particle(Particle particle)</div><div class="ttdoc">Add a particle to the system.</div><div class="ttdef"><b>Definition:</b> <a href="PenningTrap_8cpp_source.html#l00082">PenningTrap.cpp:82</a></div></div>
<div class="ttc" id="aclassPenningTrap_html_a8ca4e21291f60fde619c14099d8c4e8e"><div class="ttname"><a href="classPenningTrap.html#a8ca4e21291f60fde619c14099d8c4e8e">PenningTrap::t</a></div><div class="ttdeci">double t</div><div class="ttdoc">Current time.</div><div class="ttdef"><b>Definition:</b> <a href="PenningTrap_8hpp_source.html#l00035">PenningTrap.hpp:35</a></div></div>
<div class="ttc" id="aclassPenningTrap_html_a9ae34ad740a230e667e96bc6ee8730ce"><div class="ttname"><a href="classPenningTrap.html#a9ae34ad740a230e667e96bc6ee8730ce">PenningTrap::force_on_particle</a></div><div class="ttdeci">vec_3d force_on_particle(unsigned int i, unsigned int j)</div><div class="ttdoc">Calculate the force between 2 particles.</div><div class="ttdef"><b>Definition:</b> <a href="PenningTrap_8cpp_source.html#l00100">PenningTrap.cpp:100</a></div></div>
<div class="ttc" id="aclassPenningTrap_html_aaf105828121c4a33cc2b217453c20317"><div class="ttname"><a href="classPenningTrap.html#aaf105828121c4a33cc2b217453c20317">PenningTrap::V_0</a></div><div class="ttdeci">std::function&lt; double(double)&gt; V_0</div><div class="ttdoc">Applied potential.</div><div class="ttdef"><b>Definition:</b> <a href="PenningTrap_8hpp_source.html#l00033">PenningTrap.hpp:33</a></div></div>
<div class="ttc" id="aclassPenningTrap_html_ab9ea97a406534bbe621a95215144875e"><div class="ttname"><a href="classPenningTrap.html#ab9ea97a406534bbe621a95215144875e">PenningTrap::evolve_forward_euler</a></div><div class="ttdeci">void evolve_forward_euler(double dt, bool particle_interaction=true)</div><div class="ttdoc">Go forward one timestep using the forward Euler method.</div><div class="ttdef"><b>Definition:</b> <a href="PenningTrap_8cpp_source.html#l00186">PenningTrap.cpp:186</a></div></div>
<div class="ttc" id="aclassPenningTrap_html_abbb832a85139b1a56ebde57d7b8f9a57"><div class="ttname"><a href="classPenningTrap.html#abbb832a85139b1a56ebde57d7b8f9a57">PenningTrap::write_simulation_to_dir</a></div><div class="ttdeci">void write_simulation_to_dir(std::string path, double time, unsigned int steps, std::string method=&quot;rk4&quot;, bool particle_interaction=true)</div><div class="ttdoc">Simulate and write the displacement of all particles to files.</div><div class="ttdef"><b>Definition:</b> <a href="PenningTrap_8cpp_source.html#l00240">PenningTrap.cpp:240</a></div></div>
<div class="ttc" id="aclassPenningTrap_html_acbf065c9c125682329ad82a8d166554c"><div class="ttname"><a href="classPenningTrap.html#acbf065c9c125682329ad82a8d166554c">PenningTrap::external_B_field</a></div><div class="ttdeci">vec_3d external_B_field(vec_3d r)</div><div class="ttdoc">Calculate B at point r.</div><div class="ttdef"><b>Definition:</b> <a href="PenningTrap_8cpp_source.html#l00095">PenningTrap.cpp:95</a></div></div>
<div class="ttc" id="aclassPenningTrap_html_ae72d203b0bfa1b9e72bea28cb2863c56"><div class="ttname"><a href="classPenningTrap.html#ae72d203b0bfa1b9e72bea28cb2863c56">PenningTrap::total_force_external</a></div><div class="ttdeci">vec_3d total_force_external(unsigned int i)</div><div class="ttdoc">Calculate the total external force on a particle.</div><div class="ttdef"><b>Definition:</b> <a href="PenningTrap_8cpp_source.html#l00114">PenningTrap.cpp:114</a></div></div>
<div class="ttc" id="aclassPenningTrap_html_ae9b5afdaa5cd366e94bd294452a1eed4"><div class="ttname"><a href="classPenningTrap.html#ae9b5afdaa5cd366e94bd294452a1eed4">PenningTrap::k_v</a></div><div class="ttdeci">sim_arr k_v</div><div class="ttdef"><b>Definition:</b> <a href="PenningTrap_8hpp_source.html#l00037">PenningTrap.hpp:37</a></div></div>
<div class="ttc" id="aclassPenningTrap_html_af98a720da60b0e1a62aefa5f5cb37c1e"><div class="ttname"><a href="classPenningTrap.html#af98a720da60b0e1a62aefa5f5cb37c1e">PenningTrap::v_func</a></div><div class="ttdeci">vec_3d v_func(unsigned int i, unsigned int j, double dt)</div><div class="ttdoc">Helper for evolve_RK4 when calculating values.</div><div class="ttdef"><b>Definition:</b> <a href="PenningTrap_8cpp_source.html#l00046">PenningTrap.cpp:46</a></div></div>
<div class="ttc" id="aconstants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div><div class="ttdoc">Library of constants.</div></div>
<div class="ttc" id="aconstants_8hpp_html_a0acb682b8260ab1c60b918599864e2e5"><div class="ttname"><a href="constants_8hpp.html#a0acb682b8260ab1c60b918599864e2e5">T</a></div><div class="ttdeci">#define T</div><div class="ttdoc">1 Tesla. unit:</div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00017">constants.hpp:17</a></div></div>
<div class="ttc" id="aconstants_8hpp_html_af40a326b23c68a27cebe60f16634a2cb"><div class="ttname"><a href="constants_8hpp.html#af40a326b23c68a27cebe60f16634a2cb">V</a></div><div class="ttdeci">#define V</div><div class="ttdoc">1 Volt. unit:</div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00019">constants.hpp:19</a></div></div>
<div class="ttc" id="atypedefs_8hpp_html"><div class="ttname"><a href="typedefs_8hpp.html">typedefs.hpp</a></div><div class="ttdoc">Useful typedefs for cleaner code.</div></div>
<div class="ttc" id="atypedefs_8hpp_html_a9f33f4962c8fb62cc5ccd0e4e039a8df"><div class="ttname"><a href="typedefs_8hpp.html#a9f33f4962c8fb62cc5ccd0e4e039a8df">vec_3d</a></div><div class="ttdeci">arma::vec::fixed&lt; 3 &gt; vec_3d</div><div class="ttdoc">Typedef for a fixed 3d arma vector.</div><div class="ttdef"><b>Definition:</b> <a href="typedefs_8hpp_source.html#l00036">typedefs.hpp:36</a></div></div>
<div class="ttc" id="atypedefs_8hpp_html_aec69d34220fff45de238b9e01f2686af"><div class="ttname"><a href="typedefs_8hpp.html#aec69d34220fff45de238b9e01f2686af">sim_arr</a></div><div class="ttdeci">std::vector&lt; sim_cols &gt; sim_arr</div><div class="ttdoc">Typedef for the result of the simulate method.</div><div class="ttdef"><b>Definition:</b> <a href="typedefs_8hpp_source.html#l00032">typedefs.hpp:32</a></div></div>
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