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<div id="projectbrief">Simulate particle behavior inside a Penning Trap</div>
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<a href="PenningTrap_8cpp.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="l00016" name="l00016"></a><span class="lineno"> 16</span><span class="preprocessor">#include &quot;<a class="code" href="utils_8hpp.html">utils.hpp</a>&quot;</span></div>
<div class="line"><a id="l00017" name="l00017"></a><span class="lineno"> 17</span><span class="preprocessor">#include &quot;<a class="code" href="PenningTrap_8hpp.html">PenningTrap.hpp</a>&quot;</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="constants_8hpp.html">constants.hpp</a>&quot;</span></div>
<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</span><span class="preprocessor">#include &lt;algorithm&gt;</span></div>
<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span><span class="preprocessor">#include &lt;stdexcept&gt;</span></div>
<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span><span class="preprocessor">#include &lt;omp.h&gt;</span></div>
<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span> </div>
<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</span><span class="preprocessor">#pragma omp declare reduction( + : arma::vec : omp_out += omp_in ) \</span></div>
<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span><span class="preprocessor"> initializer( omp_priv = omp_orig )</span></div>
<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"> 25</span> </div>
<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"><a class="line" href="classPenningTrap.html#a81add5063bd5f29d77f0b5c299c6c560"> 26</a></span><a class="code hl_function" href="classPenningTrap.html#a81add5063bd5f29d77f0b5c299c6c560">PenningTrap::PenningTrap</a>(<span class="keywordtype">double</span> B_0, <span class="keywordtype">double</span> V_0, <span class="keywordtype">double</span> d)</div>
<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span>{</div>
<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span> this-&gt;B_0 = <a class="code hl_variable" href="classPenningTrap.html#a0cac3509aa96e71a26d3b2c902e27716">B_0</a>;</div>
<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span> this-&gt;V_0 = <a class="code hl_variable" href="classPenningTrap.html#a715329844d75ec4c04f8391421fb4e89">V_0</a>;</div>
<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span> this-&gt;d = <a class="code hl_variable" href="classPenningTrap.html#a66dfe89c68716b9502927b97f59c27d2">d</a>;</div>
<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span>}</div>
<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span> </div>
<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"><a class="line" href="classPenningTrap.html#a6e9776ff5b149f01080800716455d7c8"> 33</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="classPenningTrap.html#a6e9776ff5b149f01080800716455d7c8">PenningTrap::add_particle</a>(<a class="code hl_class" href="classParticle.html">Particle</a> particle)</div>
<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span>{</div>
<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span> this-&gt;<a class="code hl_variable" href="classPenningTrap.html#a0112525d9e79a472e761f8ef402a339f">particles</a>.push_back(particle);</div>
<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span>}</div>
<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span> </div>
<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"><a class="line" href="classPenningTrap.html#a978a2e2026a4b5308d5184712f81704b"> 38</a></span>arma::vec <a class="code hl_function" href="classPenningTrap.html#a978a2e2026a4b5308d5184712f81704b">PenningTrap::external_E_field</a>(arma::vec r)</div>
<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span>{</div>
<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span> arma::vec::fixed&lt;3&gt; res;</div>
<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span> <span class="keywordtype">double</span> f = this-&gt;<a class="code hl_variable" href="classPenningTrap.html#a715329844d75ec4c04f8391421fb4e89">V_0</a>/(this-&gt;<a class="code hl_variable" href="classPenningTrap.html#a66dfe89c68716b9502927b97f59c27d2">d</a>*this-&gt;<a class="code hl_variable" href="classPenningTrap.html#a66dfe89c68716b9502927b97f59c27d2">d</a>);</div>
<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span> res(0) = r(0);</div>
<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span> res(1) = r(1);</div>
<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span> res(2) = -2.*r(2);</div>
<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span> </div>
<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span> <span class="keywordflow">return</span> f*res;</div>
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span>}</div>
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span> </div>
<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"><a class="line" href="classPenningTrap.html#a2a3e7f480ba52e9f24d4c50c3981a784"> 49</a></span>arma::vec <a class="code hl_function" href="classPenningTrap.html#a2a3e7f480ba52e9f24d4c50c3981a784">PenningTrap::external_B_field</a>(arma::vec r)</div>
<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span>{</div>
<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span> arma::vec::fixed&lt;3&gt; res;</div>
<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span> res(0) = 0.;</div>
<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span> res(1) = 0.;</div>
<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span> res(2) = this-&gt;<a class="code hl_variable" href="classPenningTrap.html#a0cac3509aa96e71a26d3b2c902e27716">B_0</a>;</div>
<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span> </div>
<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> <span class="keywordflow">return</span> res;</div>
<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span>}</div>
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> </div>
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"><a class="line" href="classPenningTrap.html#a4790f41e4fbc6ede4991aa7bbda92182"> 59</a></span>arma::vec <a class="code hl_function" href="classPenningTrap.html#a4790f41e4fbc6ede4991aa7bbda92182">PenningTrap::force_on_particle</a>(<span class="keywordtype">int</span> i, <span class="keywordtype">int</span> j)</div>
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span>{</div>
<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> <span class="comment">// Calculate the difference between the particles&#39; position</span></div>
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> arma::vec::fixed&lt;3&gt; res = this-&gt;<a class="code hl_variable" href="classPenningTrap.html#a0112525d9e79a472e761f8ef402a339f">particles</a>.at(i).r_vec </div>
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> - this-&gt;<a class="code hl_variable" href="classPenningTrap.html#a0112525d9e79a472e761f8ef402a339f">particles</a>.at(j).r_vec;</div>
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> </div>
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> <span class="comment">// Get the distance between the particles</span></div>
<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> <span class="keywordtype">double</span> norm = arma::norm(res);</div>
<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span> </div>
<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span> <span class="comment">// Multiply res with p_j&#39;s charge divided by the norm cubed</span></div>
<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span> res *= this-&gt;<a class="code hl_variable" href="classPenningTrap.html#a0112525d9e79a472e761f8ef402a339f">particles</a>.at(j).q/(norm*norm*norm);</div>
<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span> </div>
<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span> <span class="keywordflow">return</span> res;</div>
<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span>}</div>
<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span> </div>
<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"><a class="line" href="classPenningTrap.html#a045adb85e97a8e0c38fb36d2fd74eeee"> 74</a></span>arma::vec <a class="code hl_function" href="classPenningTrap.html#a045adb85e97a8e0c38fb36d2fd74eeee">PenningTrap::total_force_external</a>(<span class="keywordtype">int</span> i)</div>
<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span>{</div>
<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> <a class="code hl_class" href="classParticle.html">Particle</a> p = this-&gt;<a class="code hl_variable" href="classPenningTrap.html#a0112525d9e79a472e761f8ef402a339f">particles</a>.at(i);</div>
<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span> </div>
<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span> arma::vec::fixed&lt;3&gt; v_cross_B;</div>
<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span> </div>
<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> arma::vec::fixed&lt;3&gt; B = this-&gt;<a class="code hl_function" href="classPenningTrap.html#a2a3e7f480ba52e9f24d4c50c3981a784">external_B_field</a>(p.<a class="code hl_variable" href="classParticle.html#acf1a0f3c978b06d76df5bb4279594467">r_vec</a>);</div>
<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span> </div>
<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span> v_cross_B(0) = p.<a class="code hl_variable" href="classParticle.html#a4a5d22c7aeca66f67d083f270cba25df">v_vec</a>(1)*B(2) - p.<a class="code hl_variable" href="classParticle.html#a4a5d22c7aeca66f67d083f270cba25df">v_vec</a>(2)*B(1);</div>
<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> v_cross_B(1) = p.<a class="code hl_variable" href="classParticle.html#a4a5d22c7aeca66f67d083f270cba25df">v_vec</a>(2)*B(0) - p.<a class="code hl_variable" href="classParticle.html#a4a5d22c7aeca66f67d083f270cba25df">v_vec</a>(0)*B(2);</div>
<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> v_cross_B(2) = p.<a class="code hl_variable" href="classParticle.html#a4a5d22c7aeca66f67d083f270cba25df">v_vec</a>(0)*B(1) - p.<a class="code hl_variable" href="classParticle.html#a4a5d22c7aeca66f67d083f270cba25df">v_vec</a>(1)*B(0);</div>
<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span> </div>
<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span> arma::vec force = p.<a class="code hl_variable" href="classParticle.html#a566dcc1de4bdc01251776948798ea8e1">q</a></div>
<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span> *(this-&gt;<a class="code hl_function" href="classPenningTrap.html#a978a2e2026a4b5308d5184712f81704b">external_E_field</a>(p.<a class="code hl_variable" href="classParticle.html#acf1a0f3c978b06d76df5bb4279594467">r_vec</a>) + v_cross_B);</div>
<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span> </div>
<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span> <span class="keywordflow">return</span> force;</div>
<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span>}</div>
<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span> </div>
<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"><a class="line" href="classPenningTrap.html#a135db7d991d9b88b00fde4edee71f78d"> 92</a></span>arma::vec <a class="code hl_function" href="classPenningTrap.html#a135db7d991d9b88b00fde4edee71f78d">PenningTrap::total_force_particles</a>(<span class="keywordtype">int</span> i)</div>
<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span>{</div>
<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span> <a class="code hl_class" href="classParticle.html">Particle</a> p = this-&gt;<a class="code hl_variable" href="classPenningTrap.html#a0112525d9e79a472e761f8ef402a339f">particles</a>.at(i);</div>
<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> </div>
<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span> arma::vec res(3);</div>
<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span> </div>
<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j=0; j &lt; this-&gt;<a class="code hl_variable" href="classPenningTrap.html#a0112525d9e79a472e761f8ef402a339f">particles</a>.size(); j++) {</div>
<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span> <span class="keywordflow">if</span> (i == j) {</div>
<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span> <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span> }</div>
<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span> </div>
<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span> res += this-&gt;<a class="code hl_function" href="classPenningTrap.html#a4790f41e4fbc6ede4991aa7bbda92182">force_on_particle</a>(i, j);</div>
<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span> }</div>
<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span> </div>
<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span> res *= <a class="code hl_define" href="constants_8hpp.html#a4e451456ad7e9276ed0afa42826e7ccb">K_E</a>*(p.<a class="code hl_variable" href="classParticle.html#a566dcc1de4bdc01251776948798ea8e1">q</a>/p.<a class="code hl_variable" href="classParticle.html#aedcc7e1bc53b0e2b1a4a07c9a1b47563">m</a>);</div>
<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span> </div>
<div class="line"><a id="l00108" name="l00108"></a><span class="lineno"> 108</span> <span class="keywordflow">return</span> res;</div>
<div class="line"><a id="l00109" name="l00109"></a><span class="lineno"> 109</span>}</div>
<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"> 110</span> </div>
<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"><a class="line" href="classPenningTrap.html#a83cc7a04dae009ed8e75453c38fdf8be"> 111</a></span>arma::vec <a class="code hl_function" href="classPenningTrap.html#a83cc7a04dae009ed8e75453c38fdf8be">PenningTrap::total_force</a>(<span class="keywordtype">int</span> i)</div>
<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span>{</div>
<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span> <span class="keywordflow">return</span> this-&gt;<a class="code hl_function" href="classPenningTrap.html#a045adb85e97a8e0c38fb36d2fd74eeee">total_force_external</a>(i) - this-&gt;<a class="code hl_function" href="classPenningTrap.html#a135db7d991d9b88b00fde4edee71f78d">total_force_particles</a>(i);</div>
<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span>}</div>
<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</span> </div>
<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"><a class="line" href="classPenningTrap.html#ab891b839c40eeb38d8a2a636c70090a9"> 116</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="classPenningTrap.html#ab891b839c40eeb38d8a2a636c70090a9">PenningTrap::evolve_RK4</a>(<span class="keywordtype">double</span> dt)</div>
<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span>{</div>
<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span> </div>
<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span>}</div>
<div class="line"><a id="l00120" name="l00120"></a><span class="lineno"> 120</span> </div>
<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"><a class="line" href="classPenningTrap.html#a56544b6f4befb42984e9650cf2a40965"> 121</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="classPenningTrap.html#a56544b6f4befb42984e9650cf2a40965">PenningTrap::evolve_forward_euler</a>(<span class="keywordtype">double</span> dt)</div>
<div class="line"><a id="l00122" name="l00122"></a><span class="lineno"> 122</span>{</div>
<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"> 123</span> std::vector&lt;Particle&gt; new_state = this-&gt;<a class="code hl_variable" href="classPenningTrap.html#a0112525d9e79a472e761f8ef402a339f">particles</a>;</div>
<div class="line"><a id="l00124" name="l00124"></a><span class="lineno"> 124</span> </div>
<div class="line"><a id="l00125" name="l00125"></a><span class="lineno"> 125</span> <a class="code hl_class" href="classParticle.html">Particle</a> *p;</div>
<div class="line"><a id="l00126" name="l00126"></a><span class="lineno"> 126</span> </div>
<div class="line"><a id="l00127" name="l00127"></a><span class="lineno"> 127</span><span class="preprocessor"> #pragma omp parallel for private(p)</span></div>
<div class="line"><a id="l00128" name="l00128"></a><span class="lineno"> 128</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i=0; i &lt; this-&gt;<a class="code hl_variable" href="classPenningTrap.html#a0112525d9e79a472e761f8ef402a339f">particles</a>.size(); i++) {</div>
<div class="line"><a id="l00129" name="l00129"></a><span class="lineno"> 129</span> p = &amp;new_state.at(i);</div>
<div class="line"><a id="l00130" name="l00130"></a><span class="lineno"> 130</span> p-&gt;<a class="code hl_variable" href="classParticle.html#a4a5d22c7aeca66f67d083f270cba25df">v_vec</a> += dt*this-&gt;<a class="code hl_function" href="classPenningTrap.html#a83cc7a04dae009ed8e75453c38fdf8be">total_force</a>(i)/new_state.at(i).m;</div>
<div class="line"><a id="l00131" name="l00131"></a><span class="lineno"> 131</span> p-&gt;<a class="code hl_variable" href="classParticle.html#acf1a0f3c978b06d76df5bb4279594467">r_vec</a> += dt*this-&gt;<a class="code hl_variable" href="classPenningTrap.html#a0112525d9e79a472e761f8ef402a339f">particles</a>.at(i).v_vec;</div>
<div class="line"><a id="l00132" name="l00132"></a><span class="lineno"> 132</span> }</div>
<div class="line"><a id="l00133" name="l00133"></a><span class="lineno"> 133</span> </div>
<div class="line"><a id="l00134" name="l00134"></a><span class="lineno"> 134</span> this-&gt;<a class="code hl_variable" href="classPenningTrap.html#a0112525d9e79a472e761f8ef402a339f">particles</a> = new_state;</div>
<div class="line"><a id="l00135" name="l00135"></a><span class="lineno"> 135</span>}</div>
<div class="line"><a id="l00136" name="l00136"></a><span class="lineno"> 136</span> </div>
<div class="line"><a id="l00137" name="l00137"></a><span class="lineno"> 137</span>arma::vec PenningTrap::get_particle(<span class="keywordtype">int</span> i)</div>
<div class="line"><a id="l00138" name="l00138"></a><span class="lineno"> 138</span>{</div>
<div class="line"><a id="l00139" name="l00139"></a><span class="lineno"> 139</span> <span class="keywordflow">return</span> this-&gt;<a class="code hl_variable" href="classPenningTrap.html#a0112525d9e79a472e761f8ef402a339f">particles</a>.at(i).r_vec;</div>
<div class="line"><a id="l00140" name="l00140"></a><span class="lineno"> 140</span>}</div>
<div class="line"><a id="l00141" name="l00141"></a><span class="lineno"> 141</span> </div>
<div class="line"><a id="l00142" name="l00142"></a><span class="lineno"> 142</span><span class="keywordtype">double</span> PenningTrap::get_d()</div>
<div class="line"><a id="l00143" name="l00143"></a><span class="lineno"> 143</span>{</div>
<div class="line"><a id="l00144" name="l00144"></a><span class="lineno"> 144</span> <span class="keywordflow">return</span> this-&gt;<a class="code hl_variable" href="classPenningTrap.html#a66dfe89c68716b9502927b97f59c27d2">d</a>;</div>
<div class="line"><a id="l00145" name="l00145"></a><span class="lineno"> 145</span>}</div>
<div class="ttc" id="aPenningTrap_8hpp_html"><div class="ttname"><a href="PenningTrap_8hpp.html">PenningTrap.hpp</a></div><div class="ttdoc">A class for simulating a Penning trap.</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#l00019">Particle.hpp:19</a></div></div>
<div class="ttc" id="aclassParticle_html_a4a5d22c7aeca66f67d083f270cba25df"><div class="ttname"><a href="classParticle.html#a4a5d22c7aeca66f67d083f270cba25df">Particle::v_vec</a></div><div class="ttdeci">arma::vec::fixed&lt; 3 &gt; v_vec</div><div class="ttdoc">velocity</div><div class="ttdef"><b>Definition:</b> <a href="Particle_8hpp_source.html#l00024">Particle.hpp:24</a></div></div>
<div class="ttc" id="aclassParticle_html_a566dcc1de4bdc01251776948798ea8e1"><div class="ttname"><a href="classParticle.html#a566dcc1de4bdc01251776948798ea8e1">Particle::q</a></div><div class="ttdeci">double q</div><div class="ttdoc">Charge.</div><div class="ttdef"><b>Definition:</b> <a href="Particle_8hpp_source.html#l00021">Particle.hpp:21</a></div></div>
<div class="ttc" id="aclassParticle_html_acf1a0f3c978b06d76df5bb4279594467"><div class="ttname"><a href="classParticle.html#acf1a0f3c978b06d76df5bb4279594467">Particle::r_vec</a></div><div class="ttdeci">arma::vec::fixed&lt; 3 &gt; r_vec</div><div class="ttdoc">position</div><div class="ttdef"><b>Definition:</b> <a href="Particle_8hpp_source.html#l00023">Particle.hpp:23</a></div></div>
<div class="ttc" id="aclassParticle_html_aedcc7e1bc53b0e2b1a4a07c9a1b47563"><div class="ttname"><a href="classParticle.html#aedcc7e1bc53b0e2b1a4a07c9a1b47563">Particle::m</a></div><div class="ttdeci">double m</div><div class="ttdoc">Mass.</div><div class="ttdef"><b>Definition:</b> <a href="Particle_8hpp_source.html#l00022">Particle.hpp:22</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#l00030">PenningTrap.hpp:30</a></div></div>
<div class="ttc" id="aclassPenningTrap_html_a045adb85e97a8e0c38fb36d2fd74eeee"><div class="ttname"><a href="classPenningTrap.html#a045adb85e97a8e0c38fb36d2fd74eeee">PenningTrap::total_force_external</a></div><div class="ttdeci">arma::vec total_force_external(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#l00074">PenningTrap.cpp:74</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#l00027">PenningTrap.hpp:27</a></div></div>
<div class="ttc" id="aclassPenningTrap_html_a135db7d991d9b88b00fde4edee71f78d"><div class="ttname"><a href="classPenningTrap.html#a135db7d991d9b88b00fde4edee71f78d">PenningTrap::total_force_particles</a></div><div class="ttdeci">arma::vec total_force_particles(int i)</div><div class="ttdoc">Calculate the total force on a particle from other particles.</div><div class="ttdef"><b>Definition:</b> <a href="PenningTrap_8cpp_source.html#l00092">PenningTrap.cpp:92</a></div></div>
<div class="ttc" id="aclassPenningTrap_html_a2a3e7f480ba52e9f24d4c50c3981a784"><div class="ttname"><a href="classPenningTrap.html#a2a3e7f480ba52e9f24d4c50c3981a784">PenningTrap::external_B_field</a></div><div class="ttdeci">arma::vec external_B_field(arma::vec r)</div><div class="ttdoc">Calculate B at point r.</div><div class="ttdef"><b>Definition:</b> <a href="PenningTrap_8cpp_source.html#l00049">PenningTrap.cpp:49</a></div></div>
<div class="ttc" id="aclassPenningTrap_html_a4790f41e4fbc6ede4991aa7bbda92182"><div class="ttname"><a href="classPenningTrap.html#a4790f41e4fbc6ede4991aa7bbda92182">PenningTrap::force_on_particle</a></div><div class="ttdeci">arma::vec force_on_particle(int i, 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#l00059">PenningTrap.cpp:59</a></div></div>
<div class="ttc" id="aclassPenningTrap_html_a56544b6f4befb42984e9650cf2a40965"><div class="ttname"><a href="classPenningTrap.html#a56544b6f4befb42984e9650cf2a40965">PenningTrap::evolve_forward_euler</a></div><div class="ttdeci">void evolve_forward_euler(double dt)</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#l00121">PenningTrap.cpp:121</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#l00029">PenningTrap.hpp:29</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#l00033">PenningTrap.cpp:33</a></div></div>
<div class="ttc" id="aclassPenningTrap_html_a715329844d75ec4c04f8391421fb4e89"><div class="ttname"><a href="classPenningTrap.html#a715329844d75ec4c04f8391421fb4e89">PenningTrap::V_0</a></div><div class="ttdeci">double V_0</div><div class="ttdoc">Applied potential.</div><div class="ttdef"><b>Definition:</b> <a href="PenningTrap_8hpp_source.html#l00028">PenningTrap.hpp:28</a></div></div>
<div class="ttc" id="aclassPenningTrap_html_a81add5063bd5f29d77f0b5c299c6c560"><div class="ttname"><a href="classPenningTrap.html#a81add5063bd5f29d77f0b5c299c6c560">PenningTrap::PenningTrap</a></div><div class="ttdeci">PenningTrap(double B_0=T, double V_0=25.*V/1000., double d=500.)</div><div class="ttdoc">Set B_0, V_0 and d.</div><div class="ttdef"><b>Definition:</b> <a href="PenningTrap_8cpp_source.html#l00026">PenningTrap.cpp:26</a></div></div>
<div class="ttc" id="aclassPenningTrap_html_a83cc7a04dae009ed8e75453c38fdf8be"><div class="ttname"><a href="classPenningTrap.html#a83cc7a04dae009ed8e75453c38fdf8be">PenningTrap::total_force</a></div><div class="ttdeci">arma::vec total_force(int i)</div><div class="ttdoc">calculate the total force on a particle.</div><div class="ttdef"><b>Definition:</b> <a href="PenningTrap_8cpp_source.html#l00111">PenningTrap.cpp:111</a></div></div>
<div class="ttc" id="aclassPenningTrap_html_a978a2e2026a4b5308d5184712f81704b"><div class="ttname"><a href="classPenningTrap.html#a978a2e2026a4b5308d5184712f81704b">PenningTrap::external_E_field</a></div><div class="ttdeci">arma::vec external_E_field(arma::vec r)</div><div class="ttdoc">Calculate E at point r.</div><div class="ttdef"><b>Definition:</b> <a href="PenningTrap_8cpp_source.html#l00038">PenningTrap.cpp:38</a></div></div>
<div class="ttc" id="aclassPenningTrap_html_ab891b839c40eeb38d8a2a636c70090a9"><div class="ttname"><a href="classPenningTrap.html#ab891b839c40eeb38d8a2a636c70090a9">PenningTrap::evolve_RK4</a></div><div class="ttdeci">void evolve_RK4(double dt)</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#l00116">PenningTrap.cpp:116</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_a4e451456ad7e9276ed0afa42826e7ccb"><div class="ttname"><a href="constants_8hpp.html#a4e451456ad7e9276ed0afa42826e7ccb">K_E</a></div><div class="ttdeci">#define K_E</div><div class="ttdoc">Coulomb constant. unit: .</div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00015">constants.hpp:15</a></div></div>
<div class="ttc" id="autils_8hpp_html"><div class="ttname"><a href="utils_8hpp.html">utils.hpp</a></div><div class="ttdoc">Function prototypes and macros that are useful.</div></div>
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