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<div id="projectbrief">Simulate the change in energy and magnetization in a ferro magnet</div>
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<a href="#pub-methods">Public Member Functions</a> |
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<p>The Ising model in 2 dimensions.
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<a href="classIsingModel.html#details">More...</a></p>
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<p><code>#include <<a class="el" href="IsingModel_8hpp_source.html">IsingModel.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:a4a39ee7fbfbbf566f75bc28900ca9ea5"><td class="memItemLeft" align="right" valign="top"> </td><td class="memItemRight" valign="bottom"><a class="el" href="classIsingModel.html#a4a39ee7fbfbbf566f75bc28900ca9ea5">IsingModel</a> (int <a class="el" href="classIsingModel.html#a2b8ac43baefeb386186266d5aa4de348">L</a>, double <a class="el" href="classIsingModel.html#a20fc4c0c99d8a119f70a1614784d4e5c">T</a>)</td></tr>
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<tr class="memdesc:a4a39ee7fbfbbf566f75bc28900ca9ea5"><td class="mdescLeft"> </td><td class="mdescRight">Constructor for the Ising model. <br /></td></tr>
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<tr class="separator:a4a39ee7fbfbbf566f75bc28900ca9ea5"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a46c9446e94854452f715d307c77c1c15"><td class="memItemLeft" align="right" valign="top"> </td><td class="memItemRight" valign="bottom"><a class="el" href="classIsingModel.html#a46c9446e94854452f715d307c77c1c15">IsingModel</a> (int <a class="el" href="classIsingModel.html#a2b8ac43baefeb386186266d5aa4de348">L</a>, double <a class="el" href="classIsingModel.html#a20fc4c0c99d8a119f70a1614784d4e5c">T</a>, int val)</td></tr>
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<tr class="memdesc:a46c9446e94854452f715d307c77c1c15"><td class="mdescLeft"> </td><td class="mdescRight">Constructor for the Ising model. <br /></td></tr>
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<tr class="separator:a46c9446e94854452f715d307c77c1c15"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a56559d68dc9aaff1976d84b157f43488"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classdata__t.html">data_t</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="classIsingModel.html#a56559d68dc9aaff1976d84b157f43488">Metropolis</a> ()</td></tr>
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<tr class="memdesc:a56559d68dc9aaff1976d84b157f43488"><td class="mdescLeft"> </td><td class="mdescRight">The Metropolis algorithm. <br /></td></tr>
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<tr class="separator:a56559d68dc9aaff1976d84b157f43488"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:aaa0787d964b004a17869811a5e947ff5"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="classIsingModel.html#aaa0787d964b004a17869811a5e947ff5">get_E</a> ()</td></tr>
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<tr class="memdesc:aaa0787d964b004a17869811a5e947ff5"><td class="mdescLeft"> </td><td class="mdescRight">Get the current energy. <br /></td></tr>
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<tr class="separator:aaa0787d964b004a17869811a5e947ff5"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:aa5701496e6483bc4668c486d6d3af625"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="classIsingModel.html#aa5701496e6483bc4668c486d6d3af625">get_M</a> ()</td></tr>
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<tr class="memdesc:aa5701496e6483bc4668c486d6d3af625"><td class="mdescLeft"> </td><td class="mdescRight">Get the current magnetization. <br /></td></tr>
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<tr class="separator:aa5701496e6483bc4668c486d6d3af625"><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:a34a4710949b4a70f3e37ca223aefcf8a"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="classIsingModel.html#a34a4710949b4a70f3e37ca223aefcf8a">initialize_lattice</a> ()</td></tr>
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<tr class="memdesc:a34a4710949b4a70f3e37ca223aefcf8a"><td class="mdescLeft"> </td><td class="mdescRight">Initialize the lattice with a random distribution of 1s and -1s. <br /></td></tr>
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<tr class="separator:a34a4710949b4a70f3e37ca223aefcf8a"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a6776109105051597c275670dabd0054a"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="classIsingModel.html#a6776109105051597c275670dabd0054a">initialize_neighbors</a> ()</td></tr>
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<tr class="memdesc:a6776109105051597c275670dabd0054a"><td class="mdescLeft"> </td><td class="mdescRight">initialize the neighbors matrix. <br /></td></tr>
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<tr class="separator:a6776109105051597c275670dabd0054a"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:aff9a1201933fd5408845a1447e4895b4"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="classIsingModel.html#aff9a1201933fd5408845a1447e4895b4">initialize_energy_diff</a> ()</td></tr>
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<tr class="memdesc:aff9a1201933fd5408845a1447e4895b4"><td class="mdescLeft"> </td><td class="mdescRight">Initialize the hashmap with the correct values. <br /></td></tr>
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<tr class="separator:aff9a1201933fd5408845a1447e4895b4"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a926cf4964d190d2ce23e5a17201787a4"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="classIsingModel.html#a926cf4964d190d2ce23e5a17201787a4">initialize_magnetization</a> ()</td></tr>
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<tr class="memdesc:a926cf4964d190d2ce23e5a17201787a4"><td class="mdescLeft"> </td><td class="mdescRight">Initialize the magnetization. <br /></td></tr>
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<tr class="separator:a926cf4964d190d2ce23e5a17201787a4"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a59fced38c695e2fa647f53be81b9d2a1"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="classIsingModel.html#a59fced38c695e2fa647f53be81b9d2a1">initialize_energy</a> ()</td></tr>
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<tr class="memdesc:a59fced38c695e2fa647f53be81b9d2a1"><td class="mdescLeft"> </td><td class="mdescRight">Initialize the energy. <br /></td></tr>
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<tr class="separator:a59fced38c695e2fa647f53be81b9d2a1"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:acf281f6f5ed02911ca6ab07004449864"><td class="memItemLeft" align="right" valign="top"> </td><td class="memItemRight" valign="bottom"><a class="el" href="classIsingModel.html#acf281f6f5ed02911ca6ab07004449864">IsingModel</a> ()</td></tr>
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<tr class="memdesc:acf281f6f5ed02911ca6ab07004449864"><td class="mdescLeft"> </td><td class="mdescRight">Constructor used for testing. <br /></td></tr>
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<tr class="separator:acf281f6f5ed02911ca6ab07004449864"><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:a2c3c76c79717c968d7c227c58b46df41"><td class="memItemLeft" align="right" valign="top">arma::Mat< int > </td><td class="memItemRight" valign="bottom"><a class="el" href="classIsingModel.html#a2c3c76c79717c968d7c227c58b46df41">lattice</a></td></tr>
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<tr class="memdesc:a2c3c76c79717c968d7c227c58b46df41"><td class="mdescLeft"> </td><td class="mdescRight">\( L \times L \) matrix where element \( x \in {-1, 1}\). <br /></td></tr>
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<tr class="separator:a2c3c76c79717c968d7c227c58b46df41"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a94093aaf30facca62737f2ac381fdbcd"><td class="memItemLeft" align="right" valign="top">arma::Mat< int > </td><td class="memItemRight" valign="bottom"><a class="el" href="classIsingModel.html#a94093aaf30facca62737f2ac381fdbcd">neighbors</a></td></tr>
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<tr class="memdesc:a94093aaf30facca62737f2ac381fdbcd"><td class="mdescLeft"> </td><td class="mdescRight">\( L \times 2 \) matrix with the neighbors of each element \( x_i \). <br /></td></tr>
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<tr class="separator:a94093aaf30facca62737f2ac381fdbcd"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a1a4ceb1bb2593dbd20c51ed04100cbcd"><td class="memItemLeft" align="right" valign="top">std::unordered_map< int, double > </td><td class="memItemRight" valign="bottom"><a class="el" href="classIsingModel.html#a1a4ceb1bb2593dbd20c51ed04100cbcd">energy_diff</a></td></tr>
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<tr class="memdesc:a1a4ceb1bb2593dbd20c51ed04100cbcd"><td class="mdescLeft"> </td><td class="mdescRight">A hash map containing all possible energy changes. <br /></td></tr>
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<tr class="separator:a1a4ceb1bb2593dbd20c51ed04100cbcd"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a20fc4c0c99d8a119f70a1614784d4e5c"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="classIsingModel.html#a20fc4c0c99d8a119f70a1614784d4e5c">T</a></td></tr>
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<tr class="memdesc:a20fc4c0c99d8a119f70a1614784d4e5c"><td class="mdescLeft"> </td><td class="mdescRight">The temperature of the model. <br /></td></tr>
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<tr class="separator:a20fc4c0c99d8a119f70a1614784d4e5c"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a2b8ac43baefeb386186266d5aa4de348"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="classIsingModel.html#a2b8ac43baefeb386186266d5aa4de348">L</a></td></tr>
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<tr class="memdesc:a2b8ac43baefeb386186266d5aa4de348"><td class="mdescLeft"> </td><td class="mdescRight">Size of the lattice. <br /></td></tr>
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<tr class="separator:a2b8ac43baefeb386186266d5aa4de348"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ae9f872ca2054992161d53306119979dd"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="classIsingModel.html#ae9f872ca2054992161d53306119979dd">E</a></td></tr>
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<tr class="memdesc:ae9f872ca2054992161d53306119979dd"><td class="mdescLeft"> </td><td class="mdescRight">The current energy state. unit: \( J \). <br /></td></tr>
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<tr class="separator:ae9f872ca2054992161d53306119979dd"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a0d373a61baca6b0faa607bb12d82cc47"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="classIsingModel.html#a0d373a61baca6b0faa607bb12d82cc47">M</a></td></tr>
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<tr class="memdesc:a0d373a61baca6b0faa607bb12d82cc47"><td class="mdescLeft"> </td><td class="mdescRight">The current magnetic strength. unit: Unitless. <br /></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:a2b1cf104e0bda1fce78ed366e1ec7287"><td class="memItemLeft" align="right" valign="top">class </td><td class="memItemRight" valign="bottom"><a class="el" href="classIsingModel.html#a2b1cf104e0bda1fce78ed366e1ec7287">IsingModelTest</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>The Ising model in 2 dimensions. </p>
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<p>None of the methods are parallelized, as there is very little benefit in doing so. </p>
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<p class="definition">Definition at line <a class="el" href="IsingModel_8hpp_source.html#l00037">37</a> of file <a class="el" href="IsingModel_8hpp_source.html">IsingModel.hpp</a>.</p>
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</div><h2 class="groupheader">Constructor & Destructor Documentation</h2>
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<a id="acf281f6f5ed02911ca6ab07004449864" name="acf281f6f5ed02911ca6ab07004449864"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#acf281f6f5ed02911ca6ab07004449864">◆ </a></span>IsingModel() <span class="overload">[1/3]</span></h2>
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<td class="memname">IsingModel::IsingModel </td>
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<td>(</td>
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<td class="paramname"></td><td>)</td>
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<span class="mlabels"><span class="mlabel">private</span></span> </td>
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<p>Constructor used for testing. </p>
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<p class="definition">Definition at line <a class="el" href="IsingModel_8cpp_source.html#l00017">17</a> of file <a class="el" href="IsingModel_8cpp_source.html">IsingModel.cpp</a>.</p>
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<a id="a4a39ee7fbfbbf566f75bc28900ca9ea5" name="a4a39ee7fbfbbf566f75bc28900ca9ea5"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#a4a39ee7fbfbbf566f75bc28900ca9ea5">◆ </a></span>IsingModel() <span class="overload">[2/3]</span></h2>
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<td class="memname">IsingModel::IsingModel </td>
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<p>Constructor for the Ising model. </p>
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<p class="definition">Definition at line <a class="el" href="IsingModel_8cpp_source.html#l00021">21</a> of file <a class="el" href="IsingModel_8cpp_source.html">IsingModel.cpp</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a46c9446e94854452f715d307c77c1c15">◆ </a></span>IsingModel() <span class="overload">[3/3]</span></h2>
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<p>Constructor for the Ising model. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<p class="definition">Definition at line <a class="el" href="IsingModel_8cpp_source.html#l00032">32</a> of file <a class="el" href="IsingModel_8cpp_source.html">IsingModel.cpp</a>.</p>
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<h2 class="groupheader">Member Function Documentation</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#aaa0787d964b004a17869811a5e947ff5">◆ </a></span>get_E()</h2>
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<p>Get the current energy. </p>
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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="IsingModel_8cpp_source.html#l00135">135</a> of file <a class="el" href="IsingModel_8cpp_source.html">IsingModel.cpp</a>.</p>
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<p>Get the current magnetization. </p>
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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="IsingModel_8cpp_source.html#l00140">140</a> of file <a class="el" href="IsingModel_8cpp_source.html">IsingModel.cpp</a>.</p>
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<p>Initialize the energy. </p>
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<p class="definition">Definition at line <a class="el" href="IsingModel_8cpp_source.html#l00082">82</a> of file <a class="el" href="IsingModel_8cpp_source.html">IsingModel.cpp</a>.</p>
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<p>Initialize the hashmap with the correct values. </p>
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<p class="definition">Definition at line <a class="el" href="IsingModel_8cpp_source.html#l00067">67</a> of file <a class="el" href="IsingModel_8cpp_source.html">IsingModel.cpp</a>.</p>
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<p>Initialize the lattice with a random distribution of 1s and -1s. </p>
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<p class="definition">Definition at line <a class="el" href="IsingModel_8cpp_source.html#l00044">44</a> of file <a class="el" href="IsingModel_8cpp_source.html">IsingModel.cpp</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a926cf4964d190d2ce23e5a17201787a4">◆ </a></span>initialize_magnetization()</h2>
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<p>Initialize the magnetization. </p>
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<p class="definition">Definition at line <a class="el" href="IsingModel_8cpp_source.html#l00074">74</a> of file <a class="el" href="IsingModel_8cpp_source.html">IsingModel.cpp</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a6776109105051597c275670dabd0054a">◆ </a></span>initialize_neighbors()</h2>
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<p>initialize the neighbors matrix. </p>
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<p class="definition">Definition at line <a class="el" href="IsingModel_8cpp_source.html#l00056">56</a> of file <a class="el" href="IsingModel_8cpp_source.html">IsingModel.cpp</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a56559d68dc9aaff1976d84b157f43488">◆ </a></span>Metropolis()</h2>
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<p>The Metropolis algorithm. </p>
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<p class="definition">Definition at line <a class="el" href="IsingModel_8cpp_source.html#l00096">96</a> of file <a class="el" href="IsingModel_8cpp_source.html">IsingModel.cpp</a>.</p>
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<h2 class="groupheader">Friends And Related Function Documentation</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#a2b1cf104e0bda1fce78ed366e1ec7287">◆ </a></span>IsingModelTest</h2>
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<p class="definition">Definition at line <a class="el" href="IsingModel_8hpp_source.html#l00039">39</a> of file <a class="el" href="IsingModel_8hpp_source.html">IsingModel.hpp</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="#ae9f872ca2054992161d53306119979dd">◆ </a></span>E</h2>
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<p>The current energy state. unit: \( J \). </p>
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<p class="definition">Definition at line <a class="el" href="IsingModel_8hpp_source.html#l00068">68</a> of file <a class="el" href="IsingModel_8hpp_source.html">IsingModel.hpp</a>.</p>
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<p>A hash map containing all possible energy changes. </p>
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<p class="definition">Definition at line <a class="el" href="IsingModel_8hpp_source.html#l00056">56</a> of file <a class="el" href="IsingModel_8hpp_source.html">IsingModel.hpp</a>.</p>
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<p>Size of the lattice. </p>
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<p>\( L \times L \) matrix where element \( x \in {-1, 1}\). </p>
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<p class="definition">Definition at line <a class="el" href="IsingModel_8hpp_source.html#l00042">42</a> of file <a class="el" href="IsingModel_8hpp_source.html">IsingModel.hpp</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a0d373a61baca6b0faa607bb12d82cc47">◆ </a></span>M</h2>
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<td class="memname">int IsingModel::M</td>
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<p>The current magnetic strength. unit: Unitless. </p>
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<p class="definition">Definition at line <a class="el" href="IsingModel_8hpp_source.html#l00072">72</a> of file <a class="el" href="IsingModel_8hpp_source.html">IsingModel.hpp</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a94093aaf30facca62737f2ac381fdbcd">◆ </a></span>neighbors</h2>
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<td class="memname">arma::Mat<int> IsingModel::neighbors</td>
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<p>\( L \times 2 \) matrix with the neighbors of each element \( x_i \). </p>
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<p>The reason why it's \( L \times 2 \) instead of \( L \times 2 \), is that we can see that we can use the same column for the left and upper neighbor, and we can use the same column for the right and lower neighbor. </p>
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<p class="definition">Definition at line <a class="el" href="IsingModel_8hpp_source.html#l00052">52</a> of file <a class="el" href="IsingModel_8hpp_source.html">IsingModel.hpp</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a20fc4c0c99d8a119f70a1614784d4e5c">◆ </a></span>T</h2>
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<td class="memname">double IsingModel::T</td>
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<p>The temperature of the model. </p>
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<p class="definition">Definition at line <a class="el" href="IsingModel_8hpp_source.html#l00060">60</a> of file <a class="el" href="IsingModel_8hpp_source.html">IsingModel.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="IsingModel_8hpp_source.html">IsingModel.hpp</a></li>
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