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+<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"
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+<head><title>3.1.0.0 multiplex_ising</title>
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+<meta name="date" content="2015-10-19 16:26:00">
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+>
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+ <h5 class="subsubsectionHead"><a
+ id="x63-620003.1"></a><span
+class="cmtt-10x-x-109">multiplex</span><span
+class="cmtt-10x-x-109">_ising</span></h5>
+<!--l. 7--><p class="noindent" ><span
+class="cmbx-10x-x-109">NAME</span>
+<!--l. 7--><p class="indent" > <span
+class="cmbx-10x-x-109">multiplex</span><span
+class="cmbx-10x-x-109">_ising </span>- compute the coupled ising model in a multiplex with 2
+layers.
+<!--l. 7--><p class="noindent" ><span
+class="cmbx-10x-x-109">SYNOPSYS</span>
+<!--l. 7--><p class="indent" > <span
+class="cmbx-10x-x-109">multiplex</span><span
+class="cmbx-10x-x-109">_ising </span><span
+class="cmmi-10x-x-109">&#x003C;</span><span
+class="cmitt-10x-x-109">layer1</span><span
+class="cmmi-10x-x-109">&#x003E; &#x003C;</span><span
+class="cmitt-10x-x-109">layer2</span><span
+class="cmmi-10x-x-109">&#x003E; &#x003C;</span><span
+class="cmitt-10x-x-109">T</span><span
+class="cmmi-10x-x-109">&#x003E; &#x003C;</span><span
+class="cmitt-10x-x-109">J</span><span
+class="cmmi-10x-x-109">&#x003E; &#x003C; &gamma; &#x003E; &#x003C; h</span><sup><span
+class="cmr-8">[1]</span></sup> <span
+class="cmmi-10x-x-109">&#x003E;</span>
+<span
+class="cmmi-10x-x-109">&#x003C; h</span><sup><span
+class="cmr-8">[2]</span></sup> <span
+class="cmmi-10x-x-109">&#x003E; &#x003C; p</span><sub><span
+class="cmr-8">1</span></sub> <span
+class="cmmi-10x-x-109">&#x003E; &#x003C; p</span><sub><span
+class="cmr-8">2</span></sub> <span
+class="cmmi-10x-x-109">&#x003E; &#x003C; numepochs &#x003E;</span>
+<!--l. 18--><p class="noindent" ><span
+class="cmbx-10x-x-109">DESCRIPTION</span>
+<!--l. 18--><p class="indent" > Compute and print the output of the ising dynamics on two coupled layers of
+a multiplex network. Files <span
+class="cmti-10x-x-109">layer1</span>, <span
+class="cmti-10x-x-109">layer2</span>, contain the (undirected) edge list of the
+two layer, and each line is in the format:
+<!--l. 18--><p class="indent" > &#x00A0; <span
+class="cmti-10x-x-109">src</span><span
+class="cmti-10x-x-109">_ID dest</span><span
+class="cmti-10x-x-109">_ID</span>
+<!--l. 18--><p class="indent" > where <span
+class="cmti-10x-x-109">src</span><span
+class="cmti-10x-x-109">_ID </span>and <span
+class="cmti-10x-x-109">dest</span><span
+class="cmti-10x-x-109">_ID </span>are the IDs of the two endpoints of an
+edge.
+<!--l. 18--><p class="indent" > <span
+class="cmmi-10x-x-109">T </span>is the value of thermal noise in the system, <span
+class="cmmi-10x-x-109">J </span>the value of peer pressure, <span
+class="cmmi-10x-x-109">&gamma;</span>
+the relative ratio between internal coupling and peer pressure, <span
+class="cmmi-10x-x-109">h</span><sup><span
+class="cmr-8">[1]</span></sup> and <span
+class="cmmi-10x-x-109">h</span><sup><span
+class="cmr-8">[2]</span></sup> the
+external fields acting on the two layers, <span
+class="cmmi-10x-x-109">p</span><sub><span
+class="cmr-8">1</span></sub> the probability for a spin on layer 1 at
+<span
+class="cmmi-10x-x-109">t </span>= 0 to be up, <span
+class="cmmi-10x-x-109">p</span><sub><span
+class="cmr-8">2</span></sub> the same probability for spins on layer 2, <span
+class="cmmi-10x-x-109">numepochs </span>the
+
+
+
+number of epochs for the simulation.
+<!--l. 20--><p class="noindent" ><span
+class="cmbx-10x-x-109">OUTPUT</span>
+<!--l. 20--><p class="indent" > One line, reporting all controlling parameter, the value of consensus in
+layer 1 <span
+class="cmmi-10x-x-109">m</span><sup><span
+class="cmr-8">[1]</span></sup>, the value of consensus in layer 2 <span
+class="cmmi-10x-x-109">m</span><sup><span
+class="cmr-8">[2]</span></sup> and the coherence
+<span
+class="cmmi-10x-x-109">C</span>.
+<!--l. 22--><p class="noindent" ><span
+class="cmbx-10x-x-109">REFERENCE</span>
+<!--l. 22--><p class="indent" > F. Battiston, A. Cairoli, V. Nicosia, A. Baule, V. Latora, <span
+class="cmti-10x-x-109">&#8220;Interplay between</span>
+<span
+class="cmti-10x-x-109">consensus and coherence in a model of interacting opinions&#8221;</span>, accepted for
+publication in Physica D, arxiv:1506.04544 (2015).
+<!--l. 22--><p class="indent" > Link to paper: <a
+href="http://arxiv.org/abs/1506.04544" class="url" ><span
+class="cmtt-10x-x-109">http://arxiv.org/abs/1506.04544</span></a>
+
+
+
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