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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"><</span><span
class="cmitt-10x-x-109">layer1</span><span
class="cmmi-10x-x-109">> <</span><span
class="cmitt-10x-x-109">layer2</span><span
class="cmmi-10x-x-109">> <</span><span
class="cmitt-10x-x-109">T</span><span
class="cmmi-10x-x-109">> <</span><span
class="cmitt-10x-x-109">J</span><span
class="cmmi-10x-x-109">> < γ > < h</span><sup><span
class="cmr-8">[1]</span></sup> <span
class="cmmi-10x-x-109">></span>
<span
class="cmmi-10x-x-109">< h</span><sup><span
class="cmr-8">[2]</span></sup> <span
class="cmmi-10x-x-109">> < p</span><sub><span
class="cmr-8">1</span></sub> <span
class="cmmi-10x-x-109">> < p</span><sub><span
class="cmr-8">2</span></sub> <span
class="cmmi-10x-x-109">> < numepochs ></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" >   <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">γ</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">“Interplay between</span>
<span
class="cmti-10x-x-109">consensus and coherence in a model of interacting opinions”</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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