diff options
Diffstat (limited to 'doc/latex/latex/dynamics/Ising/multiplex_ising.tex')
| -rw-r--r-- | doc/latex/latex/dynamics/Ising/multiplex_ising.tex | 22 |
1 files changed, 22 insertions, 0 deletions
diff --git a/doc/latex/latex/dynamics/Ising/multiplex_ising.tex b/doc/latex/latex/dynamics/Ising/multiplex_ising.tex new file mode 100644 index 0000000..ec87454 --- /dev/null +++ b/doc/latex/latex/dynamics/Ising/multiplex_ising.tex @@ -0,0 +1,22 @@ +%%% +%%% Layer activity +%%% + +\myprogram{{multiplex\_ising}} + {compute the coupled ising model in a multiplex with $2$ layers.} + {$<$layer1$>$ $<$layer2$>$ $<$T$>$ $<$J$>$ $<\gamma>$ $<h^{[1]}>$ $<h^{[2]}>$ $<p_1>$ $<p_2>$ $<num epochs>$} + +\mydescription{Compute and print the output of the ising dynamics on two coupled layers of a multiplex network. + Files \textit{layer1}, \textit{layer2}, contain the (undirected) edge list of the two layer, and each + line is in the format: + + \hspace{0.5cm}\textit{src\_ID} \textit{dest\_ID} + + where \textit{src\_ID} and \textit{dest\_ID} are the IDs of the two + endpoints of an edge. + + $T$ is the value of thermal noise in the system, $J$ the value of peer pressure, $\gamma$ the relative ratio between internal coupling and peer pressure, $h^{[1]}$ and $h^{[2]}$ the external fields acting on the two layers, $p_1$ the probability for a spin on layer $1$ at $t=0$ to be up, $p_2$ the same probability for spins on layer $2$, $num epochs$ the number of epochs for the simulation.} + +\myreturn{One line, reporting all controlling parameter, the value of consensus in layer $1$ $m^{[1]}$, the value of consensus in layer $2$ $m^{[2]}$ and the coherence $C$.} + +\myreference{\refising} |