Static and dynamic behavior of multiplex networks under interlink strength variation

Bastas, N.; Lazaridis, F.; Argyrakis, P.; Maragakis, M.
It has recently been suggested $\backslash$cite{\{}Radicchi2013{\}} that in a two-level multiplex network, a gradual change in the value of the "interlayer" strength {\$}p{\$} can provoke an abrupt structural transition. The critical point {\$}p{\^{}}*{\$} at which this happens is system-dependent. In this article, we show in a similar way as in $\backslash$cite{\{}Garrahan2014{\}} that this is a consequence of the graph Laplacian formalism used in $\backslash$cite{\{}Radicchi2013{\}}. We calculate the evolution of {\$}p{\^{}}{\{}*{\}}{\$} as a function of system size for ER and RR networks. We investigate the behavior of structural measures and dynamical processes of a two-level system as a function of {\$}p{\$}, by Monte-Carlo simulations, for simple particle diffusion and for reaction-diffusion systems. We find that as {\$}p{\$} increases there is a smooth transition from two separate networks to a single one. We cannot find any abrupt change in static or dynamic behavior of the underlying system.
Research areas:
Year:
2015
Type of Publication:
Article
Journal:
EPL (Europhysics Letters)
Volume:
109
Number:
3
Pages:
38006
ISSN:
0295-5075
DOI:
10.1209/0295-5075/109/38006
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