Year: 2015
Type: article
Abstract: It has recently been suggested ( Radicchi F. and Arenas A. , Nat. Phys. , 9 (2013) 717) 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 at which this happens is system dependent. In this article, we show in a similar way as in ( Garrahan J. P. and Lesanovsky I. , arXiv:1406.4706) that this is a consequence of the graph Laplacian formalism used in the above-mentioned paper by Radicchi and Arenas. We calculate the evolution of 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.
Source: Europhysics Letters (EPL)
Authors: N. Bastas, F. Lazaridis, P. Argyrakis, M. Maragakis
Institution: Aristotle University of Thessaloniki
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2170638838