Eur. Phys. J. B 69, 81-86 (2009)
https://doi.org/10.1140/epjb/e2009-00082-x

Structural stochastic multiresonance in the Ising model on scale-free networks

Faculty of Physics, Warsaw University of Technology, Koszykowa 75, 00-662 Warsaw, Poland

Corresponding author: ^a akraw@if.pw.edu.pl

Received: 26 November 2008
Revised: 4 February 2009
Published online: 6 March 2009

Abstract

Stochastic resonance is investigated in the Ising model with ferromagnetic coupling on scale-free networks with various scaling exponents γ > 2 of the degree distributions p(k)∝k^-γ, subjected to a weak oscillating magnetic field. The cases of networks constructed using the Configuration Model algorithm, with fully developed power-law tails of the degree distribution, and the Uncorrelated Configuration Model algorithm, with arbitrary constraint on the maximum connectivity of nodes, are considered. In the former case, for 2 < γ < 3 stochastic multiresonance is observed in the Monte Carlo simulations of the system, with the spectral power amplification exhibiting two or three maxima as a function of the temperature. Otherwise, the spectral power amplification has one maximum as a function of temperature and stochastic multiresonance does not occur. These results are in qualitative agreement with predictions of the linear response theory in the mean-field approximation, and quantitative differences between numerical and theoretical results can be mainly attributed to the disassortative character of the networks constructed using the Configuration Model algorithm.