Eur. Phys. J. B (2012) 85: 27
https://doi.org/10.1140/epjb/e2011-20428-y

Regular Article

A brief study on coevolution of Ising dynamics

¹ Centre for Applied Mathematics and Computational Science, Saha Institute of Nuclear Physics, 1/AF Bidhannagar, 700064 Kolkata, India
² Theoretical Condensed Matter Physics Division, Saha Institute of Nuclear Physics, 1/AF Bidhannagar, 700064 Kolkata, India

^a e-mail: anjanphys@gmail.com

Received: 5 June 2011
Received in final form: 27 September 2011
Published online: 18 January 2012

Abstract

We consider coevolution of site state and network structures from different initial substrates: a one dimensional Ising chain, a scale free network and network with non-linear degree dependence. The dynamics is governed by a preassigned stability parameter S, and a rewiring factor φ, that determines whether the Ising spin at the chosen site flips or whether the site gets rewired to another site in the system. We have observed the steady state average stability and magnetisation for both kinds of systems to have an idea about the effect of initial network topology. Although the average stability shows almost similar behaviour, the magnetisation depends on the initial condition we start from. Apart from the local dynamics, the global effect on the dynamics has also been studied. These studies show interesting variations in the steady state values of average stability and magnetisation for different values of S and φ, which helps in indicating the gradual change of existing social networks.