https://doi.org/10.1140/epjb/e2013-40534-0
Regular Article
Critical behavior of the contact process on small-world networks
Departamento de Física, Universidade Federal de
Viçosa, 36570-000
Viçosa, Minas Gerais,
Brazil
a
e-mail: ronan.ferreira@gmail.com
Received: 29 May 2013
Received in final form: 16 August 2013
Published online: 7 November 2013
We investigate the role of clustering on the critical behavior of the contact process (CP) on small-world networks using the Watts-Strogatz (WS) network model with an edge rewiring probability p. The critical point is well predicted by a homogeneous cluster-approximation for the limit of vanishing clustering (p → 1). The critical exponents and dimensionless moment ratios of the CP are in agreement with those predicted by the mean-field theory for any p > 0. This independence on the network clustering shows that the small-world property is a sufficient condition for the mean-field theory to correctly predict the universality of the model. Moreover, we compare the CP dynamics on WS networks with rewiring probability p = 1 and random regular networks and show that the weak heterogeneity of the WS network slightly changes the critical point but does not alter other critical quantities of the model.
Key words: Statistical and Nonlinear Physics
© EDP Sciences, Società Italiana di Fisica and Springer-Verlag, 2013
