Scaling functions for systems with finite range of interaction

Abstract

We present a numerical determination of the scaling functions of the magnetization, the suscep- tibility, and the Binders cumulant, for two nonequilibrium model systems with varying range of interactions. We consider Monte Carlo simulations of the block voter model (BVM) on square lat- tices and of the majority-vote model (MVM) on random graphs. In both cases, the satisfactory data collapse obtained for several system sizes and interaction ranges, supports the hypothesis that these functions are universal. Our analysis yields an accurate estimation of the long-range exponents, which govern the decay of the critical amplitudes with the range of interaction, and is consistent with the assumption that the static exponents are Ising-like for the BVM and classical for the MVM.

6 pages and six figures

References in corpus (6)

• Critical phenomena in complex networks
• Finite-size scaling in complex networks
• Majority-vote model on directed Erdos-Renyi random graphs
• Routes to thermodynamic limit on scale-free networks
• Inflow versus outflow zero-temperature dynamics in one dimension
• Contact process with long-range interactions: a study in the ensemble of constant particle number

Cited by in corpus (4)

• Majority-vote model on spatially embedded networks: crossover from mean-field to Ising universality classes
• Characterizing the intrinsic correlations of scale-free networks
• Short-time Monte Carlo simulation of the majority-vote model on cubic lattices
• Crossover from mean-field to $2d$ Directed Percolation in the contact process