Equilibrium and nonequilibrium models on solomon networks with two square lattices

摘要

We investigate the critical properties of the equilibrium and nonequilibrium two-dimensional (2D) systems on Solomon networks with both nearest and random neighbors. The equilibrium and nonequilibrium 2D systems studied here by Monte Carlo simulations are the Ising and Majority-vote 2D models, respectively. We calculate the critical points as well as the critical exponent ratios gamma/v, beta/v and 1/v We and that numerically both systems present the same exponents on Solomon networks (2D) and are of di r erent universality class than the regular 2D ferromagnetic model. Our results are in agreement with the Grinstein criterion for models with up and down symmetry on regular lattices.