Modelo de Ising na rede A-SWN sob influência de um campo oscilante no tempo

Abstract

In this work, Monte Carlo simulations were performed to investigate the thermodynamic quantities and critical behavior of the Ising model on a Two-Dimensional Additive Small World Network (A-SWN 2D) under the influence of a time-dependent oscillating field. The study involved the computation of thermodynamic quantities, such as the dynamic order parameter and magnetic susceptibility, as well as the reduced fourth-order Binder cumulant, which determines the critical point and characterizes the system’s phase tran sition. The research focused on analyzing the universal aspects of the dynamic phase transition, employing finite-size scaling techniques that are commonly applied to the study of equilibrium critical phenomena. The results demonstrated that the critical exponents are consistent with the universality class of the mean-field equilibrium approximation. We have observed that for sufficiently small systems, the continuous (second-order) dynamic phase transition is replaced by a transition to stochastic resonance. In the thermodynamic limit, the stochastic resonance regime vanishes. The dimensionless control parameter, analogous to temperature in the system, represents the dynamic competition between two characteristic timescales: the half-period of the external field, t1/2, and the mean lifetime ⟨τ⟩, defined as the average first-passage time to zero magnetization.