Analysis of the earlier times and flux of the entropy on the majority voter model with difusion

TL;DR

This paper investigates how diffusion influences entropy production and critical behavior in the nonequilibrium majority voter model, revealing effects on irreversibility and phase transition properties through simulations and critical exponent analysis.

Contribution

It introduces the analysis of diffusion effects on entropy and critical phenomena in the majority voter model, a nonequilibrium spin system lacking detailed balance.

Findings

Diffusion alters entropy production rates.

Critical exponents depend on diffusion probability.

Diffusion impacts the irreversibility and phase transition characteristics.

Abstract

We study the properties of nonequilibrium systems modelled as spin models without defined Hamiltonian as the majority voter model. This model has transition probabilities that do not satisfy the condition of detailed balance. The lack of detailed balance leads to entropy production phenomena, which are a hallmark of the irreversibility. By considering that voters can diffuse on the lattice we analyze how the entropy production and how the critical properties are affected by this diffusion. We also explore two important aspects of the diffusion effects on the majority voter model by studying entropy production and entropy flux via time-dependent and steady state simulations. This study is completed by calculating some critical exponents as function of the diffusion probability.