Entropy production in the majority-vote model

TL;DR

This paper investigates entropy production in the nonequilibrium majority-vote model, revealing a critical singularity at phase transition similar to equilibrium Ising model properties, using mean-field and Monte Carlo methods.

Contribution

It demonstrates that entropy production in the majority-vote model exhibits a critical singularity at the phase transition, linking nonequilibrium entropy behavior to equilibrium universality classes.

Findings

Entropy production diverges at the critical point.

Entropy production shows a singularity similar to the Ising model.

The model's critical behavior aligns with the Ising universality class.

Abstract

We analyzed the entropy production in the majority-vote model by using a mean-field approximation and Monte Carlo simulations. The dynamical rules of the model do not obey detailed balance so that entropy is continuously being produced. This nonequilibrium stochastic model is known to have a critical behavior belonging to the universality class of the equilibrium Ising model. We show that the entropy production also exhibits a singularity at the critical point similar to the one occurring in the entropy, or the energy, of the equilibrium Ising model.