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Entropy production in the majority-vote model

Leonardo Crochik and Tânia Tomé

  • Instituto de Física, Universidade de São Paulo, Caixa Postal 66318, 05315-970 São Paulo, São Paulo, Brazil

Phys. Rev. E 72, 057103 – Published 28 November, 2005

DOI: https://doi.org/10.1103/PhysRevE.72.057103

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 exhibits a singularity at the critical point whose exponent is estimated numerically.

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