Entropy production in the majority-vote model

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.

Kinetic Continuous Opinion Dynamics Model on Two Types of Archimedean Lattices

“…On two-dimensional lattices it shows critical phenomena with critical exponents ν, β, and γ , as for [8][9][10]] the equilibrium Ising model [11,12], in agree with a hypothesis of Grinstein et al [13].…”

Entropy Production in Nonequilibrium Systems at Stationary States

“…an expression that has been considered by several authors [10][11][12][13][14][15][16][17][18][19][20][21][22] and has a close relationship with the fluctuation theorems of Gallavotti and Cohen [23] and with the Jarzynski equality [24,25]. It is nonnegative because each term in the summation is of the form ðx À yÞ lnðx=yÞ and vanishes in equilibrium, that is, when microscopic reversibility or detailed balance condition is obeyed.…”

Entropy production for asymmetric diffusion of particles

“…an expression that has been considered by several authors [5,6,7,8,9,10,11,12,13,14,15,16,17]. From the time derivative of entropy,…”

“…The expression analogous to (4) has also been obtained for systems described by a Fokker-Planck equation [18]. The calculation of the production of entropy of lattice models has been done in several models; in some cases, by the use of numerical simulations [7,14,16,17]. In this paper we consider a system of particles moving along a one-dimensional lattice with periodic boundary conditions.…”