Aging and fluctuation-dissipation ratio in a nonequilibrium $q$-state lattice model

Details Aging and fluctuation-dissipation ratio in a nonequilibrium $q$-state lattice model Aging and fluctuation-dissipation ratio in a nonequilibrium $q$-state lattice model

2010-02-09

arxiv.org/abs/1002.1842v2

Phys. Rev. E 82, 011133 (2010)

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1103/PhysRevE.82.011133

A generalized version of the nonequilibrium linear Glauber model with $q$ states in $d$ dimensions is introduced and analyzed. The model is fully symmetric, its dynamics being invariant under all permutations of the $q$ states. Exact expressions for the two-time autocorrelation and response functions on a $d$-dimensional lattice are obtained. In the stationary regime, the fluctuation-dissipation theorem holds, while in the transient the aging is observed with the fluctuation-dissipation ratio leading to the value predicted for the linear Glauber model.

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