Fluctuation dissipation ratio in the one dimensional kinetic Ising model

Details Fluctuation dissipation ratio in the one dimensional kinetic Ising model Fluctuation dissipation ratio in the one dimensional kinetic Ising model

2000-01-10

arxiv.org/abs/cond-mat/0001103v1

Physics

Condensed Matter

Statistical Mechanics

2 figures

Scientific paper

10.1103/PhysRevE.61.3369

The exact relation between the response function $R(t,t^{\prime})$ and the two time correlation function $C(t,t^{\prime})$ is derived analytically in the one dimensional kinetic Ising model subjected to a temperature quench. The fluctuation dissipation ratio $X(t,t^{\prime})$ is found to depend on time through $C(t,t^{\prime})$ in the time region where scaling $C(t,t^{\prime}) = f(t/t^{\prime})$ holds. The crossover from the nontrivial form $X(C(t,t^{\prime}))$ to $X(t,t^{\prime}) \equiv 1$ takes place as the waiting time $t_w$ is increased from below to above the equilibration time $t_{eq}$.

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