Critical aging of Ising ferromagnets relaxing from an ordered state

Details Critical aging of Ising ferromagnets relaxing from an ordered state Critical aging of Ising ferromagnets relaxing from an ordered state

2006-04-18

arxiv.org/abs/cond-mat/0604412v1

J.Stat.Mech.0606:P06016,2006

Physics

Condensed Matter

Statistical Mechanics

36 pages, 7 figures

Scientific paper

10.1088/1742-5468/2006/06/P06016

We investigate the nonequilibrium behavior of the d-dimensional Ising model with purely dissipative dynamics during its critical relaxation from a magnetized initial configuration. The universal scaling forms of the two-time response and correlation functions of the magnetization are derived within the field-theoretical approach and the associated scaling functions and fluctuation-dissipation ratio are computed up to first order in the epsilon-expansion. Aging behavior is clearly displayed during the critical relaxation. These results are confirmed by Monte Carlo simulations of the two-dimensional Ising model with Glauber dynamics. The crossover to the case of relaxation from a disordered state is discussed and the crossover function for the fluctuation-dissipation ratio is computed within the Gaussian approximation.

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