Critical aging of Ising ferromagnets relaxing from an ordered state
Abstract
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.
Keywords
Cite
@article{arxiv.cond-mat/0604412,
title = {Critical aging of Ising ferromagnets relaxing from an ordered state},
author = {Pasquale Calabrese and Andrea Gambassi and Florent Krzakala},
journal= {arXiv preprint arXiv:cond-mat/0604412},
year = {2011}
}
Comments
36 pages, 7 figures