Slow dynamics in critical ferromagnetic vector models relaxing from a magnetized initial state
Abstract
Within the universality class of ferromagnetic vector models with O(n) symmetry and purely dissipative dynamics, we study the non-equilibrium critical relaxation from a magnetized initial state. Transverse correlation and response functions are exactly computed for Gaussian fluctuations and in the limit of infinite number n of components of the order parameter. We find that the fluctuation-dissipation ratios (FDRs) for longitudinal and transverse modes differ already at the Gaussian level. In these two exactly solvable cases we completely describe the crossover from the short-time to the long-time behavior, corresponding to a disordered and a magnetized initial condition, respectively. The effects of non-Gaussian fluctuations on longitudinal and transverse quantities are calculated in the first order in the epsilon-expansion and reliable three-dimensional estimates of the two FDRs are obtained.
Cite
@article{arxiv.cond-mat/0610266,
title = {Slow dynamics in critical ferromagnetic vector models relaxing from a magnetized initial state},
author = {Pasquale Calabrese and Andrea Gambassi},
journal= {arXiv preprint arXiv:cond-mat/0610266},
year = {2011}
}
Comments
41 pages, 9 figures