Slow dynamics in critical ferromagnetic vector models relaxing from a magnetized initial state

Details Slow dynamics in critical ferromagnetic vector models relaxing from a magnetized initial state Slow dynamics in critical ferromagnetic vector models relaxing from a magnetized initial state

2006-10-10

arxiv.org/abs/cond-mat/0610266v1

J.Stat.Mech.0701:P01001,2007

Physics

Condensed Matter

Statistical Mechanics

41 pages, 9 figures

Scientific paper

10.1088/1742-5468/2007/01/P01001

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.

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