Breakdown of Scaling in the Nonequilibrium Critical Dynamics of the Two-Dimensional XY Model

1999/02/26 by A. J. Bray, A. J. Briant, D. K. Jervis · 1 citation
Physics and Astronomy · #cond-mat.stat-mech

paper · pdf · doi:10.1103/physrevlett.84.1503

published as Phys. Rev. Lett. 84, 1503 (2000) · 4 pages, 3 figures

arxiv created 1999/02/26 · arxiv updated 2009/11/30

Abstract

The approach to equilibrium, from a nonequilibrium initial state, in a system at its critical point is usually described by a scaling theory with a single growing length scale, ξ(t) ∼ t^1/z, where z is the dynamic exponent that governs the equilibrium dynamics. We show that, for the 2D XY model, the rate of approach to equilibrium depends on the initial condition. In particular, ξ(t) ∼ t^1/2 if no free vortices are present in the initial state, while ξ(t) ∼ (t/ln t)^1/2 if free vortices are present.

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