Dynamics at a smeared phase transition

Details Dynamics at a smeared phase transition Dynamics at a smeared phase transition

2004-09-27

arxiv.org/abs/cond-mat/0409688v2

J. Phys. A: Math. Gen. 38 (2005) 2349-2358

Physics

Condensed Matter

Statistical Mechanics

10 pages, 8eps figures included, final version as published

Scientific paper

10.1088/0305-4470/38/11/003

We investigate the effects of rare regions on the dynamics of Ising magnets with planar defects, i.e., disorder perfectly correlated in two dimensions. In these systems, the magnetic phase transition is smeared because static long-range order can develop on isolated rare regions. We first study an infinite-range model by numerically solving local dynamic mean-field equations. Then we use extremal statistics and scaling arguments to discuss the dynamics beyond mean-field theory. In the tail region of the smeared transition the dynamics is even slower than in a conventional Griffiths phase: the spin autocorrelation function decays like a stretched exponential at intermediate times before approaching the exponentially small equilibrium value following a power law at late times.

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