Non-Markovian Persistence and Nonequilibrium Critical Dynamics

Details Non-Markovian Persistence and Nonequilibrium Critical Dynamics Non-Markovian Persistence and Nonequilibrium Critical Dynamics

1997-02-21

arxiv.org/abs/cond-mat/9702203v1

Phys. Rev. E 56 (1997) R25

Physics

Condensed Matter

Statistical Mechanics

4 pages, Revtex, no figures, requires multicol.sty

Scientific paper

10.1103/PhysRevE.56.R25

The persistence exponent \theta for the global order parameter, M(t), of a system quenched from the disordered phase to its critical point describes the probability, p(t) \sim t^{-\theta}, that M(t) does not change sign in the time interval t following the quench. We calculate \theta to O(\epsilon^2) for model A of critical dynamics (and to order \epsilon for model C) and show that at this order M(t) is a non-Markov process. Consequently, \theta is a new exponent. The calculation is performed by expanding around a Markov process, using a simplified version of the perturbation theory recently introduced by Majumdar and Sire [Phys. Rev. Lett. _77_, 1420 (1996); cond-mat/9604151].

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