Metastability for a stochastic dynamics with a parallel heat bath updating rule

Details Metastability for a stochastic dynamics with a parallel heat bath updating rule Metastability for a stochastic dynamics with a parallel heat bath updating rule

2009-07-10

arxiv.org/abs/0907.1796v1

Journal of Statistical Physics 110, 183-217, 2003

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

We consider the problem of metastability for a stochastic dynamics with a parallel updating rule with single spin rates equal to those of the heat bath for the Ising nearest neighbors interaction. We study the exit from the metastable phase, we describe the typical exit path and evaluate the exit time. We prove that the phenomenology of metastability is different from the one observed in the case of the serial implementation of the heat bath dynamics. In particular we prove that an intermediate chessboard phase appears during the excursion from the minus metastable phase toward the plus stable phase.

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