Zero-temperature dynamics of Ising spin systems following a deep quench: results and open problems

C.m Newman and D.l Stein

Physica A: Statistical Mechanics and its Applications, 2000, vol. 279, issue 1, 159-168

Abstract: We consider zero-temperature, stochastic Ising models σt with nearest-neighbor interactions and an initial spin configuration σ0 chosen from a symmetric Bernoulli distribution (corresponding physically to a deep quench). Whether σ∞ exists, i.e., whether each spin flips only finitely many times as t→∞ (for almost every σ0 and realization of the dynamics), or if not, whether every spin — or only a fraction strictly less than one — flips infinitely often, depends on the nature of the couplings, the dimension, and the lattice type. We review results, examine open questions, and discuss related topics.

Keywords: Stochastic Ising models; Nonequilibrium dynamics; Deep quench; Coarsening; Spin glass; Metastable states; Persistence (search for similar items in EconPapers)
Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:279:y:2000:i:1:p:159-168

DOI: 10.1016/S0378-4371(99)00511-7

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