Blocking and persistence in the zero-temperature dynamics of homogeneous and disordered Ising models

Charles Newman, D. L. Stein

Research output: Contribution to journalArticle

Abstract

A "persistence" exponent θ has been extensively used to describe the nonequilibrium dynamics of spin systems following a deep quench: For zero-temperature homogeneous Ising models on the d-dimensional cubic lattice Zd, the fraction p(t) of spins not flipped by time t decays to zero like t-θ(d) for low d; for high d, p(t) may decay to p(∞) > 0, because of "blocking" (but perhaps still like a power). What are the effects of disorder or changes of the lattice? We show that these can quite generally lead to blocking (and convergence to a metastable configuration) even for low d, and then present two examples - one disordered and one homogeneous - where p(t) decays exponentially to p(∞).

Original languageEnglish (US)
Pages (from-to)3944-3947
Number of pages4
JournalPhysical Review Letters
Volume82
Issue number20
StatePublished - May 17 1999

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Ising model
decay
cubic lattices
temperature
exponents
disorders
configurations

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  • Physics and Astronomy(all)

Cite this

Blocking and persistence in the zero-temperature dynamics of homogeneous and disordered Ising models. / Newman, Charles; Stein, D. L.

In: Physical Review Letters, Vol. 82, No. 20, 17.05.1999, p. 3944-3947.

Research output: Contribution to journalArticle

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