Zero-temperature dynamics of Ising spin systems following a deep quench

Results and open problems

Charles Newman, D. L. Stein

Research output: Contribution to journalArticle

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.

Original languageEnglish (US)
Pages (from-to)159-168
Number of pages10
JournalPhysica A: Statistical Mechanics and its Applications
Volume279
Issue number1
DOIs
StatePublished - May 1 2000

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Spin Systems
Ising
Open Problems
Flip
Zero
Stochastic Ising Model
Bernoulli
Ising model
temperature
Nearest Neighbor
Strictly
Configuration
configurations
Interaction
interactions

ASJC Scopus subject areas

  • Mathematical Physics
  • Statistical and Nonlinear Physics

Cite this

Zero-temperature dynamics of Ising spin systems following a deep quench : Results and open problems. / Newman, Charles; Stein, D. L.

In: Physica A: Statistical Mechanics and its Applications, Vol. 279, No. 1, 01.05.2000, p. 159-168.

Research output: Contribution to journalArticle

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