Phase ordering in the Ising model with conserved spin

J. F. Marko*, G. T. Barkema

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

48 Scopus citations

Abstract

We have studied conserved-order-parameter domain growth following a quench from T= to T<Tc at critical concentration in the two- and three-dimensional Ising model, using a type of magnetization-conserving spin-exchange dynamics which suppresses diffusion along interfaces. Domain sizes grow in proportion to the 1/3 power of time after the quench over a wide range of annealing temperatures. The effective diffusion constant associated with the growth law is thermally activated, leading to a long lag time ∼exp(const/T) before the onset of power-law growth. During this lag period, transient phenomena associated with activated barrier crossings are observed. We also study dynamic scaling of the structure factor and two-time correlations in the asymptotic growth regime: many of these results differ from those obtained from continuous-field theories of phase separation such as model B.

Original languageEnglish (US)
Pages (from-to)2522-2534
Number of pages13
JournalPhysical Review E
Volume52
Issue number3
DOIs
StatePublished - Jan 1 1995

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Physics and Astronomy(all)

Fingerprint Dive into the research topics of 'Phase ordering in the Ising model with conserved spin'. Together they form a unique fingerprint.

Cite this