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Title: Dynamical scaling and decay of correlations for spinodal decomposition at [ital T][sub [ital c]]

Journal Article · · Physical Review, B: Condensed Matter; (United States)
 [1];  [2];  [3]
  1. Center for Nonlinear Studies, Los Alamos National Laboratory MS-B258, Los Alamos, New Mexico 87545 (United States)
  2. AT T Bell Laboratories, Murray Hill, New Jersey 07974 (United States)
  3. Department of Mathematics, Rutgers University, New Brunswick, New Jersey 08903 (United States)

We have investigated the nonequilibrium critical dynamics of a two-dimensional, spin-exchange (i.e., conserved magnetization), kinetic Ising model following quenches to [ital T][sub [ital c]] from random initial states. As in the case of subcritical quenches, we observe dynamical scaling of the equal time order parameter correlation function [ital G]([ital r],[ital t],[ital t]), but here the nonequilibrium correlation length grows as [ital L]([ital t])[similar to][ital t][sup 1/[ital z]], where [ital z]=4/15 is the usual dynamic critical exponent for this system. Moreover, we find dynamical scaling for correlations with the initial condition [ital G]([ital r],0,[ital t]). The temporal decay of autocorrelations at [ital T][sub [ital c]] yields a critical exponent [lambda][sub [ital c]]=1.96[plus minus]0.05 for the nonequilibrium dynamics: [ital G]([ital r],0,[ital t])[approx][ital L][sup [minus][lambda]][sub [ital c]]([ital t])[ital [tilde G]]([ital r]/[ital L]([ital t])).

OSTI ID:
7295881
Journal Information:
Physical Review, B: Condensed Matter; (United States), Vol. 50:2; ISSN 0163-1829
Country of Publication:
United States
Language:
English