Glassy time-scale divergence and anomalous coarsening in a kinetically constrained spin chain

P Sollich, MR Evans

Research output: Contribution to journalArticlepeer-review

Abstract

We analyze the out-of-equilibrium behavior of an Ising spin chain with an asymmetric kinetic constraint after a quench to a low temperature T. in the limit T --> 0, we provide an exact solution of the resulting coarsening process. The equilibration time exhibits a "glassy" divergence t(eq) = exp(const/T-2) (popular as an alternative to the Vogel-Fulcher law), while the average domain length grows with a temperature-dependent exponent, (d) over bar similar to t(T ln2). We show that the equilibration time t(eq) also sets the time scale for the linear response of the system at low temperatures.

Original languageEnglish
Pages (from-to)3238-3241
Number of pages4
JournalPhysical Review Letters
Volume83
Issue number16
Publication statusPublished - 18 Oct 1999

Keywords

  • MODEL
  • DYNAMICS
  • SYSTEMS
  • TRANSITION
  • RELAXATION

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