Existence of long-range order in the steady state of a two-dimensional, two-temperature XY model

Kevin E. Bassler, Zoltán Rácz

Research output: Contribution to journalArticle

18 Citations (Scopus)


Monte Carlo simulations are used to show that the steady state of the d=2, two-temperature, diffusive XY model displays a continuous phase transition from a homogeneous disordered phase to a phase with long-range order. The long-range order exists although both the dynamics and the interactions are local, thus indicating the failure of a naive extension of the Mermin-Wagner theorem to nonequilibrium steady states. It is argued that the ordering is due to effective dipole interactions generated by the nonequilibrium dynamics.

Original languageEnglish
Pages (from-to)R9-R12
JournalPhysical Review E
Issue number1
Publication statusPublished - Jan 1 1995


ASJC Scopus subject areas

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

Cite this