Domain walls in nonequilibrium systems and the emergence of persistent patterns

Aric Hagberg, Ehud Meron

Research output: Contribution to journalArticlepeer-review

46 Scopus citations

Abstract

Domain walls in equilibrium phase transitions propagate in a preferred direction so as to minimize the free energy of the system. As a result, initial spatiotemporal patterns ultimately decay toward uniform states. The absence of a variational principle far from equilibrium allows the coexistence of domain walls propagating in any direction. As a consequence, persistent patterns may emerge. We study this mechanism of pattern formation using a nonvariational extension of Landaus model for second-order phase transitions.

Original languageEnglish
Pages (from-to)705-708
Number of pages4
JournalPhysical Review E
Volume48
Issue number2
DOIs
StatePublished - 1 Jan 1993
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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