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Domain walls in nonequilibrium systems and the emergence of persistent patterns

Aric Hagberg and Ehud Meron

  • Arizona Center for Mathematical Sciences and Program in Applied Mathematics, University of Arizona, Tucson, Arizona 85721

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Phys. Rev. E 48, 705 – Published 1 August, 1993

DOI: https://doi.org/10.1103/PhysRevE.48.705

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 Landau’s model for second-order phase transitions.

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Phys. Rev. E 48, 705– Published 1 August, 1993
  • Received 15 March 1993

© 1993 American Physical Society

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