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Cite Details

Aric Hagberg and Ehud Meron, "Domain walls in nonequilibrium systems and the emergence of persistent patterns", Phys. Rev. E, vol. 48, pp. 705--708, 1993

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 spatio-temporal 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 non-variational extension of Landau's model for second order phase transitions.

BibTeX Entry

@article{hagberg-1993-domain,
author = {Aric Hagberg and Ehud Meron},
title = {Domain walls in nonequilibrium systems and the emergence of persistent patterns},
year = {1993},
urlpdf = {http://math.lanl.gov/~hagberg/Papers/domain/domainr.pdf},
journal = {Phys. Rev. E},
volume = {48},
pages = {705--708}
}