dorsal/arxiv
View SchemaDomain Walls in Non-Equilibrium Systems and the Emergence of Persistent Patterns
| Authors | Aric Hagberg, Ehud Meron |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9304002 |
| URL | https://arxiv.org/abs/patt-sol/9304002 |
| DOI | 10.1103/PhysRevE.48.705 |
| Journal | Phys. Rev. E 48, 705 (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. PACS numbers: 05.70.Fh, 42.65.Pc, 47.20.Ky, 82.20Mj
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"abstract": "Domain walls in equilibrium phase transitions propagate in a preferred\ndirection so as to minimize the free energy of the system. As a result, initial\nspatio-temporal patterns ultimately decay toward uniform states. The absence of\na variational principle far from equilibrium allows the coexistence of domain\nwalls propagating in any direction. As a consequence, *persistent* patterns may\nemerge. We study this mechanism of pattern formation using a non-variational\nextension of Landau\u0027s model for second order phase transitions. PACS numbers:\n05.70.Fh, 42.65.Pc, 47.20.Ky, 82.20Mj",
"arxiv_id": "patt-sol/9304002",
"authors": [
"Aric Hagberg",
"Ehud Meron"
],
"categories": [
"patt-sol",
"nlin.PS"
],
"doi": "10.1103/PhysRevE.48.705",
"journal_ref": "Phys. Rev. E 48, 705 (1993)",
"title": "Domain Walls in Non-Equilibrium Systems and the Emergence of Persistent Patterns",
"url": "https://arxiv.org/abs/patt-sol/9304002"
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