Phase Segregation Dynamics In Particle Systems with Long Range Interactions II: Interface motion

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dc.creatorGiacomin, G.
dc.creatorLebowitz, J. L.
dc.date1997-04-29
dc.date.accessioned2026-07-07T09:16:04Z
dc.date.available2026-07-07T09:16:04Z
dc.descriptionWe study properties of the solutions of a family of second order integro-differential equations, which describe the large scale dynamics of a class of microscopic phase segregation models with particle conserving dynamics. We first establish existence and uniqueness as well as some properties of the instantonic solutions. Then we concentrate on formal asymptotic (sharp interface) limits. We argue that the obtained interface evolution laws (a Stefan-like problem and the Mullins-Sekerka solidification model) coincide with the ones which can be obtained in the analogous limits from the Cahn-Hilliard equation, the fourth order PDE which is the standard macroscopic model for phase segregation with one conservation law.
dc.descriptionamstex with macros for numbering the formulas, tex twice, 24 pages
dc.identifierhttps://arxiv.org/abs/patt-sol/9705001
dc.identifierhttp://arxiv.org/abs/patt-sol/9705001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/153230
dc.subjectPattern Formation and Solitons
dc.titlePhase Segregation Dynamics In Particle Systems with Long Range Interactions II: Interface motion
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