ISSN:
1572-9613
Keywords:
Ginzburg-Landau models A and B
;
spin-flip models
;
lattice gases
;
interfacial dynamics
;
motion by mean curvature
;
Green-Kubo formula for the interfacial mobility
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract We derive the phenomenological dynamics of interfaces from stochastic “microscopic” models. The main emphasis is on models with a nonconserved order parameter. A slowly varying interface has then a local normal velocity proportional to the local mean curvature. We study bulk models and effective interface models and obtain Green-Kubo-like expressions for the mobility. Also discussed are interface motion in the case of a conserved order parameter, pure surface diffusion, and interface fluctuations. For the two-dimensional Ising model at zero temperature, motion by mean curvature is established rigorously.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01049962
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