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.
Original language | English |
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Pages (from-to) | 1081-1132 |
Number of pages | 52 |
Journal | Journal of Statistical Physics |
Volume | 71 |
Issue number | 5-6 |
DOIs | |
State | Published - Jun 1993 |
Externally published | Yes |
Keywords
- Ginzburg-Landau models A and B
- Green-Kubo formula for the interfacial mobility
- interfacial dynamics
- lattice gases
- motion by mean curvature
- spin-flip models