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Derivation of the hydrodynamical equation for one-dimensional Ginzburg- Landau model. (English) Zbl 0659.60132

Probab. Theory Relat. Fields (to appear).
The hydrodynamical behaviour of one-dimensional scalar Ginzburg-Landau model with conservation law is investigated. The dynamics of the system is given by solving a stochastic partial differential equation. Under appropriate space-time scaling, a deterministic limit is obtained and the limit is described by a particular nonlinear diffusion equation.
Reviewer: T.Funaki

MSC:

60K35 Interacting random processes; statistical mechanics type models; percolation theory
60H15 Stochastic partial differential equations (aspects of stochastic analysis)