Relative entropy and hydrodynamic limits. (English) Zbl 0790.60094

Varadhan, S. R. S.

Cambanis, Stamatis (ed.) et al., Stochastic processes: a Festschrift in honour of Gopinath Kallianpur. New York: Springer-Verlag. 329-336 (1993).

M. Z. Guo, G. C. Papanicolaou and S. R. S. Varadhan [Commun. Math. Phys. 118, No. 1, 31-59 (1988; Zbl 0652.60107)] established a hydrodynamic scaling limit for the non-gradient version of the Ginzburg-Landau type model. For the same model, the author shows that starting from an initial distribution that is locally Gibbsian, at any later time the distributions remain close to locally Gibbsian distributions.
For the entire collection see [Zbl 0917.00020].

Reviewer: L.G.Gorostiza (Mexico City)

MSC:

60K35

Interacting random processes; statistical mechanics type models; percolation theory

Keywords:

hydrodynamic scaling limit; Ginzburg-Landau type model; locally Gibbsian distributions

Citations:

Zbl 0652.60107