Hydrodynamic scaling limits with deterministic initial configurations
type: Item
instance of: scholarly article
title: Hydrodynamic scaling limits with deterministic initial configurations
zbMATH Open document ID: 0860.60086
published in: The Annals of Probability
publication date: 1996-07-07T00:00:00Z
review text: This paper considers the hydrodynamic scaling limits for the Ginzburg-Landau and interacting diffusion models with deterministic initial configurations, which are distributed reasonably well. To get the hydrodynamic limit the author applies the method developed by \textit{M. Z. Guo}, \textit{G. C. Papanicolaou} and \textit{S. R. S. Varadhan} [Commun. Math. Phys. 118, No. 1, 31-59 (1988; Zbl 0652.60107)]. Using the fact that the underlying system has elliptic evolution, it is shown that although the initial entropy is often infinite, after a finite amount of microscopic time the entropy growth has a proper bound while the macroscopic structure of the system remains unchanged.
Mathematics Subject Classification ID: 60K35
zbMATH DE Number: 897278
zbMATH Keywords: Ginzburg-Landau model
zbMATH Keywords: hydrodynamic limit
zbMATH Keywords: elliptic evolution
zbMATH Keywords: initial entropy
author: Sheng Lin Lu
reviewed by: S. Poghosyan
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1214/aop/1176987805
OpenAlex ID: W2069618363
DOI: 10.1214/AOP/1176987805
description: scientific article; zbMATH DE number 897278