Metastability of Ginzburg-Landau model with a conservation law
type: Item
instance of: scholarly article
title: Metastability of Ginzburg-Landau model with a conservation law
zbMATH Open document ID: 0834.35120
DOI: 10.1007/BF02188577
published in: Journal of Statistical Physics
publication date: 1996-04-10T00:00:00Z
review text: The author considers the hydrodynamics of Ginzburg-Landau dynamics. Amongst the topics discussed are long-range interactions and the large deviations associated with short-range models. Particular attention is paid to the metastable region and a treatment is given of entropy production for both long and short range interactions. During the course of the analysis, bounds on several quantities are given. The treatment is entirely theoretical and there are no comparisons of the theory with experimental results.
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 82B20
Mathematics Subject Classification ID: 82D55
zbMATH DE Number: 795351
zbMATH Keywords: Ginzburg-Landau dynamics
zbMATH Keywords: long-range interactions
zbMATH Keywords: short-range models
zbMATH Keywords: metastable region
author: Horng-Tzer Yau
reviewed by: Ll. G. Chambers
MaRDI profile type: Publication
cites work: Fluctuations of one-dimensional Ginzburg-Landau models in nonequilibrium
cites work: On the hydrodynamic limit of a Ginzburg-Landau lattice model. The law of large numbers in arbitrary dimensions
cites work: On the diffusive nature of entropy flow in infinite systems: Remarks to a paper by Guo-Papanicolau-Varadhan
cites work: Large deviations from a hydrodynamic scaling limit
cites work: Glauber evolution with Kac potentials: III. Spinodal decomposition
cites work: Nonlinear diffusion limit for a system with nearest neighbor interactions
cites work: Rigorous Treatment of the Van Der Waals-Maxwell Theory of the Liquid-Vapor Transition
cites work: Spectral gap and logarithmic Sobolev inequality for Kawasaki and Glauber dynamics
cites work: Hydrodynamic limit for a system with finite range interactions
cites work: Metastability and exponential approach to equilibrium for low-temperature stochastic Ising models
cites work: Van der Waals limit and phase separation in a particle model with Kawasaki dynamics
cites work: Slow droplet-driven relaxation of stochastic Ising models in the vicinity of the phase coexistence region
cites work: Q3872705
cites work: Relative entropy and hydrodynamics of Ginzburg-Landau models
Recommended article: Equilibrium fluctuations in a metastable state of a Ginzburg-Landau system
Recommended article: Metastability for the dilute Curie-Weiss model with Glauber dynamics
Recommended article: Metastability and nucleation for conservative dynamics
Recommended article: Metastable Patterns, Layer Collapses, and Coarsening for a One‐Dimensional Ginzburg‐Landau Equation
Recommended article: Q5752961
Recommended article: Q5449233
Recommended article: Metastability in a continuous mean-field model at low temperature and strong interaction
Recommended article: Conservation laws of the complex Ginzburg-Landau equation
Recommended article: Q3028597
description: scientific article; zbMATH DE number 795351