Published May 1987
| Version v1
Journal article
Hydrodynamic limit of a one-dimensional Ginzburg-Landau lattice model. The a Priori bounds
Description
The simplest Ginzburg-Landau model with conservation law is investigated. The initial state is specified by an inhomogeneous profile of the chemical potential associated with the conserved quantity, that is, the mean spin. It is shown that the main spin satisfies a nonlinear diffusion equation in the hydrodynamic limit. The proof is based on the nice, parabolic structure of the model. A standard perturbation technique is used
Additional details
Publishing Information
- Journal Title
- J. Stat. Phys.
- Journal Volume
- 47
- Journal Issue
- 3-4
- Series
- J. Stat. Phys.
- Journal Page Range
- 551-572
- ISSN
- 0022-4715
- CODEN
- JSTPB
INIS
- Country of Publication
- United States
- Country of Input or Organization
- United States
- INIS RN
- 18096107
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- BOUNDARY CONDITIONS; CONSERVATION LAWS; CRYSTAL LATTICES; CRYSTAL MODELS; DIFFUSION; GINZBURG-LANDAU THEORY; HAMILTONIANS; HYDRODYNAMICS; LTE; NONLINEAR PROBLEMS; ONE-DIMENSIONAL CALCULATIONS; POTENTIALS; QUANTUM MECHANICS; SPIN; STATISTICAL MECHANICS; STOCHASTIC PROCESSES; THERMODYNAMICS
- Descriptors DEC
- ANGULAR MOMENTUM; CRYSTAL STRUCTURE; EQUILIBRIUM; FLUID MECHANICS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; MECHANICS; PARTICLE PROPERTIES; QUANTUM OPERATORS