A two-scale approach to logarithmic Sobolev inequalities and the hydrodynamic limit (Q838319)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: A two-scale approach to logarithmic Sobolev inequalities and the hydrodynamic limit |
scientific article; zbMATH DE number 5598052
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A two-scale approach to logarithmic Sobolev inequalities and the hydrodynamic limit |
scientific article; zbMATH DE number 5598052 |
Statements
A two-scale approach to logarithmic Sobolev inequalities and the hydrodynamic limit (English)
0 references
24 August 2009
0 references
The authors use the logarithmic Sobolev inequalities (LSI) to deal with the coarse-graining of a lattice system with continuous spin variable, and one provides general conditions in order that a probability measure satisfies a LSI, from there one obtains a criterion for hydrodynamic limit. As an application example, one derives a LSI for a system of spins interacting by Kawasaki dynamics with a Ginzburg-Landau-type potential.
0 references
logarithmic Sobolev inequality
0 references
hydrodynamic limit
0 references
Spin system
0 references
Hawasaki dynamics
0 references
canonical ensembles
0 references
coarse0graining
0 references
0 references
0 references
0 references
0 references
