Communications in Mathematical Physics

, Volume 149, Issue 1, pp 175–193

The logarithmic sobolev inequality for discrete spin systems on a lattice

  • Daniel W. Stroock
  • Boguslaw Zegarlinski
Article

Abstract

For finite range lattice gases with a finite spin space, it is shown that the Dobrushin-Shlosman mixing condition is equivalent to the existence of a logarithmic Sobolev inequality for the associated (unique) Gibbs state. In addition, implications of these considerations for the ergodic properties of the corresponding Glauber dynamics are examined.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag 1992

Authors and Affiliations

  • Daniel W. Stroock
    • 1
  • Boguslaw Zegarlinski
    • 1
    • 2
  1. 1.Department of Mathematics, 2-272M.I.T.CambridgeUSA
  2. 2.Fakultät für MathematikRuhr-Universität-BochumBochum 1Germany

Personalised recommendations