Ergodicity for generalized Kawasaki dynamics

Authors
Kondrat, G Peszat, S Zegarlinski, B
Citation
G. Kondrat et al., Ergodicity for generalized Kawasaki dynamics, J PHYS A, 33(33), 2000, pp. 5901-5912
Citations number
17
Categorie Soggetti
Physics
Journal title
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN journal
03054470 → ACNP
Volume
33
Issue
33
Year of publication
2000
Pages
5901 - 5912
Database
ISI
SICI code
0305-4470(20000825)33:33<5901:EFGKD>2.0.ZU;2-6
Abstract
We give a necessary and sufficient condition for a Gibbs measure mu on the product space Omega = (S-1)Z(d) to satisfy the spectral gap or the logarith mic Sobolev inequality with the following quadratic form: [GRAPHICS] where Y is a finite set and a(l) are integers. As a consequence we prove th at the generalized Kawasaki dynamics decays exponentially to equilibrium in the supremum norm in a strong mixing region.