ONE-PARTICLE SUBSPACES IN THE STOCHASTIC XY MODEL

Authors
KONDRATIEV Y MINLOS RA
Citation
Y. Kondratiev et Ra. Minlos, ONE-PARTICLE SUBSPACES IN THE STOCHASTIC XY MODEL, Journal of statistical physics, 87(3-4), 1997, pp. 613-642
Citations number
17
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Journal of statistical physics → ACNP
ISSN journal
00224715
Volume
87
Issue
3-4
Year of publication
1997
Pages
613 - 642
Database
ISI
SICI code
0022-4715(1997)87:3-4<613:OSITSX>2.0.ZU;2-T
Abstract
We study the spectrum of the generator H-beta of the Glauber dynamics for a model of planar rotators on a lattice in the case of a high temp erature 1/beta We construct two so-called one-particle subspaces H+/-, for H-beta and describe the spectrum of the generator in these subspa ces. As a consequence we find time asymptotics of the correlations for the Glauber dynamics.