Title: An extension of the Kac ring model
Authors: De Roeck, Woyciech ×
Jacobs, Tim
Maes, Christian
Netocny, K #
Issue Date: Nov-2003
Publisher: Iop publishing ltd
Series Title: Journal of Physics A. Mathematical and General vol:36 issue:46 pages:11547-11559
Abstract: We introduce a unitary dynamics for quantum spins which is an extension of a model introduced by Mark Kac to clarify the phenomenon of relaxation to equilibrium. When the number of spins becomes very large, the magnetization satisfies an autonomous equation as a function of time with exponentially fast relaxation to the equilibrium magnetization as determined by the microcanonical ensemble. This is proved as a law of large numbers with respect to a class of initial data. The corresponding Gibbs-von Neumann entropy is also computed and its monotonicity in time discussed.
ISSN: 0305-4470
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Theoretical Physics Section
× corresponding author
# (joint) last author

Files in This Item:

There are no files associated with this item.

Request a copy


All items in Lirias are protected by copyright, with all rights reserved.

© Web of science