Convergence to the equilibrium state for Bose-Einstein 1-D Kac grazing limit model
Analysis of PDEs
2013-02-27 v1
Abstract
The convergence to the equilibrium of the solution of the quantum Kac model for Bose-Einstein identical particles is studied in this paper. Using the relative entropy method and a detailed analysis of the entropy production, the exponential decay rate is obtained under suitable assumptions.The theoretical results are further illustrated by numerical simulations.
Keywords
Cite
@article{arxiv.1302.6377,
title = {Convergence to the equilibrium state for Bose-Einstein 1-D Kac grazing limit model},
author = {Radjesvarane Alexandre and Jie Liao and Chunjin Lin},
journal= {arXiv preprint arXiv:1302.6377},
year = {2013}
}
Comments
15 pages, 10 figures. research paper