Convergence to the equilibrium state for Bose-Einstein 1-D Kac grazing limit model

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.

15 pages, 10 figures. research paper