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

Autor:	Chunjin Lin, Radjesvarane Alexandre, Jie Liao
Rok vydání:	2016
Předmět:	Kullback–Leibler divergence Thermodynamic equilibrium Entropy production Applied Mathematics General Mathematics Mathematical analysis Quantum relative entropy law.invention law Limit (mathematics) Statistical physics Exponential decay Bose–Einstein condensate Identical particles Mathematics
Zdroj:	Communications in Mathematical Sciences. 14:187-207
ISSN:	1945-0796 1539-6746
DOI:	10.4310/cms.2016.v14.n1.a7
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::10da93c3dffbc4262d97c147470ba85f https://doi.org/10.4310/cms.2016.v14.n1.a7 Zobrazit plný text záznamu