Ergodicity of non-equilibrium Glauber dynamics in continuum

被引：7
|
作者：
Kondratiev, Yuri [1 ,2 ]
Kutoviy, Oleksandr [1 ,2 ]
Minlos, Robert [3 ]
机构：
[1] Univ Bielefeld, Fak Math, D-33615 Bielefeld, Germany
[2] Univ Bielefeld, Res Ctr BiBoS, D-33615 Bielefeld, Germany
[3] Russian Acad Sci, IITP, Moscow, Russia
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 2010年 / 258卷 / 09期
关键词：
Configuration space; Continuous Glauber dynamics; Ergodicity of Markov process; STATISTICAL MECHANICAL SYSTEMS; SPECTRAL GAP; STATES;
D O I：
10.1016/j.jfa.2009.09.005
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study asymptotic properties of the continuous Glauber dynamics with unbounded death and constant birth rates. In particular, an information about the location of the spectrum for the symbol of the Markov generator is obtained. The latter fact is used for the proof of the ergodicity of this process. We show that the speed of convergence to the equilibrium is exponential. (C) 2009 Elsevier Inc. All rights reserved.
引用
收藏
页码：3097 / 3116
页数：20
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