Absorption time in certain urn models

被引:12
作者
Lipowski, A
机构
[1] Magnetism Theory Division, Department of Physics, A Mickiewicz University, Poznań
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1997年 / 30卷 / 05期
关键词
D O I
10.1088/0305-4470/30/5/003
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We show that the average absorption time tau in a certain M-urn model recently introduced by Ritort in the context of glassy dynamics has a lower bound 2(N-1) + N - 3, where N is the number of balls. A Monte Carlo scheme, which accurately estimates the absorption time even when tau similar to 10(12), indicates that for large N we have tau similar to 2(N).
引用
收藏
页码:L91 / L94
页数:4
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