岡山大学環境理工学部研究報告 ISSN 2187-6940
Published by Faculty of Environmental Science and Technology, Okayama University

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A Critical Phenomenon Appearing in the Process of Patricle Diffusion in Classical Statistical Mechanics

Hora, Akihito
Abstract
An aspect of the cut-off phenomenon is reviewed. It is a sort of critical phenomenon observed in a wide variety of diffusion. We introduce a framework in which such a phenomenon can be understood and analyzed in a rigorous manner. We illustrate the mechanism with some concrete models.
Keywords
cut-off phenomenon
critical time
diffusion
Markov chain on a graph
symmetry
ISSN
1341-9099
NCID
AN10529213