Weak ergodicity breaking with deterministic dynamics

G. Bel, E. Barkai

Research output: Contribution to journalArticlepeer-review

46 Scopus citations

Abstract

The concept of weak ergodicity breaking is denned and studied in the context of deterministic dynamics. We show that weak ergodicity breaking describes a system whose dynamics is governed by a nonlinear map which generates subdiffusion deterministically. In the non-ergodic phase a non-trivial distribution of the fraction of occupation times is obtained. The visitation fraction remains uniform even in the non-ergodic phase. In this sense the non-ergodicity is quantified, leading to a statistical mechanical description of the system even though it is not ergodic.

Original languageEnglish
Pages (from-to)15-21
Number of pages7
JournalEPL
Volume74
Issue number1
DOIs
StatePublished - 1 Apr 2006

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