Weak ergodicity breaking with deterministic dynamics

The concept of weak ergodicity breaking is defined 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 distr...

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Bibliographic Details
Published in:Europhysics letters 2006-04, Vol.74 (1), p.15-21
Main Authors: Bel, G, Barkai, E
Format: Article
Language:English
Subjects:
05.40.Fb
05.45.-a
74.40.+k
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Summary:The concept of weak ergodicity breaking is defined 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.
ISSN:0295-5075
1286-4854
DOI:10.1209/epl/i2005-10501-8