2005/07/31 by Golan Bel, Eli Barkai · 2 citations
Physics and Astronomy · #cond-mat.stat-mech #nlin.CD
paper · pdf · doi:10.1209/epl/i2005-10501-8
published as Europhys. Lett., 74 (1), pp. 15-21 (2006) · 11 pages, 4 figures
arxiv created 2006/11/07 · arxiv updated 2009/12/01
The concept of weak ergodicity breaking is defined and studied in the context of deterministic dynamics. We show that weak ergodicity breaking describes a weakly chaotic dynamical system: a nonlinear map which generates subdiffusion deterministically. In the non-ergodic phase 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.