Universal glassy dynamics at noise-perturbed onset of chaos. A route to ergodicity breakdown

Details Universal glassy dynamics at noise-perturbed onset of chaos. A route to ergodicity breakdown Universal glassy dynamics at noise-perturbed onset of chaos. A route to ergodicity breakdown

2003-07-11

arxiv.org/abs/cond-mat/0307285v1

Physics Letters A 328, 467-472 (2004)

Physics

Condensed Matter

Statistical Mechanics

5 pages, 1 figure

Scientific paper

10.1016/j.physleta.2004.06.062

The dynamics of iterates at the transition to chaos in one-dimensional unimodal maps is shown to exhibit the characteristic elements of the glass transition, e.g. two-step relaxation and aging. The properties of the bifurcation gap induced by external noise, including a relationship between relaxation time and entropy, are seen to be comparable to those of a supercooled liquid above a glass transition temperature. Universal time evolution obtained from the Feigenbaum RG transformation is expressed analytically via $q$-exponentials, and interpreted in terms of nonextensive statistics.

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