Broken Ergodicity in classically chaotic spin systems

Details Broken Ergodicity in classically chaotic spin systems Broken Ergodicity in classically chaotic spin systems

2004-02-10

arxiv.org/abs/cond-mat/0402270v1

Jour. Stat. Phys. 110, 235 (2004)

Physics

Condensed Matter

Statistical Mechanics

6 pages, 3 figures

Scientific paper

10.1023/B:JOSS.0000041745.62340.

A one dimensional classically chaotic spin chain with asymmetric coupling and two different inter-spin interactions, nearest neighbors and all-to-all, has been considered. Depending on the interaction range, dynamical properties, as ergodicity and chaoticity are strongly different. Indeed, even in presence of chaoticity, the model displays a lack of ergodicity only in presence of all to all interaction and below an energy threshold, that persists in the thermodynamical limit. Energy threshold can be found analytically and results can be generalized for a generic XY model with asymmetric coupling.

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