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 such as ergodicity and chaoticity are very different. Indeed, even in the 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. The energy threshold can be found analytically and results can be generalized for a generic XY model with asymmetric coupling.

Broken Ergodicity in Classically Chaotic Spin Systems / F. Borgonovi; G. L. Celardo; M. Maianti; E. Pedersoli. - In: JOURNAL OF STATISTICAL PHYSICS. - ISSN 0022-4715. - STAMPA. - 116:(2004), pp. 1435-1447. [10.1023/b:joss.0000041745.62340.00]

Broken Ergodicity in Classically Chaotic Spin Systems

G. L. Celardo
Membro del Collaboration Group
;
2004

Abstract

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 such as ergodicity and chaoticity are very different. Indeed, even in the 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. The energy threshold can be found analytically and results can be generalized for a generic XY model with asymmetric coupling.
2004
116
1435
1447
F. Borgonovi; G. L. Celardo; M. Maianti; E. Pedersoli
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/1303704
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