Ergodic Properties of Microcanonical Observables

Details Ergodic Properties of Microcanonical Observables Ergodic Properties of Microcanonical Observables

1997-09-12

arxiv.org/abs/chao-dyn/9709015v1

Nonlinear Sciences

Chaotic Dynamics

19 pages, 6 figures

Scientific paper

The problem of the existence of a Strong Stochasticity Threshold in the FPU-beta model is reconsidered, using suitable microcanonical observables of thermodynamic nature, like the temperature and the specific heat. Explicit expressions for these observables are obtained by exploiting rigorous methods of differential geometry. Measurements of the corresponding temporal autocorrelation functions locate the threshold at a finite value of the energy density, that results to be indipendent of the number of degrees of freedom.

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