title: Fluctuations in the relaxation dynamics of mixed chaotic systems.
abstract: The relaxation dynamics in mixed chaotic systems are believed to decay algebraically with a universal decay exponent that emerges from the hierarchical structure of the phase space. Numerical studies, however, yield a variety of values for this exponent. In order to reconcile these results, we consider an ensemble of mixed chaotic systems approximated by rate equations and analyze the fluctuations in the distribution of Poincaré recurrence times. Our analysis shows that the behavior of these fluctuations, as a function of time, implies a very slow convergence of the decay exponent of the relaxation.
authors: The Racah Institute of Physics, The Hebrew University, Jerusalem 91904, Israel.
authors: Roy
authors: R
authors: Ceder
authors: Oded
authors: O
authors: Agam
mesh_terms: D003198:Computer Simulation; D015233:Models, Statistical; D017711:Nonlinear Dynamics