Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2010-10-11
Physica D 241, 403-408 (2012)
Nonlinear Sciences
Chaotic Dynamics
10 pages
Scientific paper
We consider time-dependence of dynamical transport, following a recent study of the stadium billiard in which classical transmission and reflection probabilities were shown to exhibit exponential or algebraic decay depending on the choice of the lead or "hole". The system considered here is much more general, having a generic mixed phase space structure, time-dependence of the dynamics, and Fermi acceleration (trajectories with unbounded velocity). We propose an efficient numerical scheme for this model, observe the asymmetric transport effect, and discuss observed stretched exponential decays.
Dettmann Carl P.
Leonel Edson D.
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