Diffusion Phenomena in a Mixed Phase Space

Palmero, Matheus and Diaz, Gabriel I. and McClintock, Peter V. E. and Leonel, Edson (2020) Diffusion Phenomena in a Mixed Phase Space. Chaos, 30. ISSN 1054-1500

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We show that, in strongly chaotic dynamical systems, the average particle velocity can be calculated analytically by consideration of Brownian dynamics in phase space, the method of images and use of the classical diffusion equation. The method is demonstrated on the simplified Fermi-Ulam accelerator model, which has a mixed phase space with chaotic seas, invariant tori and Kolmogorov-Arnold-Moser (KAM) islands. The calculated average velocities agree well with numerical simulations and with an earlier empirical theory. The procedure can readily be extended to other systems including time-dependent billiards.

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Copyright 2019 American Institute of Physics. The following article appeared in Chaos, ??, 2019 and may be found at http://dx.doi.org/[add doi] This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics.
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?? physics and astronomy(all)mathematical physicsstatistical and nonlinear physicsapplied mathematics ??
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05 Dec 2019 14:20
Last Modified:
08 Jan 2024 00:19