Diffusion phenomena in a mixed phase space
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2020-01-01
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Palmero, Matheus S. [UNESP]
Díaz, Gabriel I.
McClintock, Peter V. E.
Leonel, Edson D. [UNESP]
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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 a phase space, the method of images, and the 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 islands. The calculated average velocities agree well with numerical simulations and with an earlier empirical theory.
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Chaos, v. 30, n. 1, 2020.