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Diffusion Phenomena in a Mixed Phase Space

Research output: Contribution to Journal/Magazine › Journal article › peer-review

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Diffusion Phenomena in a Mixed Phase Space. / Palmero, Matheus; Diaz, Gabriel I.; McClintock, Peter V. E. et al.
In: Chaos, Vol. 30, 07.01.2020.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Palmero, M, Diaz, GI, McClintock, PVE & Leonel, E 2020, 'Diffusion Phenomena in a Mixed Phase Space', Chaos, vol. 30. https://doi.org/10.1063/ 1.5100607

APA

Palmero, M., Diaz, G. I., McClintock, P. V. E., & Leonel, E. (2020). Diffusion Phenomena in a Mixed Phase Space. Chaos, 30. Advance online publication. https://doi.org/10.1063/ 1.5100607

Vancouver

Palmero M, Diaz GI, McClintock PVE, Leonel E. Diffusion Phenomena in a Mixed Phase Space. Chaos. 2020 Jan 7;30. Epub 2020 Jan 7. doi: 10.1063/ 1.5100607

Author

Palmero, Matheus ; Diaz, Gabriel I. ; McClintock, Peter V. E. et al. / Diffusion Phenomena in a Mixed Phase Space. In: Chaos. 2020 ; Vol. 30.

Bibtex

@article{190c02574bca46a596dab3658d22da44,
title = "Diffusion Phenomena in a Mixed Phase Space",
abstract = "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.",
author = "Matheus Palmero and Diaz, {Gabriel I.} and McClintock, {Peter V. E.} and Edson Leonel",
note = "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.",
year = "2020",
month = jan,
day = "7",
doi = "10.1063/ 1.5100607",
language = "English",
volume = "30",
journal = "Chaos",
issn = "1054-1500",
publisher = "American Institute of Physics Publising LLC",

}

RIS

TY - JOUR

T1 - Diffusion Phenomena in a Mixed Phase Space

AU - Palmero, Matheus

AU - Diaz, Gabriel I.

AU - McClintock, Peter V. E.

AU - Leonel, Edson

N1 - 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.

PY - 2020/1/7

Y1 - 2020/1/7

N2 - 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.

AB - 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.

U2 - 10.1063/ 1.5100607

DO - 10.1063/ 1.5100607

M3 - Journal article

VL - 30

JO - Chaos

JF - Chaos

SN - 1054-1500

ER -