Fermi acceleration and scaling properties of a time dependent oval billiard | Zendy

Edson D. Leonel | Zendy; Diego F. M. Oliveira | Zendy; Alexander Loskutov | Zendy

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Fermi acceleration and scaling properties of a time dependent oval billiard

Author(s) -

Edson D. Leonel,

Diego F. M. Oliveira,

Alexander Loskutov

Publication year - 2009

Publication title -

chaos an interdisciplinary journal of nonlinear science

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.971

H-Index - 113

eISSN - 1089-7682

pISSN - 1054-1500

DOI - 10.1063/1.3227740

Subject(s) - fermi acceleration , dynamical billiards , fermi gamma ray space telescope , scaling , physics , acceleration , exponent , boundary (topology) , particle acceleration , boundary value problem , particle (ecology) , classical mechanics , mechanics , geometry , mathematical analysis , condensed matter physics , quantum mechanics , mathematics , philosophy , oceanography , geology , linguistics

We consider the phenomenon of Fermi acceleration for a classical particle inside an area with a closed boundary of oval shape. The boundary is considered to be periodically time varying and collisions of the particle with the boundary are assumed to be elastic. It is shown that the breathing geometry causes the particle to experience Fermi acceleration with a growing exponent rather smaller as compared to the no breathing case. Some dynamical properties of the particle's velocity are discussed in the framework of scaling analysis.

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