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Updated: Jun 19, 2026

Visually Based Characterization of the Incipient Particle Motion in Regular Substrates: From Laminar to Turbulent Conditions
Published on: February 22, 2018
Fermi acceleration and scaling properties of a time dependent oval billiard
Edson D Leonel1, Diego F M Oliveira, Alexander Loskutov
1Departamento de Estatística, Matemática Aplicada e Computação, Universidade Estadual Paulista, São Paulo, Brazil.
Abstract:
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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