THERMODYNAMICS OF DISPERSING BILLIARDS WITH TIME-DEPENDENT BOUNDARIES

Autor:	O. A. Chichigina, Alexander Loskutov, Alexei B. Ryabov
Rok vydání:	2008
Předmět:	Physics Applied Mathematics Lorentz transformation Horizon Periodic oscillations Fermi acceleration Function (mathematics) symbols.namesake Classical mechanics Position (vector) Modeling and Simulation symbols Particle Dynamical billiards Engineering (miscellaneous)
Zdroj:	International Journal of Bifurcation and Chaos. 18:2863-2869
ISSN:	1793-6551 0218-1274
DOI:	10.1142/s0218127408022123
Popis:	By means of a thermodynamic approach we analyze billiards in the form of the Lorentz gas with the open horizon. For periodic and stochastic oscillations of the scatterers, the average velocity of the particle ensemble as a function of time is analytically obtained. It is shown that the consequence of such oscillations is Fermi acceleration which is larger for periodic oscillations. The described results do not depend on the size of scatterers and their position. Only the property of the horizon openness is necessary. It is found that the developed thermodynamic approach is in a very good agreement with the results of the direct numerical simulations at which the corresponding billiard map is used.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::49dc86834b074630029c744ddf234fa3 https://doi.org/10.1142/s0218127408022123 Zobrazit plný text záznamu