In-flight and collisional dissipation as a mechanism to suppress Fermi acceleration in a breathing Lorentz gas

  • Some dynamical properties for a time dependent Lorentz gas considering both the dissipative and non dissipative dynamics are studied. The model is described by using a four-dimensional nonlinear mapping. For the conservative dynamics, scaling laws are obtained for the behavior of the average velocity for an ensemble of non interacting particles and the unlimited energy growth is confirmed. For the dissipative case, four different kinds of damping forces are considered namely: (i) restitution coefficient which makes the particle experiences a loss of energy upon collisions; and in-flight dissipation given by (ii) F = −ηV2; (iii) F = −ηVμ with μ ≠ 1 and μ ≠ 2 and; (iv) F = −ηV, where η is the Some dynamical properties for a time dependent Lorentz gas considering both the dissipative and non dissipative dynamics are studied. The model is described by using a four-dimensional nonlinear mapping. For the conservative dynamics, scaling laws are obtained for the behavior of the average velocity for an ensemble of non interacting particles and the unlimited energy growth is confirmed. For the dissipative case, four different kinds of damping forces are considered namely: (i) restitution coefficient which makes the particle experiences a loss of energy upon collisions; and in-flight dissipation given by (ii) F = −ηV2; (iii) F = −ηVμ with μ ≠ 1 and μ ≠ 2 and; (iv) F = −ηV, where η is the dissipation parameter. Extensive numerical simulations were made and our results confirm that the unlimited energy growth, observed for the conservative dynamics, is suppressed for the dissipative case. The behaviour of the average velocity is described using scaling arguments and classes of universalities are defined.show moreshow less

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Metadaten
Author:Diego Fregolente Mendes de Oliveira, Edson D. Leonel
URN:urn:nbn:de:bvb:29-opus-38343
Title of the journal / compilation:Chaos 22.2 (2012): 07.11.2012 <http://chaos.aip.org/resource/1/chaoeh/v22/i2/p026123_s1>
Document Type:Article
Language:English
Date of Publication (online):2012/11/08
Publishing Institution:Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU)
Release Date:2012/11/08
Tag:chaos; damping; nonlinear dynamical systems; scaling phenomena
SWD-Keyword:-
Original publication:Chaos 22.2 (2012): 07.11.2012 <http://chaos.aip.org/resource/1/chaoeh/v22/i2/p026123_s1>
Institutes:Naturwissenschaftliche Fakultät -ohne weitere Spezifikation-
Dewey Decimal Classification:500 Naturwissenschaften und Mathematik
PACS-Classification:05.45.Ac Low-dimensional chaos
05.45.Pq Numerical simulations of chaotic systems
Collections:Allianzlizenzen 2012

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