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

Download full text files

Export metadata

  • Export Bibtex
  • Export RIS

Additional Services

Share in Twitter Search Google Scholar
Metadaten
Author:Diego Fregolente Mendes de Oliveira, Edson D. Leonel
URN:urn:nbn:de:bvb:29-opus-38343
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 / Naturwissenschaftliche Fakultät -ohne weitere Spezifikation-
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 50 Naturwissenschaften / 500 Naturwissenschaften und Mathematik
PACS-Classification:00.00.00 GENERAL / 05.00.00 Statistical physics, thermodynamics, and nonlinear dynamical systems (see also 02.50.-r Probability theory, stochastic processes, and statistics) / 05.45.-a Nonlinear dynamics and chaos (see also section 45 Classical mechanics of discrete systems; for chaos in fluid dynamics, see 47.52.+j) / 05.45.Ac Low-dimensional chaos
00.00.00 GENERAL / 05.00.00 Statistical physics, thermodynamics, and nonlinear dynamical systems (see also 02.50.-r Probability theory, stochastic processes, and statistics) / 05.45.-a Nonlinear dynamics and chaos (see also section 45 Classical mechanics of discrete systems; for chaos in fluid dynamics, see 47.52.+j) / 05.45.Pq Numerical simulations of chaotic systems
Collections:Universität Erlangen-Nürnberg / Allianzlizenzen / Allianzlizenzen 2012

$Rev: 13581 $