Fermi acceleration and its suppression in a time-dependent Lorentz gas

PHYSICA D-NONLINEAR PHENOMENA

卷:240

Article

Oliveira, Diego F. M.^1,2  Vollmer, Juergen²  Leonel, Edson D.³ 

[1] Univ Maribor, CAMTP Ctr Appl Math & Theoret Phys, SI-2000 Maribor, Slovenia

[2] Max Planck Inst Dynam & Self Org, D-37073 Gottingen, Germany

[3] Univ Estadual Paulista, Inst Geociencias & Ciencias Exatas, Dept Estat Matemat Aplicada & Computacao, BR-13506900 Rio Claro, SP, Brazil

关键词: Billiard;    Lorentz gas;    Lyapunov exponents;    Fermi acceleration;    Scaling;   

DOI  :  10.1016/j.physd.2010.09.015

来源: Elsevier

【 摘 要 】

Some dynamical properties for a Lorentz gas were studied considering both static and time-dependent boundaries. For the static case, it was confirmed that the system has a chaotic component characterized with a positive Lyapunov exponent. For the time-dependent perturbation, the model was described using a four-dimensional nonlinear map. The behaviour of the average velocity is considered in two different situations: (i) non-dissipative and (ii) dissipative dynamics. Our results confirm that unlimited energy growth is observed for the non-dissipative case. However, and totally new for this model, when dissipation via inelastic collisions is introduced, the scenario changes and the unlimited energy growth is suppressed, thus leading to a phase transition from unlimited to limited energy growth. The behaviour of the average velocity is described using scaling arguments. (C) 2010 Elsevier B.V. All rights reserved.

【 授权许可】

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