Oliveira, Diego F. M.Vollmer, JuergenLeonel, Edson Denis [UNESP]2013-09-302014-05-202013-09-302014-05-202011-02-15Physica D-nonlinear Phenomena. Amsterdam: Elsevier B.V., v. 240, n. 4-5, p. 389-396, 2011.0167-2789http://hdl.handle.net/11449/24896Some 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.389-396engBilliardLorentz gasLyapunov exponentsFermi accelerationScalingArtigo10.1016/j.physd.2010.09.015WOS:000287058000004Acesso restrito61306442327186100000-0001-8224-3329