Competition between unlimited and limited energy growth in a two-dimensional time-dependent billiard

Fregolente Mendes de Oliveira D, Pöschel T (2013)


Publication Language: English

Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 2013

Journal

Publisher: Elsevier

Book Volume: 377

Pages Range: 2052-2057

DOI: 10.1016/j.physleta.2013.06.029

Abstract

Some dynamical properties for a dissipative time-dependent Lorentz gas are studied. We assume that the size of the scatterers change periodically in time. We show that for some combination of the control parameters the particles come to a complete stop between the scatterers, but for some other cases, the average velocity grows unbounded. This is the first time that the unlimited energy growth is observed in a dissipative system. Finally, we study the behavior of the average velocity as a function of the number of collisions and we show that the system is scaling invariant with scaling exponents well defined. © 2013 Elsevier B.V. All rights reserved.

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APA:

Fregolente Mendes de Oliveira, D., & Pöschel, T. (2013). Competition between unlimited and limited energy growth in a two-dimensional time-dependent billiard. Physics Letters A, 377, 2052-2057. https://dx.doi.org/10.1016/j.physleta.2013.06.029

MLA:

Fregolente Mendes de Oliveira, Diego, and Thorsten Pöschel. "Competition between unlimited and limited energy growth in a two-dimensional time-dependent billiard." Physics Letters A 377 (2013): 2052-2057.

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