A peculiar Maxwell’s Demon observed in a time-dependent stadium-like billiard

André L.P. Livorati, Alexander Loskutov and Edson D. Leonel

Physica A: Statistical Mechanics and its Applications, 2012, vol. 391, issue 20, 4756-4762

Abstract: The dynamics of a driven stadium-like billiard is considered using the formalism of discrete mappings. The model presents a resonant velocity that depends on the rotation number around fixed points and external boundary perturbation which plays an important separation rule in the model. We show that particles exhibiting Fermi acceleration (initial velocity is above the resonant one) are scaling invariant with respect to the initial velocity and external perturbation. However, initial velocities below the resonant one lead the particles to decelerate therefore unlimited energy growth is not observed. This phenomenon may be interpreted as a specific Maxwell’s Demon which may separate fast and slow billiard particles.

Keywords: Stadium billiard; Nonlinear mapping; Fermi acceleration; Scaling; Chaos (search for similar items in EconPapers)
Date: 2012
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:391:y:2012:i:20:p:4756-4762

DOI: 10.1016/j.physa.2012.05.002

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