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

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

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.

Suggested Citation

  • Livorati, André L.P. & Loskutov, Alexander & Leonel, Edson D., 2012. "A peculiar Maxwell’s Demon observed in a time-dependent stadium-like billiard," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(20), pages 4756-4762.
    • Handle: RePEc:eee:phsmap:v:391:y:2012:i:20:p:4756-4762
    DOI: 10.1016/j.physa.2012.05.002
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    Cited by:

    1. Cirillo, Emilio N.M. & Colangeli, Matteo & Di Francesco, Antonio & Kröger, Martin & Rondoni, Lamberto, 2024. "Particle traps and stationary currents captured by an active 1D model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 642(C).

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