Stable regimes for hard disks in a channel with twisting walls

Abstract

We study a gas of $N$ hard disks in a box with semi-periodic boundary conditions. The unperturbed gas is hyperbolic and ergodic (these facts are proved for N=2 and expected to be true for all $N\ge 2$). We study various perturbations by twisting the outgoing velocity at collisions with the walls. We show that the dynamics tends to collapse to various stable regimes, however we define the perturbations and however small they are.

30 pages, final version to appear in "Chaos"

References in corpus (6)

• Rare events, escape rates and quasistationarity: some exact formulae
• Proof of the Ergodic Hypothesis for Typical Hard Ball Systems
• Escape Rates and Physically Relevant Measures for Billiards with Small Holes
• Bifurcations of periodic and chaotic attractors in pinball billiards with focusing boundaries
• Unconditional Proof of the Boltzmann-Sinai Ergodic Hypothesis
• Conditional Proof of the Boltzmann-Sinai Ergodic Hypothesis

Cited by in corpus (2)

• Chaos in the square billiard with a modified reflection law
• SRB measures for hyperbolic polygonal billiards