Stable regimes for hard disks in a channel with twisting walls

Details Stable regimes for hard disks in a channel with twisting walls Stable regimes for hard disks in a channel with twisting walls

2011-11-20

arxiv.org/abs/1111.4604v2

Mathematics

Dynamical Systems

30 pages, final version to appear in "Chaos"

Scientific paper

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 $N\geq 2$). 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.

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