Stable regimes for hard disks in a channel with twisting walls

Math Physics Seminar
Friday, March 29, 2013 - 3:00pm
1 hour (actually 50 minutes)
Skiles 006
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>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.