Lecturer: Dr. Itzhak Fouxon
Affiliation: Weizmann Institute of Science
Abstract:
We study the sequence of particles' collisions
in a small system of hard balls. We demonstrate
that ergodicity implies quite unusual phenomenon.
The particles have preferences over long time
intervals during which the particle consistently
collides more with certain particles and less
with others. Things look like there is effective
interaction between the particles.
Though the preferences change sooner or later
the average waiting time to the change is infinite.
The results hold for dilute gas with arbitrary
short-range interactions and dense fluids
of hard balls.