We consider the behavior of classical particles which evolution consists of free motion
interrupted by binary collisions. The fluid of hard balls and the dilute gas with
arbitrary short-range interactions are treated, where the total number of particles is
moderate (say, five particles). We show that the numbers of collisions of a given particle
with other particles grow effectively as a biased random walk. This is used to prove that
over indefinitely long periods of time each particle has preferences: it systematically
collides more with certain particles and less with others. This property originates in the
arcsine law.Thus certain particles are effectively attracted and certain others are repelled,
making the particles effectively distinguishable. The effect is of statistical origin and it
reminds of entropic forces.
Effect of emergent distinguishability of particles in a non-equilibrium chaotic system
29.01.2021 16:30 - 17:30
Organiser:
H. Bruin, R. Zweimüller
Location:
zoom-meeting