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International Workshop on Interacting Particle Systems

Dynamical Connectivity of Hard Spheres


Sergio Simonella , Ecole Normale Superieure Lyon, France


29 Mar, 20:40 - 21:00


Vaguely inspired by some numerical simulations that recently populated the web, I will talk about collisional clusters of interacting particles, focusing on elementary hard sphere dynamics. Different notions of clusters may be typically bounded, or not, depending on their behaviour under time-reversal. Cluster dynamics is a tendency of self-organising in small groups (clusters), which behave independently for random intervals of time. This breaks with the sudden appearance of a giant cluster. Based on a kinetic limit, one can provide analytic formulations.