Infinite-dimensional diffusions and depletion interaction for a model of colloids

Abstract

We consider infinite-dimensional random diffusion dynamics for the Asakura--Oosawa model of interacting hard spheres of two different sizes. We construct a solution to the corresponding SDE with collision local times, analyse its reversible measures, and observe the emergence of an attractive short-range depletion interaction between the large spheres. We study the Gibbs measures associated to this new interaction, exploring connections to percolation and optimal packing.

Version accepted for publication in the Annales de la Faculté des Sciences de Toulouse. 31 pages, 1 figure