Infinite-dimensional diffusions and depletion interaction for a model of colloids
Probability
2025-11-24 v3
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.
Keywords
Cite
@article{arxiv.2502.15628,
title = {Infinite-dimensional diffusions and depletion interaction for a model of colloids},
author = {Myriam Fradon and Alexander Zass},
journal= {arXiv preprint arXiv:2502.15628},
year = {2025}
}
Comments
Version accepted for publication in the Annales de la Facult\'e des Sciences de Toulouse. 31 pages, 1 figure