WIAS Preprint No. 3181, (2025)

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


Authors

  • Fradon, Myriam
  • Zass, Alexander
    ORCID: 0000-0001-6124-842X

2020 Mathematics Subject Classification

  • 60K35 60H10 60J55 82D99

Keywords

  • Stochastic differential equation, hard core interaction, reversible measure, collision local time, colloids, depletion interaction, Gibbs point process

DOI

10.20347/WIAS.PREPRINT.3181

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.

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