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arXiv · 2502.15628

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

Myriam Fradon·Alexander Zass
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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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Myriam Fradon, Alexander Zass. 2025-02-21. Infinite-dimensional diffusions and depletion interaction for a model of colloids. https://arxiv.org/abs/2502.15628

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