Repository: Freie Universit├Ąt Berlin, Math Department

Diffusion dynamics for an infinite system of two-type spheres and the associated depletion effect

Fradon, Myriam and Kern, Julian and Roelly, Sylvie and Zass, Alexander (2023) Diffusion dynamics for an infinite system of two-type spheres and the associated depletion effect. Preprint submitted to Stochastic Processes and their Applications . (Submitted)

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Abstract

We consider a random diffusion dynamics for an infinite system of hard spheres of two different sizes evolving in Rd, its reversible probability measure, and its projection on the subset of the large spheres. The main feature is the occurrence of an attractive short-range dynamical interaction -- known in the physics literature as a depletion interaction -- between the large spheres, which is induced by the hidden presence of the small ones. By considering the asymptotic limit for such a system when the density of the particles is high, we also obtain a constructive dynamical approach to the famous discrete geometry problem of maximisation of the contact number of n identical spheres in Rd. As support material, we propose numerical simulations in the form of movies.

Item Type:Article
Subjects:Mathematical and Computer Sciences
Mathematical and Computer Sciences > Mathematics
Mathematical and Computer Sciences > Mathematics > Applied Mathematics
Divisions:Department of Mathematics and Computer Science > Institute of Mathematics
ID Code:3035
Deposited By: Jana Jerosch
Deposited On:17 Jan 2024 08:45
Last Modified:02 Feb 2024 10:17

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