English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We consider a random diffusion dynamics for an infinite system of hardspheres of two different sizes evolving in $\mathbb{R}^d$, its reversibleprobability measure, and its projection on the subset of the large spheres. Themain feature is the occurrence of an attractive short-range dynamicalinteraction -- known in the physics literature as a depletion interaction --between the large spheres, which is induced by the hidden presence of the smallones. By considering the asymptotic limit for such a system when the density ofthe particles is high, we also obtain a constructive dynamical approach to thefamous discrete geometry problem of maximisation of the contact number of $n$identical spheres in $\mathbb{R}^d$. As support material, we propose numericalsimulations in the form of movies.

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