Davide Venturelli

Jeudi 06 Mars 2025, 14h00, salle E4.13b

Davide Venturelli

LPTMC, Sorbonne Université

Tracer-bath correlations in interacting particle systems

When a tagged tracer particle diffuses in a bath of similar-sized particles, it locally perturbs the bath, leading to spatial correlations that can be generically long-ranged. Understanding these tracer-bath correlations offers a powerful tool for probing the tracer statistics in such strongly correlated systems — however, their analytical treatment remains challenging due to the complex many-body nature of the problem. Indeed, while these correlations have been recently characterized for the simple exclusion process in one spatial dimension [1], much less is known for higher dimensions (d > 1), and beyond simple lattice models.

In this talk, I will address the tracer-bath correlations for both discrete (hard-core) and continuum (soft-core) interacting particle systems in d > 1, using macroscopic fluctuation theory, the Dean-Kawasaki framework, and particle-based numerical simulations. I will show how the comb lattice — a geometry that interpolates between d=1 and d=2 — provides physical insights into the role of spatial correlations [2]. Finally, I will reveal a seemingly universal power-law decay at large distances, shared by a broad class of interacting particle systems, despite the distinct nature of their interactions [3].

Lien teams: https://teams.microsoft.com/l/meetup-join/19%3aac3d3339d1c740e0a3b81b94e49808c1%40thread.tacv2/1698658652943?context=%7b%22Tid%22%3a%22b8c19512-2aed-471d-a8d1-9b06e7da786a%22%2c%22Oid%22%3a%222ea0eb78-4abd-439c-8240-cc89774321a2%22%7d