Tracer-bath correlations in d-dimensional interacting particle systems

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• Davide Venturelli (Sorbonne Université)
• Tuesday 21 January 2025, 13:00-14:00
• Center for Mathematical Sciences, Lecture room MR4.

If you have a question about this talk, please contact Sarah Loos.

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 models 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].

[1] A. Grabsch, A. Poncet, P. Rizkallah, P. Illien, O. Bénichou, Sci. Adv. 8, eabm5043 (2022)

[2] T. Berlioz, D. Venturelli, A. Grabsch, O. Bénichou, J. Stat. Mech. (2024) 113208

[3] D. Venturelli, P. Illien, A. Grabsch, O. Bénichou, arXiv:2411.09326 (2024)

This talk is part of the DAMTP Statistical Physics and Soft Matter Seminar series.

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• Center for Mathematical Sciences, Lecture room MR4
• DAMTP Statistical Physics and Soft Matter Seminar
• Soft Matter
• bld31

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