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SUMMARY:Tracer-bath correlations in d-dimensional interacting particle sys
 tems - Davide Venturelli (Sorbonne Université)
DTSTART:20250121T130000Z
DTEND:20250121T140000Z
UID:TALK225421@talks.cam.ac.uk
CONTACT:Sarah Loos
DESCRIPTION:When a tagged tracer particle diffuses in a bath of similar-si
 zed particles\, it locally perturbs the bath\, leading to spatial correlat
 ions that can be generically long-ranged. Understanding these tracer-bath 
 correlations offers a powerful tool for probing the tracer statistics in s
 uch strongly correlated systems — however\, their analytical treatment r
 emains challenging due to the complex many-body nature of the problem. Ind
 eed\, while these correlations have been recently characterized for the si
 mple exclusion process in one spatial dimension [1]\, much less is known f
 or higher dimensions (d > 1)\, and beyond simple lattice models.\nIn this 
 talk\, I will address the tracer-bath correlations for both discrete (hard
 -core) and continuum (soft-core) interacting particle models in d > 1\, us
 ing macroscopic fluctuation theory\, the Dean-Kawasaki framework\, and par
 ticle-based numerical simulations. I will show how the comb lattice — a 
 geometry that interpolates between d=1 and d=2 — provides physical insig
 hts into the role of spatial correlations [2]. Finally\, I will reveal a s
 eemingly universal power-law decay at large distances\, shared by a broad 
 class of interacting particle systems\, despite the distinct nature of the
 ir interactions [3].\n\n[1] A. Grabsch\, A. Poncet\, P. Rizkallah\, P. Ill
 ien\, O. Bénichou\, Sci. Adv. 8\, eabm5043 (2022)\n\n[2] T. Berlioz\, D. 
 Venturelli\, A. Grabsch\, O. Bénichou\, J. Stat. Mech. (2024) 113208\n\n[
 3] D. Venturelli\, P. Illien\, A. Grabsch\, O. Bénichou\, arXiv:2411.0932
 6 (2024)
LOCATION:Center for Mathematical Sciences\, Lecture room MR4
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