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P. Le Doussal

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Preprint Nov 2026

Density and Current Fluctuations for Run-and-Tumble Particles With and Without Interactions

We study density and current fluctuations in a one-dimensional gas of run-and-tumble particles (RTPs), whose intrinsic velocities switch between two opposite values at a constant rate. We consider particles with and without pair interactions, including regularized Riesz gases, and also obtain corresponding results for...

Léo Touzo, G. Schehr, P. Le Doussal · 0 citations
Preprint Oct 2026

Linear statistics in the Coulomb gas: cumulants beyond rotational invariance

We consider a classical Coulomb gas of $N$ particles in dimension $d\geq2$, confined by a general external potential $U$ in the large-$N$ limit. In that limit the density of particles has a compact support called the droplet. We study smooth linear statistics ${\mathcal L}_N=\sum_{i=1}^N f({\bf x}_i)$ at large $N$. Whi...

Paul Bourgade, P. Le Doussal, G. Schehr · 0 citations

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