9 papers
The Tracy-Widom distribution at large Dyson index
Alain Comtet, Pierre Le Doussal, Naftali R. Smith
We study the Tracy-Widom (TW) distribution in the limit of large Dyson index . This distribution describes the fluctuations of the rescaled largest eigenva…
Non-uniqueness of the steady state for run-and-tumble particles with a double-well interaction potential
Léo Touzo, Pierre Le Doussal
We study run-and-tumble particles (RTPs) in one dimension interacting via a double-well potential , which is repulsive at short interparticle dis…
A mean-field theory for heterogeneous random growth with redistribution
Maximilien Bernard, Jean-Philippe Bouchaud, Pierre Le Doussal
We study the competition between random multiplicative growth and redistribution/migration in the mean-field limit, when the number of sites is very large but finite. We find that…
Ground state energy fluctuations of pinned elastic manifolds
Yan V. Fyodorov, Bertrand Lacroix-A-Chez-Toine, Pierre Le Doussal
We describe the atypical fluctuations of the ground state energy of the random elastic manifold, a disordered model defined on a lattice of linear size with internal dimension…
Crystal to liquid cross-over for active particles with inverse-square power-law interaction
Saikat Santra, Leo Touzo, Chandan Dasgupta +6
We consider a one-dimensional system comprising of run-and-tumble particles confined in a harmonic trap interacting via a repulsive inverse-square power-law interaction. We num…
Linear statistics at the microscopic scale for the 2D Coulomb gas
Pierre Le Doussal, Gregory Schehr
We consider the classical Coulomb gas in two dimensions at the inverse temperature , confined within a droplet of radius by a rotationally invariant potential . For…