200 citations · 1.4k across the 52 of their papers we have counts for
11 papers · 1 filter
Spatio-temporal fluctuations in the passive and active Riesz gas on the circle
Leo Touzo, Pierre Le Doussal, Gregory Schehr
We consider a periodic Riesz gas consisting of classical particles on a circle, interacting via a two-body repulsive potential which behaves locally as a power law of the dista…
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…
Run-and-tumble particle in one-dimensional potentials: mean first-passage time and applications
Mathis Guéneau, Satya N. Majumdar, Gregory Schehr
We study a one-dimensional run-and-tumble particle (RTP), which is a prototypical model for active system, moving within an arbitrary external potential. Using backward Fokker-Plan…
The number of minima in random landscapes generated by constrained random walk and Lévy flights: universal properties
Anupam Kundu, Satya N. Majumdar, Gregory Schehr
We provide a uniform framework to compute the exact distribution of the number of minima/maxima in three different random walk landscape models in one dimension. The landscape is g…
Cumulants and large deviations for the linear statistics of the one-dimensional trapped Riesz gas
Pierre Le Doussal, Gregory Schehr
We consider the classical trapped Riesz gas, i.e., particles at positions in one dimension with a repulsive power law interacting potential , wit…
Resetting by rescaling: exact results for a diffusing particle in one-dimension
Marco Biroli, Yannick Feld, Alexander K. Hartmann +2
In this paper, we study a simple model of a diffusive particle on a line, undergoing a stochastic resetting with rate , via rescaling its current position by a factor , which…