16 citations · 45 across the 11 of their papers we have counts for
4 papers · 1 filter
Relating absorbing and hard wall boundary conditions for a one-dimensional run-and-tumble particle
Mathis Guéneau, Léo Touzo
The connection between absorbing boundary conditions and hard walls is well established in the mathematical literature for a variety of stochastic models, including for instance th…
Non-equilibrium phase transitions in active rank diffusions
Léo Touzo, Pierre Le Doussal
We consider N run and tumble particles in one dimension interacting via a linear 1D Coulomb potential, an active version of the rank diffusion problem. It was solved previously for…
Fluctuations in the active Dyson Brownian motion and the overdamped Calogero-Moser model
Leo Touzo, Pierre Le Doussal, Gregory Schehr
Recently, we introduced the active Dyson Brownian motion model (DBM), in which run-and-tumble particles interact via a logarithmic repulsive potential in the presence of a harm…
Interacting, running and tumbling: the active Dyson Brownian motion
Leo Touzo, Pierre Le Doussal, Gregory Schehr
We introduce and study a model in one dimension of run-and-tumble particles (RTP) which repel each other logarithmically in the presence of an external quadratic potential. Thi…