74 citations · 143 across the 12 of their papers we have counts for
14 papers
From Landau Equation and Large Deviations to Efficient Simulations of Dynamical Fluctuations
Anwar El Rhirhayi, Jean-Baptiste Fouvry, Julien Barré
The (deterministic) Landau equation captures the mean long-term evolution of dynamically hot long-range interacting finite- systems. Though successful, this kinetic equation fun…
Fluctuating kinetic theory and fluctuating hydrodynamics of aligning active particles: the dilute limit
Ouassim Feliachi, Marc Besse, Cesare Nardini +1
Kinetic and hydrodynamic theories are widely employed for describing the collective behaviour of active matter systems. At the fluctuating level, these have been obtained from expl…
Slow-fast dynamics in stochastic Lotka-Volterra systems
Julien Barré, Bastien Fernandez, Grégoire Panel
We investigate the large population dynamics of a family of stochastic particle systems with three-state cyclic individual behaviour and parameter-dependent transition rates. On sh…
Anisotropic long-range interaction investigated with cold atoms
Vincent Mancois, Julien Barré, Chang Chi Kwong +3
In two dimensions, a system of self-gravitating particles collapses and forms a singularity in finite time below a critical temperature . We investigate experimentally a quasi…
Fast non mean-field networks: uniform in time averaging
Julien Barré, Paul Dobson, Michela Ottobre +1
We study a population of particles, which evolve according to a diffusion process and interact through a dynamical network. In turn, the evolution of the network is coupled to…
Gamma Convergence Approach For The Large Deviations Of The Density In Systems Of Interacting Diffusion Processes
Julien Barré, Cedric Bernardin, Raphaël Chétrite +2
We consider extended slow-fast systems of N interacting diffusions. The typical behavior of the empirical density is described by a nonlinear McKean-Vlasov equation depending on ,…