272 citations · 1.2k across the 23 of their papers we have counts for
23 papers
Particle interactions mediated by dynamical networks: assessment of macroscopic descriptions
Julien Barré, José Antonio Carrillo de la Plata, Pierre Degond +2
We provide a numerical study of the macroscopic model of [3] derived from an agent-based model for a system of particles interacting through a dynamical network of links. Assuming…
Kinetic theory of particle interactions mediated by dynamical networks
Julien Barré, Pierre Degond, Ewelina Zatorska
We provide a detailed multiscale analysis of a system of particles interacting through a dynamical network of links. Starting from a microscopic model, via the mean field limit, we…
Motility-induced phase separation of active particles in the presence of velocity alignment
Julien Barre, Raphael Chetrite, Massimiliano Muratori +1
Self-propelled particle (SPP) systems are intrinsically out of equilibrium systems, where each individual particle converts energy into work to move in a dissipative medium. When i…
Dynamical pattern formations in two dimensional fluid and Landau pole bifurcation
Shun Ogawa, Julien Barré, Hidetoshi Morita +1
A phenomenological theory is proposed to analyze the asymptotic dynamics of perturbed inviscid Kolmogorov shear flows in two dimensions. The phase diagram provided by the theory is…
On the neighborhood of an inhomogeneous stable stationary solution of the Vlasov equation - Case of the Hamiltonian mean-field model
Julien Barre, Yoshiyuki Y. Yamaguchi
We consider the one-dimensional Vlasov equation with an attractive cosine potential, and its non homogeneous stationary states that are decreasing functions of the energy. We show…
On algebraic damping close to inhomogeneous Vlasov equilibria in multi-dimensional spaces
Julien Barre, Yoshiyuki Y Yamaguchi
We investigate the asymptotic damping of a perturbation around inhomogeneous stable stationary states of the Vlasov equation in spatially multi-dimensional systems. We show that br…