50 citations · 75 across the 7 of their papers we have counts for
9 papers
Large deviations, gradient flows and fluctuating hydrodynamics for fractional diffusion
Julien Barre, Hiroshi Horii
This work is a step towards a general understanding of fluctuations for systems of particles described at large scale by fractional diffusion. First, we derive formally a Large Dev…
Diffusion stabilises time-periodic solutions in conservation laws coupled to a relaxation oscillator
Julien Barré, Nils Berglund, Hiroshi Horii
We study a viscous one-dimensional conservation law, coupled to a fast ordinary differential equation. For a vanishing viscosity, the system has an infinite-dimensional family of t…
Universality of discontinuous bifurcations in collisionless dynamics
Yoshiyuki Y. Yamaguchi, Julien Barré
We investigate the universality in collisionless nonlinear dynamics of a codimension-two bifurcation where two eigenvalues collide at the origin, and two lines of continuous bifurc…
How general is the Jensen--Varadhan large deviation functional for 1D conservation laws?
Julien Barré, Ouassim Feliachi
Starting from a microscopic particle model whose hydrodynamic limit under hyperbolic space-time scaling is a 1D conservation law, we derive the large deviation rate function encodi…
Towards a classification of bifurcations in Vlasov equations
Julien Barré, David Métivier, Yoshiyuki Y. Yamaguchi
We propose a classification of bifurcations of Vlasov equations, based on the strength of the resonance between the unstable mode and the continuous spectrum on the imaginary axis.…
Density large deviations for multidimensional stochastic hyperbolic conservation laws
Julien Barré, Cedric Bernardin, Raphaël Chetrite
We investigate the density large deviation function for a multidimensional conservation law in the vanishing viscosity limit, when the probability concentrates on weak solutions of…
Bifurcations and singularities for coupled oscillators with inertia and frustration
Julien Barré, David Métivier
We prove that any non zero inertia, however small, is able to change the nature of the synchronization transition in Kuramoto-like models, either from continuous to discontinuous,…
Non equilibrium phase transition with gravitational-like interaction in a cloud of cold atoms
Julien Barré, Bruno Marcos, David Wilkowski
We propose to use a cloud of laser cooled atoms in a quasi two dimensional trap to investigate a non equilibrium collapse phase transition in presence of gravitational-like interac…
Combinatorial models of rigidity and renormalization
Julien Barré
We first introduce the percolation problems associated with the graph theoretical concepts of -sparsity, and make contact with the physical concepts of ordinary and rigidity…