507 citations · 8.4k across the 215 of their papers we have counts for
9 papers · 1 filter
Dynamics of the Bose-Einstein condensation: analogy with the collapse dynamics of a classical self-gravitating Brownian gas
Julien Sopik, Clement Sire, Pierre-Henri Chavanis
We consider the dynamics of a gas of free bosons within a semi-classical Fokker-Planck equation for which we give a physical justification. In this context, we find a striking simi…
Relaxation of a test particle in systems with long-range interactions: diffusion coefficient and dynamical friction
P. H. Chavanis
We study the relaxation of a test particle immersed in a bath of field particles interacting via weak long-range forces. To order 1/N in the limit, the velocity dist…
Curious behaviour of the diffusion coefficient and friction force for the strongly inhomogeneous HMF model
P. H. Chavanis
We present first elements of kinetic theory appropriate to the inhomogeneous phase of the HMF model. In particular, we investigate the case of strongly inhomogeneous distributions…
Quasi-stationary states and incomplete violent relaxation in systems with long-range interactions
P. H. Chavanis
We discuss the nature of quasi-stationary states (QSS) with non-Boltzmannian distribution in systems with long-range interactions in relation with a process of incomplete violent r…
Relaxation of the distribution function tails for systems described by Fokker-Planck equations
Pierre-Henri Chavanis, Mohammed Lemou
We study the formation and the evolution of velocity distribution tails for systems with long-range interactions. In the thermal bath approximation, the evolution of the distributi…
Dynamics and thermodynamics of axisymmetric flows: I. Theory
Nicolas Leprovost, Bérengère Dubrulle, Pierre-Henri Chavanis
We develop new variational principles to study stability and equilibrium of axisymmetric flows. We show that there is an infinite number of steady state solutions. We show that the…
Generalized Fokker-Planck equations and effective thermodynamics
Pierre-Henri Chavanis
We introduce a new class of Fokker-Planck equations associated with an effective generalized thermodynamical framework. These equations describe a gas of Langevin particles in inte…
Virial theorem and dynamical evolution of self-gravitating Brownian particles and bacterial populations in an unbounded domain
Pierre-Henri Chavanis, Clement Sire
We derive the Virial theorem appropriate to the generalized Smoluchowski-Poisson system describing self-gravitating Brownian particles and bacterial populations (chemotaxis). We ex…
Self-gravitating Brownian systems and bacterial populations with two or more types of particles
Julien Sopik, Clement Sire, Pierre-Henri Chavanis
We study the thermodynamical properties of a self-gravitating gas with two or more types of particles. Using the method of linear series of equilibria, we determine the structure a…