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19992009
most citedNonlinear mean field Fokker-Planck equations. Application to the chemotaxis of biological populations

153 citations · 1.4k across the 38 of their papers we have counts for

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Showing 2005Show all

7 papers · 1 filter

cond-mat.stat-mech2005

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…

cond-mat.stat-mech2005

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…

cond-mat.stat-mech2005

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…

cond-mat.stat-mech2005

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…

cond-mat.stat-mech2005

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…

cond-mat.stat-mech2005

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…