161 citations · 1.8k across the 68 of their papers we have counts for
5 papers · 2 filters
Exact diffusion coefficient of self-gravitating Brownian particles in two dimensions
P. H. Chavanis
We derive the exact expression of the diffusion coefficient of a self-gravitating Brownian gas in two dimensions. Our formula generalizes the usual Einstein relation for a free Bro…
Nonlinear mean-field Fokker-Planck equations and their applications in physics, astrophysics and biology
Pierre-Henri Chavanis
We discuss a general class of nonlinear mean-field Fokker-Planck equations [P.H. Chavanis, Phys. Rev. E, 68, 036108 (2003)] and show their applications in different domains of phys…
Logotropic distributions
Pierre-Henri Chavanis, Clement Sire
In all spatial dimensions , we study the static and dynamical properties of a generalized Smoluchowski equation which describes the evolution of a gas obeying a logotropic equat…
Lynden-Bell and Tsallis distributions for the HMF model
P. H. Chavanis
Systems with long-range interactions can reach a Quasi Stationary State (QSS) as a result of a violent collisionless relaxation. If the system mixes well (ergodicity), the QSS can…
A maximum entropy principle explains quasi-stationary states in systems with long-range interactions: the example of the Hamiltonian Mean Field model
Andrea Antoniazzi, Duccio Fanelli, Julien Barré +3
A generic feature of systems with long-range interactions is the presence of {\it quasi-stationary} states with non-Gaussian single particle velocity distributions. For the case of…