153 citations · 1.4k across the 38 of their papers we have counts for
11 papers · 1 filter
Newtonian gravity in d dimensions
Pierre-Henri Chavanis
We study the influence of the dimension of space on the thermodynamics of the classical and quantum self-gravitating gas. We consider Hamiltonian systems of self-gravitating partic…
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…
Statistical mechanics of the shallow-water system with a prior potential vorticity distribution
P. H. Chavanis, B. Dubrulle
We adapt the statistical mechanics of the shallow-water equations to the case where the flow is forced at small scales. We assume that the statistics of forcing is encoded in a pri…
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…
Phase separation of bacterial colonies in a limit of high degradation. Analogy with Jupiter's great red spot
P. H. Chavanis
We discuss the structure of the equilibrium states of a regularized Keller-Segel model describing the chemotaxis of bacterial populations. We consider the limit of high degradation…