507 citations · 8.4k across the 215 of their papers we have counts for
12 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…
Kinetic theory with angle-action variables
Pierre-Henri Chavanis
We present a kinetic theory for inhomogeneous systems with weak long-range interactions. Starting from the Klimontovich equation and using a quasilinear theory, we obtain a closed…
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…
White dwarf stars in D dimensions
P. H. Chavanis
We determine the mass-radius relation of relativistic white dwarf stars (a self-gravitating degenerate Fermi gas at T=0) in a D-dimensional universe and study the influence of the…
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…
Dynamical stability of collisionless stellar systems and barotropic stars: the nonlinear Antonov first law
P. H. Chavanis
We complete previous investigations on the dynamical stability of barotropic stars and collisionless stellar systems. A barotropic star that minimizes the energy functional at fixe…
Statistical mechanics of 2D turbulence with a prior vorticity distribution
P. H. Chavanis
We adapt the formalism of the statistical theory of 2D turbulence in the case where the Casimir constraints are replaced by the specification of a prior vorticity distribution. A n…