507 citations · 8.4k across the 215 of their papers we have counts for
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Statistics of the gravitational force in various dimensions of space: from Gaussian to Levy laws
Pierre-Henri Chavanis
We discuss the distribution of the gravitational force created by a Poissonian distribution of field sources (stars, galaxies,...) in different dimensions of space d. In d=3, it is…
Relativistic stars with a linear equation of state: analogy with classical isothermal spheres and black holes
Pierre-Henri Chavanis
We complete our previous investigation concerning the structure and the stability of "isothermal" spheres in general relativity. This concerns objects that are described by a linea…
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…
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…
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…
On the lifetime of metastable states in self-gravitating systems
Pierre-Henri Chavanis
We discuss the physical basis of the statistical mechanics of self-gravitating systems. We show the correspondance between statistical mechanics methods based on the evaluation of…
Statistical mechanics and phase diagrams of rotating self-gravitating fermions
P. H. Chavanis, M. Rieutord
We compute statistical equilibrium states of rotating self-gravitating systems enclosed within a box by maximizing the Fermi-Dirac entropy at fixed mass, energy and angular momentu…
Statistical mechanics of violent relaxation in stellar systems
P. H. Chavanis
We discuss the statistical mechanics of violent relaxation in stellar systems following the pioneering work of Lynden-Bell (1967). The solutions of the gravitational Vlasov-Poisson…
Gravitational instability of isothermal and polytropic spheres
P. H. Chavanis
We complete previous investigations on the thermodynamics of self-gravitating systems by studying the grand canonical, grand microcanonical and isobaric ensembles. We also discuss…
The self-gravitating Fermi gas
P. H. Chavanis
We discuss the nature of phase transitions in the self-gravitating Fermi gas at non-zero temperature. This study can be relevant for massive neutrinos in Dark Matter models and for…
Gravitational instability of slowly rotating isothermal spheres
P. -H. Chavanis
We discuss the statistical mechanics of rotating self-gravitating systems by allowing properly for the conservation of angular momentum. We study analytically the case of slowly ro…
Gravitational instability of polytropic spheres and generalized thermodynamics
P. H. Chavanis
We complete the existing literature on the structure and stability of polytropic gas spheres reported in the classical monograph of Chandrasekhar (1942). For isolated polytropes wi…
Gravitational instability of finite isothermal spheres in general relativity. Analogy with neutron stars
Pierre-Henri Chavanis
We investigate the effects of relativity on the gravitational instability of finite isothermal gaseous spheres. In the first part of the paper, we treat the gravitational field wit…
Gravitational instability of finite isothermal spheres
P. -H. Chavanis
We investigate the stability of bounded self-gravitating systems in the canonical ensemble by using a thermodynamical approach. Our study extends the earlier work of Padmanabhan [A…
Trapping of dust by coherent vortices in the solar nebula
Pierre-Henri Chavanis
We develop the idea proposed by Barge & Sommeria (1995) and Tanga et al. (1996) that large-scale vortices present in the solar nebula can concentrate dust particles and facilitate…
Particle Aggregation in a turbulent Keplerian flow
A. Bracco, P. H. Chavanis, A. Provenzale +1
In the problem of planetary formation one seeks a mechanism to gather small solid particles together into larger accumulations of solid matter. Here we describe a scenario in which…