507 citations · 8.4k across the 215 of their papers we have counts for
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Statistical mechanics of two-dimensional vortices and stellar systems
P. H. Chavanis
The formation of large-scale vortices is an intriguing phenomenon in two-dimensional turbulence. Such organization is observed in large-scale oceanic or atmospheric flows, and can…
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…
Brownian theory of 2D turbulence and generalized thermodynamics
Pierre-Henri Chavanis
We propose a new parametrization of 2D turbulence based on generalized thermodynamics and Brownian theory. Explicit relaxation equations are obtained that should be easily implemen…
Generalized thermodynamics and Fokker-Planck equations. Applications to stellar dynamics, two-dimensional turbulence and Jupiter's great red spot
Pierre-Henri Chavanis
We introduce a new set of generalized Fokker-Planck equations that conserve energy and mass and increase a generalized entropy until a maximum entropy state is reached. The concept…
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…
Phase diagram of self-attracting systems
P. H. Chavanis, I. Ispolatov
Phase diagram of microcanonical ensembles of self-attracting particles is studied for two types of short-range potential regularizations: self-gravitating fermions and classical pa…
Thermodynamics and collapse of self-gravitating Brownian particles in D dimensions
C. Sire, P. -H. Chavanis
We address the thermodynamics (equilibrium density profiles, phase diagram, instability analysis...) and the collapse of a self-gravitating gas of Brownian particles in D dimension…
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…