507 citations · 8.4k across the 215 of their papers we have counts for
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On the effective velocity created by a point vortex in two-dimensional hydrodynamics
Pierre-Henri Chavanis
We complete previous investigations on the statistics of velocity fluctuations arising from a random distribution of point vortices in two-dimensional hydrodynamics. We show that,…
Phase transitions in self-gravitating systems. Self-gravitating fermions and hard spheres models
P. H. Chavanis
We discuss the nature of phase transitions in self-gravitating systems both in the microcanonical and in the canonical ensemble. We avoid the divergence of the gravitational potent…
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…
Kinetic theory of point vortices: diffusion coefficient and systematic drift
P. H. Chavanis
We develop a kinetic theory for point vortices in two-dimensional hydrodynamics. Using standard projection operator technics, we derive a Fokker-Planck equation describing the rela…
Thermodynamics of self-gravitating systems
P. H. Chavanis, C. Rosier, C. Sire
Self-gravitating systems are expected to reach a statistical equilibrium state either through collisional relaxation or violent collisionless relaxation. However, a maximum entropy…