507 citations · 8.4k across the 215 of their papers we have counts for
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Gravitational phase transitions with an exclusion constraint in position space
Pierre-Henri Chavanis
We discuss the statistical mechanics of a system of self-gravitating particles with an exclusion constraint in position space in a space of dimension . The exclusion constraint…
A cosmological model describing the early inflation, the intermediate decelerating expansion, and the late accelerating expansion by a quadratic equation of state
Pierre-Henri Chavanis
We develop a cosmological model based on a quadratic equation of state p/c^2=-(α+1){ρ^2}/{ρ_P}+αρ-(α+1)ρ_Λ (where ρ_P is the Planck density and ρ_Λ the cosmological density) "unify…
Statistical mechanics of two-dimensional point vortices: relaxation equations and strong mixing limit
Pierre-Henri Chavanis
We complete the literature on the statistical mechanics of point vortices in two-dimensional hydrodynamics. Using a maximum entropy principle, we determine the multi-species Boltzm…
Random transitions described by the stochastic Smoluchowski-Poisson system and by the stochastic Keller-Segel model
P. H. Chavanis, L. Delfini
We study random transitions between two metastable states that appear below a critical temperature in a one dimensional self-gravitating Brownian gas with a modified Poisson equati…
Explicit formula of energy-conserving Fokker-Planck type collision term for single species point vortex systems with weak mean flow
Yuichi Yatsuyanagi, Tadatsugu Hatori, Pierre-Henri Chavanis
This paper derives a kinetic equation for a two-dimensional single species point vortex system. We consider a situation (different from the ones considered previously) of weak mean…
Supernovae: an example of complexity in the physics of compressible fluids
Yves Pomeau, Martine Le Berre, Pierre-Henri Chavanis +1
The supernovae are typical complex phenomena in fluid mechanics with very different time scales. We describe them in the light of catastrophe theory, assuming that successive equil…