507 citations · 8.4k across the 215 of their papers we have counts for
10 papers · 1 filter
Kinetic theory of spatially inhomogeneous stellar systems without collective effects
Pierre-Henri Chavanis
We review and complete the kinetic theory of spatially inhomogeneous stellar systems when collective effects (dressing of the stars by their polarization cloud) are neglected. We s…
Caloric curves fitted by polytropic distributions in the HMF model
A. Campa, P. H. Chavanis
We perform direct numerical simulations of the HMF model starting from non-magnetized initial conditions with a velocity distribution that is (i) gaussian, (ii) semi-elliptical, an…
Linear response theory for hydrodynamic and kinetic equations with long-range interactions
Pierre-Henri Chavanis
We apply the linear response theory to systems with long-range interactions described by hydrodynamic equations such as the Euler, Smoluchowski, and damped Euler equations. We anal…
A simple model of universe with a polytropic equation of state
Pierre-Henri Chavanis
We construct a simple model of universe with a generalized equation of state having a linear component and a polytropic component .…
Models of universe with a polytropic equation of state: III. The phantom universe
Pierre-Henri Chavanis
We construct models of universe with a generalized equation of state having a linear component and a polytropic component. The linear equation of state $p=αρ…
Models of universe with a polytropic equation of state: II. The late universe
Pierre-Henri Chavanis
We construct models of universe with a generalized equation of state having a linear component and a polytropic component. In this paper, we consider negativ…
Models of universe with a polytropic equation of state: I. The early universe
Pierre-Henri Chavanis
We construct models of universe with a generalized equation of state having a linear component and a polytropic component. In this paper, we consider positiv…
Virial theorem for Onsager vortices in two-dimensional hydrodynamics
Pierre-Henri Chavanis
We derive the virial theorem appropriate to two-dimensional point vortices at statistical equilibrium in the microcanonical and canonical ensembles. In an unbounded domain, it rela…
Statistical mechanics of quasi-geostrophic flows on a rotating sphere
Corentin Herbert, Bérengère Dubrulle, Pierre-Henri Chavanis +1
Statistical mechanics provides an elegant explanation to the appearance of coherent structures in two-dimensional inviscid turbulence: while the fine-grained vorticity field, descr…
Phase transitions and marginal ensemble equivalence for freely evolving flows on a rotating sphere
Corentin Herbert, Bérengère Dubrulle, Pierre-Henri Chavanis +1
The large-scale circulation of planetary atmospheres like that of the Earth is traditionally thought of in a dynamical framework. Here, we apply the statistical mechanics theory of…