507 citations · 8.4k across the 215 of their papers we have counts for
9 papers · 1 filter
Hamiltonian and Brownian systems with long-range interactions
Pierre-Henri Chavanis
We discuss the dynamics and thermodynamics of systems with long-range interactions. We contrast the microcanonical description of an isolated Hamiltonian system to the canonical de…
On the meaning of Tsallis functional in astrophysics
P. H. Chavanis, C. Sire
We discuss the meaning of Tsallis functional in astrophysics. The energy functional of a polytropic star is similar to Tsallis free energy and the H-function associated with a stel…
Coarse-grained distributions and superstatistics
Pierre-Henri Chavanis
We show an interesting connexion between the coarse-grained distribution function arising in the theory of violent relaxation for collisionless stellar systems (Lynden-Bell 1967) a…
Gravitational collapse of a Brownian gas
C. Sire, P. H. Chavanis
We investigate a model describing the dynamics of a gas of self-gravitating Brownian particles. This model can also have applications for the chemotaxis of bacterial populations. W…
Generalized kinetic equations and effective thermodynamics
Pierre-Henri Chavanis
We introduce a new class of nonlocal kinetic equations and nonlocal Fokker-Planck equations associated with an effective generalized thermodynamical formalism. These equations have…
Thermodynamics of MHD flows with axial symmetry
Nicolas Leprovost, Pierre-Henri Chavanis, Berengere Dubrulle
We present strategies based upon extremization principles, in the case of the axisymmetric equations of magnetohydrodynamics (MHD). We study the equilibrium shape by using a minimu…
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…
Chapman-Enskog derivation of the generalized Smoluchowski equation
Pierre-Henri Chavanis, Philippe Laurencot, Mohammed Lemou
We use the Chapman-Enskog method to derive the Smoluchowski equation from the Kramers equation in a high friction limit. We consider two main extensions of this problem: we take in…
Estimate of blow-up and relaxation time for self-gravitating Brownian particles and bacterial populations
Pierre-Henri Chavanis, Clement Sire
We determine an asymptotic expression of the blow-up time t_coll for self-gravitating Brownian particles or bacterial populations (chemotaxis) close to the critical point. We show…