507 citations · 8.4k across the 215 of their papers we have counts for
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Out of equilibrium phase transitions in mean field Hamiltonian dynamics
Pierre-Henri Chavanis, Giovanni De Ninno, Duccio Fanelli +1
Systems with long-range interactions display a short-time relaxation towards Quasi-Stationary States (QSSs), whose lifetime increases with system size. With reference to the Hamilt…
Nonlinear mean field Fokker-Planck equations. Application to the chemotaxis of biological populations
Pierre-Henri Chavanis
We study a general class of nonlinear mean field Fokker-Planck equations in relation with an effective generalized thermodynamical formalism. We show that these equations describe…
Statistical mechanics and thermodynamic limit of self-gravitating fermions in D dimensions
Pierre-Henri Chavanis
We discuss the statistical mechanics of a system of self-gravitating fermions in a space of dimension . We plot the caloric curves of the self-gravitating Fermi gas giving the t…
Jeans type analysis of chemotactic collapse
Pierre-Henri Chavanis, Clement Sire
We perform a linear dynamical stability analysis of a general hydrodynamic model of chemotactic aggregation [Chavanis & Sire, Physica A, in press (2007)]. Specifically, we study th…
Relativistic stars with a linear equation of state: analogy with classical isothermal spheres and black holes
Pierre-Henri Chavanis
We complete our previous investigation concerning the structure and the stability of "isothermal" spheres in general relativity. This concerns objects that are described by a linea…
Kinetic and hydrodynamic models of chemotactic aggregation
Pierre-Henri Chavanis, Clement Sire
We derive general kinetic and hydrodynamic models of chemotactic aggregation that describe certain features of the morphogenesis of biological colonies (like bacteria, amoebae, end…
Critical mass of bacterial populations and critical temperature of self-gravitating Brownian particles in two dimensions
Pierre-Henri Chavanis
We show that the critical mass M_c=8πof bacterial populations in two dimensions in the chemotactic problem is the counterpart of the critical temperature T_c=GMm/4k_B of self-gravi…
Hamiltonian and Brownian systems with long-range interactions: IV. General kinetic equations from the quasilinear theory
Pierre-Henri Chavanis
We develop the kinetic theory of Hamiltonian systems with weak long-range interactions. Starting from the Klimontovich equation and using a quasilinear theory, we obtain a general…
Hamiltonian and Brownian systems with long-range interactions: III. The BBGKY hierarchy for spatially inhomogeneous systems
Pierre-Henri Chavanis
We study the growth of correlations in systems with weak long-range interactions. Starting from the BBGKY hierarchy, we determine the evolution of the two-body correlation function…
Critical mass of bacterial populations in a generalized Keller-Segel model. Analogy with the Chandrasekhar limiting mass of white dwarf stars
Pierre-Henri Chavanis, Clement Sire
We point out a remarkable analogy between the limiting mass of white dwarf stars (Chandrasekhar's limit) and the critical mass of bacterial populations in a generalized Keller-Sege…
Kinetic theory of two dimensional point vortices from a BBGKY-like hierarchy
P. H. Chavanis
Starting from the Liouville equation, we derive the exact hierarchy of equations satisfied by the reduced distribution functions of the single species point vortex gas in two dimen…
Kinetic theory of point vortices in two dimensions: analytical results and numerical simulations
P. H. Chavanis, M. Lemou
We develop the kinetic theory of point vortices in two-dimensional hydrodynamics and illustrate the main results of the theory with numerical simulations. We first consider the evo…