153 citations · 1.4k across the 38 of their papers we have counts for
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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…