153 citations · 1.4k across the 38 of their papers we have counts for
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Jeans type instability for a chemotactic model of cellular aggregation
Pierre-Henri Chavanis
We consider an inertial model of chemotactic aggregation generalizing the Keller-Segel model and we study the linear dynamical stability of an infinite and homogeneous distribution…
General properties of nonlinear mean field Fokker-Planck equations
Pierre-Henri Chavanis
Recently, several authors have tried to extend the usual concepts of thermodynamics and kinetic theory in order to deal with distributions that can be non-Boltzmannian. For dissipa…
Dynamical phase transitions in long-range Hamiltonian systems and Tsallis distributions with a time-dependent index
Alessandro Campa, Pierre-Henri Chavanis, Andrea Giansanti +1
We study dynamical phase transitions in systems with long-range interactions, using the Hamiltonian Mean Field (HMF) model as a simple example. These systems generically undergo a…
A stochastic Keller-Segel model of chemotaxis
Pierre-Henri Chavanis
We introduce stochastic models of chemotaxis generalizing the deterministic Keller-Segel model. These models include fluctuations which are important in systems with small particle…
Critical dynamics of self-gravitating Langevin particles and bacterial populations
Clement Sire, Pierre-Henri Chavanis
We study the critical dynamics of the generalized Smoluchowski-Poisson system (for self-gravitating Langevin particles) or generalized Keller-Segel model (for the chemotaxis of bac…
Microcanonical quasi-stationarity of long-range interacting systems in contact with a heat bath
Fulvio Baldovin, Pierre-Henri Chavanis, Enzo Orlandini
On the basis of analytical results and molecular dynamics simulations we clarify the nonequilibrium dynamics of a long-range interacting system in contact with a heat bath. For sma…