507 citations · 8.4k across the 215 of their papers we have counts for
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Dynamical stability of systems with long-range interactions: application of the Nyquist method to the HMF model
P. H. Chavanis, L. Delfini
We apply the Nyquist method to the Hamiltonian Mean Field (HMF) model in order to settle the linear dynamical stability of a spatially homogeneous distribution function with respec…
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…
Statistics of the gravitational force in various dimensions of space: from Gaussian to Levy laws
Pierre-Henri Chavanis
We discuss the distribution of the gravitational force created by a Poissonian distribution of field sources (stars, galaxies,...) in different dimensions of space d. In d=3, it is…
Generalized Keller-Segel models of chemotaxis. Analogy with nonlinear mean field Fokker-Planck equations
Pierre-Henri Chavanis
We consider a generalized class of Keller-Segel models describing the chemotaxis of biological populations (bacteria, amoebae, endothelial cells, social insects,...). We show the a…
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…
Hamiltonian and Brownian systems with long-range interactions: V. Stochastic kinetic equations and theory of fluctuations
Pierre-Henri Chavanis
We develop a theory of fluctuations for Brownian systems with weak long-range interactions. For these systems, there exists a critical point separating a homogeneous phase from an…
Euler-like modelling of dense granular flows: application to a rotating drum
Daniel Bonamy, Pierre-Henri Chavanis, Pierre Philippe Cortet +3
General conservation equations are derived for 2D dense granular flows from the Euler equation within the Boussinesq approximation. In steady flows, the 2D fields of granular tempe…
Two-dimensional Brownian vortices
P. H. Chavanis
We introduce a stochastic model of two-dimensional Brownian vortices associated with the canonical ensemble. The point vortices evolve through their usual mutual advection but they…
Fluctuation-Dissipation Relations and statistical temperatures in a turbulent von Kármán flow
Romain Monchaux, Pierre-Philippe Cortet, Pierre-Henri Chavanis +4
We experimentally characterize the fluctuations of the non-homogeneous non-isotropic turbulence in an axisymmetric von Kármán flow. We show that these fluctuations satisfy relation…