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The HMF model for fermions and bosons
Pierre-Henri Chavanis
We study the thermodynamics of quantum particles with long-range interactions at T=0. Specifically, we generalize the Hamiltonian Mean Field (HMF) model to the case of fermions and…
Out-of-equilibrium phase transitions in the HMF model: a closer look
F. Staniscia, P. H. Chavanis, G. De Ninno
We provide a detailed discussion of out-of-equilibrium phase transitions in the Hamiltonian Mean Field (HMF) model in the framework of Lynden-Bell's statistical theory of the Vlaso…
Thermodynamics of the HMF model with a magnetic field
Pierre-Henri Chavanis
We study the thermodynamics of the Hamiltonian Mean Field (HMF) model with an external potential playing the role of a "magnetic field". If we consider only fully stable states, th…
Noise-induced dynamical phase transitions in long-range systems
Pierre-Henri Chavanis, Fulvio Baldovin, Enzo Orlandini
In the thermodynamic limit, the time evolution of isolated long-range interacting systems is properly described by the Vlasov equation. This equation admits non-equilibrium dynamic…
Exact analytical solution of the collapse of self-gravitating Brownian particles and bacterial populations at zero temperature
Pierre-Henri Chavanis, Clément Sire
We provide an exact analytical solution of the collapse dynamics of self-gravitating Brownian particles and bacterial populations at zero temperature. These systems are described b…
Brownian particles with long and short range interactions
Pierre-Henri Chavanis
We develop a kinetic theory of Brownian particles with long and short range interactions. We consider both overdamped and inertial models. In the overdamped limit, the evolution of…