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Kinetic theory of collisionless relaxation for systems with long-range interactions
Pierre-Henri Chavanis
We develop the kinetic theory of collisionless relaxation for systems with long-range interactions in relation to the statistical theory of Lynden-Bell. We treat the multi-level ca…
Predictive model of fermionic dark matter halos with a quantum core and an isothermal atmosphere
Pierre-Henri Chavanis
We develop a thermodynamical model of fermionic dark matter halos at finite temperature. Statistical equilibrium states may be justified by a process of violent collisionless relax…
The self-gravitating Fermi gas in Newtonian gravity and general relativity
Pierre-Henri Chavanis
We review the history of the self-gravitating Fermi gas in Newtonian gravity and general relativity. We mention applications to white dwarfs, neutron stars and dark matter halos. W…
Generalized Logotropic Models and their Cosmological Constraints
Hachemi B. Benaoum, Pierre-Henri Chavanis, Hernando Quevedo
We propose a new class of cosmological unified dark sector models called "{\em Generalized Logotropic Models}". They depend on a free parameter . The original logotropic model […
Cosmological models based on a complex scalar field with a power-law potential associated with a polytropic equation of state
Pierre-Henri Chavanis
We construct cosmological models based on a complex scalar field with a power-law potential associated with a polytropic equation of…
Orbital alignment and mass segregation in galactic nuclei via vector resonant relaxation
Nathan Magnan, Jean-Baptiste Fouvry, Christophe Pichon +1
Supermassive black holes dominate the gravitational potential in galactic nuclei. In these dense environments, stars follow nearly Keplerian orbits and see their orbital planes rel…
Self-gravitating clusters of Fermi-Dirac gas with planar, cylindrical, or spherical symmetry: evolution of density profiles with temperature
Michael Kirejczyk, Gerhard Müller, Pierre-Henri Chavanis
We calculate density profiles for self-gravitating clusters of an ideal Fermi-Dirac gas with nonrelativistic energy-momentum relation and macroscopic mass at thermal equilibrium. O…
Self-gravitating clusters of Bose-Einstein gas with planar, cylindrical, or spherical symmetry: gaseous density profiles and onset of condensation
Michael Kirejczyk, Gerhard Müller, Pierre-Henri Chavanis
We calculate density profiles for self-gravitating clusters of an ideal Bose-Einstein gas with nonrelativistic energy-momentum relation and macroscopic mass at thermal equilibrium.…
K-essence Lagrangians of polytropic and logotropic unified dark matter and dark energy models
Pierre-Henri Chavanis
We determine the k-essence Lagrangian of a relativistic barotropic fluid. The equation of state of the fluid can be specified in different manners depending on whether the pressure…
Hydrodynamic representation and Energy Balance for Dirac and Weyl fermions in curved space-times
Tonatiuh Matos, Omar Gallegos, Pierre-Henri Chavanis
Using a generalized Madelung transformation, we derive the hydrodynamic representation of the Dirac equation in arbitrary curved space-times coupled to an electromagnetic field. We…
A heuristic wave equation parameterizing BEC dark matter halos with a quantum core and an isothermal atmosphere
Pierre-Henri Chavanis
The Gross-Pitaevskii-Poisson equations that govern the evolution of self-gravitating Bose-Einstein condensates, possibly representing dark matter halos, experience a process of gra…