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Landau equation for self-gravitating classical and quantum particles: Application to dark matter
Pierre-Henri Chavanis
We develop the kinetic theory of classical and quantum particles (fermions and bosons) in gravitational interaction. The kinetic theory of quantum particles may have applications i…
Jeans mass-radius relation of self-gravitating Bose-Einstein condensates and typical parameters of the dark matter particle
Pierre-Henri Chavanis
We study the Jeans mass-radius relation of Bose-Einstein condensate dark matter in Newtonian gravity. We show at a general level that it is similar to the mass-radius relation of B…
Kinetic theory of one-dimensional homogeneous long-range interacting systems with an arbitrary potential of interaction
Jean-Baptiste Fouvry, Pierre-Henri Chavanis, Christophe Pichon
Finite- effects unavoidably drive the long-term evolution of long-range interacting -body systems. The Balescu-Lenard kinetic equation generically describes this process sour…
Quantum tunneling rate of dilute axion stars close to the maximum mass
Pierre-Henri Chavanis
We compute the quantum tunneling rate of dilute axion stars close to the maximum mass [P.H. Chavanis, Phys. Rev. D {\bf 84}, 043531 (2011)] using the theory of instantons. We confi…