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Jeans type instability of a complex self-interacting scalar field in general relativity
Abril Suárez, Pierre-Henri Chavanis
We study the gravitational instability of a general relativistic complex scalar field with a quartic self-interaction in an infinite homogeneous static background. This quantum rel…
Phase transitions between dilute and dense axion stars
Pierre-Henri Chavanis
We study the nature of phase transitions between dilute and dense axion stars interpreted as self-gravitating Bose-Einstein condensates. We develop a Newtonian model based on the G…
Dressed diffusion and friction coefficients in inhomogeneous multicomponent self-gravitating systems
Jean Heyvaerts, Jean-Baptiste Fouvry, Pierre-Henri Chavanis +1
General self-consistent expressions for the coefficients of diffusion and dynamical friction in a stable, bound, multicomponent self-gravitating and inhomogeneous system are derive…
Derivation of a generalized Schrödinger equation for dark matter halos from the theory of scale relativity
Pierre-Henri Chavanis
Using Nottale's theory of scale relativity, we derive a generalized Schrödinger equation applying to dark matter halos. This equation involves a logarithmic nonlinearity associated…
The secular evolution of discrete quasi-Keplerian systems. II. Application to a multi-mass axisymmetric disc around a supermassive black hole
Jean-Baptiste Fouvry, Christophe Pichon, Pierre-Henri Chavanis
The drift and diffusion coefficients of the inhomogeneous multi-mass degenerate Landau equation are computed to describe the self-induced resonant relaxation of a discrete self-gra…