Affiliation:
1. Laboratoire de Physique Théorique, Université de Toulouse, CNRS, UPS, 31062 Toulouse, France
Abstract
The secular dressed diffusion equation describes the long-term evolution of collisionless systems of particles with long-range interactions, such as self-gravitating systems submitted to a weak external stochastic perturbation. We successively consider nonrotating spatially homogeneous systems, rotating spatially homogeneous systems, and spatially inhomogeneous systems. We contrast the secular dressed diffusion equation applying to collisionless systems perturbed by an externally imposed stochastic field from the Lenard–Balescu equation applying to isolated systems evolving because of discreteness effects (“collisions”). We discuss the connection between these two equations when the external noise is produced by a random distribution of field particles.
Subject
General Physics and Astronomy
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