Long-term relaxation of one-dimensional self-gravitating systems.

Roule, Mathieu; Fouvry, Jean-Baptiste; Pichon, Christophe; Chavanis, Pierre-Henri · Phys Rev E · 2022

basic_science · Level V

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Abstract

We investigate the long-term relaxation of one-dimensional (1D) self-gravitating systems, using both kinetic theory and N-body simulations. We consider thermal and Plummer equilibria, with and without collective effects. All combinations are found to be in clear agreement with respect to the Balescu-Lenard and Landau predictions for the diffusion coefficients. Interestingly, collective effects reduce the diffusion by a factor ∼10. The predicted flux for Plummer equilibrium matches the measured one, which is a remarkable validation of kinetic theory. We also report on a situation of quasikinetic blocking for the same equilibrium.