Long-term relaxation of $1D$ self-gravitating systems

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 $\sim 10$. 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 quasi kinetic blocking for the same equilibrium.

12 pages, 11 figures, submitted to APS

References in corpus (5)

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• Relaxation of a 1-D gravitational system
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Cited by in corpus (3)

• Simulating generalised fluids via interacting wave packets evolution
• On the long-term evolution of razor-thin galactic discs: Balescu-Lenard prediction and perspectives
• Linear response of rotating and flattened stellar clusters: the oblate Kuzmin-Kutuzov Stäckel family