Long-term relaxation of one-dimensional self-gravitating systems
Mathieu Roule, Jean-Baptiste Fouvry, Christophe Pichon, Pierre-Henri Chavanis
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.
Topics & Concepts
Term (time)Relaxation (psychology)DiffusionStatistical physicsKinetic energyPhysicsThermal equilibriumBlocking (statistics)Kinetic theoryClassical mechanicsThermodynamicsMathematicsQuantum mechanicsStatisticsPsychologySocial psychologyStatistical Mechanics and EntropyAdvanced Thermodynamics and Statistical MechanicsQuantum chaos and dynamical systems