Fokker-Planck-Rosenbluth-Type Equations for Self-gravitating Systems in 1PN Approximation

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dc.creatorRamos-Caro, Javier
dc.creatorGonzalez, Guillermo A.
dc.date2008-06-26
dc.date.accessioned2026-07-07T11:33:56Z
dc.date.available2026-07-07T11:33:56Z
dc.descriptionWe present two formulations of Fokker-Planck-Rosenbluth-type (FPR) equations for many-particle self-gravitating systems, with first order relativistic corrections in the post-Newtonian approach (1PN). The first starts from a covariant Fokker-Planck equation for a simple gas, introduced recently by G. Chacon-Acosta and G. Kremer (Phys. Rev. E 76, 021201, 2007). The second derivation is based on the establishment of an 1PN-BBGKY hierarchy, developed systematically from the 1PN microscopic law of force and using the Klimontovich-Dupree (KD) method. We close the hierarchy by the introduction of a two-point correlation function that describes adequately the relaxation process. This picture reveals an aspect that is not considered in the first formulation: the contribution of ternary correlation patterns to the diffusion coefficients, as a consequence of the nature of 1PN interaction. Both formulations can be considered as a generalization of the equation derived by Rezania and Sobouti (Astron. Astrophys. 54, 1110-1114, 2000), to stellar systems where the relativistic effects of gravitation play a significant role.
dc.identifierhttps://arxiv.org/abs/0806.4281
dc.identifierhttp://arxiv.org/abs/0806.4281
dc.identifierClass.Quant.Grav.25:045011,2008
dc.identifierdoi:10.1088/0264-9381/25/4/045011
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/198074
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleFokker-Planck-Rosenbluth-Type Equations for Self-gravitating Systems in 1PN Approximation
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