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• W2010671949 abstract "A fully stochastic theory is formulated for the dynamical evolution of a gravitationally interacting stellar system. A given test star is assumed to experience a self-consistent mean field potential, and in addition to be subjected to random fluctuations. The general theory of random (Markoff) processes is briefly summarised, with emphasis upon the connections among the various fundamental equations: Kolmogorov-Feller, master, and Fokker-Planck. In a first approximation, fluctuations may be viewed as a sum of random binary encounters in the spirit of the Boltzmann H-theorem. The advantages and difficulties of such a viewpoint are discussed. The full stochastic picture is then addressed. The nature of the stochastic force acting upon a test star is examined in detail, and an heuristic interpretation is discussed. A calculation is presented of the relative contribution to the total force resulting from field stars separated by a distance R from some origin. The effects of fluctuations are then discussed in a diffusion approximation as an application of the theory of the Brownian motion. The question of the actual validity of this self-consistent mean field picture is then discussed, and several of the more significant unresolved problems are stated." @default.
• W2010671949 created "2016-06-24" @default.
• W2010671949 creator A5045226537 @default.
• W2010671949 date "1980-07-01" @default.
• W2010671949 modified "2023-09-27" @default.
• W2010671949 title "Stochastic gravitational fluctuations in a self-consistent mean field theory" @default.
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• W2010671949 doi "https://doi.org/10.1016/0370-1573(80)90015-0" @default.
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