Source of relaxation in the one-dimensional gravitating system

Details Source of relaxation in the one-dimensional gravitating system Source of relaxation in the one-dimensional gravitating system

May 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996phrve..53.4279m&link_type=abstract

Physical Review E (Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics), Volume 53, Issue 5, May 1996, pp

Physics

15

Stellar Dynamics And Kinematics, Origin, Formation, Evolution, Age, And Star Formation

Scientific paper

Recent numerical experiments suggest that the one-dimensional system consisting of N parallel mass sheets relaxes on two time scales: (1) a rapid violent phase with duration of order tc (a typical system crossing time) resulting in a stationary quasiequilibrium distribution, followed by (2) a gradual succession of quasiequilibrium states leading finally to thermal equilibrium. Each quasiequilibrium state is characterized by a stationary solution of the Vlasov equation within which fluctuations relax on a (microscopic) time scale on the order of αNtc with α~=1, while the final macroscopic evolution of quasiequilibrium states takes place in βNtc, with β~=104. The purpose of this paper is to demonstrate that both the microscopic and macroscopic relaxation time scales can be completely explained within the context of the diffusion model developed specifically for this system.

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