Dynamical theory of collisionless relaxation

Details Dynamical theory of collisionless relaxation Dynamical theory of collisionless relaxation

Oct 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980ap%26ss..72..293s&link_type=abstract

Astrophysics and Space Science, vol. 72, no. 2, Oct. 1980, p. 293-313.

Astronomy and Astrophysics

Astrophysics

26

Astrophysics, Collision Parameters, Dynamic Models, Gravitational Effects, Relaxation (Mechanics), Boltzmann Transport Equation, Correlation, Integral Equations, Kinetic Equations, Vlasov Equations

Scientific paper

An explicit dynamical theory of collisionless relaxation is presented of the Lynden-Bell (1967) theory of collisionless gravitational systems. The analysis is based on the coarse-graining in phase space of the collisionless Boltzmann equation, with the mesh size determined by the precision of observational data. A kinetic equation is derived which contains an integral different from the classical Fokker-Planck type by the appearance of the products of three distribution functions. The expression leads to the Lynden-Bell equilibrium state on a time scale inversely proportional to the coarse-graining mesh; in the nondegenerate limit, the expression leads to fine-grained phase density.

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