Statistical Mechanics of a Collisionless System Based on the Maximum Entropy Principle

Details Statistical Mechanics of a Collisionless System Based on the Maximum Entropy Principle Statistical Mechanics of a Collisionless System Based on the Maximum Entropy Principle

Mar 2000

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000apj...531..739n&link_type=abstract

The Astrophysical Journal, Volume 531, Issue 2, pp. 739-743.

Astronomy and Astrophysics

Astronomy

31

Galaxies: Evolution, Galaxies: Kinematics And Dynamics, Plasmas

Scientific paper

The statistical equilibrium state of a collisionless system has been derived based on the maximum entropy principle. The result shows that the equilibrium distribution function is a Gaussian distribution in the nondegenerate limit. This result contradicts the Lynden-Bell statistics, which predict a superposition of Fermi distributions as the equilibrium distribution. It is shown that the Lynden-Bell statistics are equivalent to maximizing the entropy calculated from the probability of particle transition, whereas the probability of particle existence should be used to obtain the correct answer.

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