Discreteness fluctuations and relaxation in stellar dynamical systems

Statistics – Computation

Scientific paper

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Computational Astrophysics, Stellar Motions, Stellar Systems, Gravitational Effects, Kinetic Equations, Perturbation Theory

Scientific paper

This paper analyzes perturbatively the effects of interstellar 'collisions' as discreteness fluctuations described by a collisionless Boltzmann equation, deriving from this collisionless equation a generalized Landau equation which, for the special case of an infinite and inhomogeneous system, reduces to the standard Landau, or Fokker-Planck, equation of collisional stellar dynamics. This alternative derivation is useful in that it circumvents the notion of binary encounters (anathema for a long-range interaction like gravity) without recourse to a many-particle phase space description; but by viewing discreteness effects as only one possible type of fluctuation, it facilitates the conjecture that other sorts of fluctuations could also induce systematic evolutionary effects.

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