Relaxation of collisionless self-gravitating matter - The lowest energy state for systems with non-vanishing total angular momentum

Statistics – Computation

Scientific paper

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Angular Momentum, Computational Astrophysics, Gravitational Effects, Distribution Functions, Poisson Equation, Potential Energy

Scientific paper

Given an arbitrary initial distribution function of a collisionless self-gravitating system, consideration is given to the problem of how to construct the lowest energy state that is accessible under the constraints of conservation of phase-space density and total angular momentum. The energy difference between the initial state and the lowest energy state has to be converted from nonequilibrium energy into equilibrium energy by phase-mixing. Upper and lower bounds for that energy are determined, considering systems with nonvanishing total angular momentum.

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