Abstract:
The halo-mediated inverse cascade is a key feature of the intermediate
statistically steady state for self-gravitating collisionless dark matter flow
(SG-CFD). How the inverse mass and energy cascade maximize system entropy and
develop limiting velocity/energy distributions are fundamental questions to
answer. We present a statistical theory concerning the maximum entropy
distributions of velocity, speed, and energy for system involving a power-law
interaction with an arbitrary exponent $n$. For $-2
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