Maximum entropy distributions of velocity, speed, and energy from statistical mechanics of dark matter flow
- Xu, Zhijie (Jay)
DOIAbstract
Maximum entropy distributions of velocity, speed, and energy from statistical mechanics of dark matter flow 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 \(-2<n<0\) (long-range interaction with \(n=-1\) for gravity), a broad spectrum of halos and halo groups are necessary to form from inve...
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