Friday, October 21, 2011

1012.0282 (Svetlin Tassev)

The Helmholtz Hierarchy: Phase Space Statistics of Cold Dark Matter    [PDF]

Svetlin Tassev
We present a new formalism to study large-scale structure in the universe. The result is a hierarchy (which we call the "Helmholtz Hierarchy") of equations describing the phase space statistics of cold dark matter (CDM). The hierarchy features a physical ordering parameter which interpolates between the Zel'dovich approximation and fully-fledged gravitational interactions. The results incorporate the effects of stream crossing. We show that the Helmholtz hierarchy is self-consistent and obeys causality to all orders. We present an interpretation of the hierarchy in terms of effective particle trajectories.
View original: http://arxiv.org/abs/1012.0282

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