The Helmholtz Hierarchy: Phase Space Statistics of Cold Dark Matter

Details The Helmholtz Hierarchy: Phase Space Statistics of Cold Dark Matter The Helmholtz Hierarchy: Phase Space Statistics of Cold Dark Matter

2010-12-01

arxiv.org/abs/1012.0282v2

JCAP10(2011)022

Astronomy and Astrophysics

Astrophysics

Cosmology and Extragalactic Astrophysics

43 pages; added sections 7 and 8, which include interpretation as particle trajectories

Scientific paper

10.1088/1475-7516/2011/10/022

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.

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