The Helmholtz Hierarchy: phase space statistics of cold dark matter

Journal Article · Sat Oct 01 00:00:00 EDT 2011 · Journal of Cosmology and Astroparticle Physics

DOI:https://doi.org/10.1088/1475-7516/2011/10/022· OSTI ID:22280233

Tassev, Svetlin V., E-mail: [e-mail] ^[1]

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1. Center for Astrophysics, Harvard University, Cambridge, MA 02138 (United States)

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.

• OSTI ID: 22280233
• Journal Information: Journal of Cosmology and Astroparticle Physics, Vol. 2011, Issue 10; Other Information: Country of input: International Atomic Energy Agency (IAEA); ISSN 1475-7516
• Country of Publication: United States
• Language: English

Related Subjects

79 ASTROPHYSICS
COSMOLOGY AND ASTRONOMY
APPROXIMATIONS
ASTROPHYSICS
CAUSALITY
COSMOLOGY
GRAVITATIONAL INTERACTIONS
NONLUMINOUS MATTER
PHASE SPACE
UNIVERSE