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Title: The Helmholtz Hierarchy: phase space statistics of cold dark matter

Abstract

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.

Authors:
 [1]
  1. Center for Astrophysics, Harvard University, Cambridge, MA 02138 (United States)
Publication Date:
OSTI Identifier:
22280233
Resource Type:
Journal Article
Journal Name:
Journal of Cosmology and Astroparticle Physics
Additional Journal Information:
Journal Volume: 2011; Journal Issue: 10; Other Information: Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1475-7516
Country of Publication:
United States
Language:
English
Subject:
79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; APPROXIMATIONS; ASTROPHYSICS; CAUSALITY; COSMOLOGY; GRAVITATIONAL INTERACTIONS; NONLUMINOUS MATTER; PHASE SPACE; UNIVERSE

Citation Formats

Tassev, Svetlin V., E-mail: stassev@cfa.harvard.edu. The Helmholtz Hierarchy: phase space statistics of cold dark matter. United States: N. p., 2011. Web. doi:10.1088/1475-7516/2011/10/022.
Tassev, Svetlin V., E-mail: stassev@cfa.harvard.edu. The Helmholtz Hierarchy: phase space statistics of cold dark matter. United States. doi:10.1088/1475-7516/2011/10/022.
Tassev, Svetlin V., E-mail: stassev@cfa.harvard.edu. Sat . "The Helmholtz Hierarchy: phase space statistics of cold dark matter". United States. doi:10.1088/1475-7516/2011/10/022.
@article{osti_22280233,
title = {The Helmholtz Hierarchy: phase space statistics of cold dark matter},
author = {Tassev, Svetlin V., E-mail: stassev@cfa.harvard.edu},
abstractNote = {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.},
doi = {10.1088/1475-7516/2011/10/022},
journal = {Journal of Cosmology and Astroparticle Physics},
issn = {1475-7516},
number = 10,
volume = 2011,
place = {United States},
year = {2011},
month = {10}
}