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    The Zel'dovich approximation: key to understanding cosmic web complexity

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    Hidding_cosmic_web_complexity2013.pdf (22.35Mb)
    Issue Date
    2013-12-09
    Author
    Shandarin, Sergei F.
    Hidding, Johan
    Weygaert, Rien van de
    Publisher
    Oxford University Press
    Type
    Article
    Article Version
    Scholarly/refereed, publisher version
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    Abstract
    We describe how the dynamics of cosmic structure formation defines the intricate geometric structure of the spine of the cosmic web. The Zel'dovich approximation is used to model the backbone of the cosmic web in terms of its singularity structure. The description by Arnold et al. in terms of catastrophe theory forms the basis of our analysis. This two-dimensional analysis involves a profound assessment of the Lagrangian and Eulerian projections of the gravitationally evolving four-dimensional phase-space manifold. It involves the identification of the complete family of singularity classes, and the corresponding caustics that we see emerging as structure in Eulerian space evolves. In particular, as it is instrumental in outlining the spatial network of the cosmic web, we investigate the nature of spatial connections between these singularities. The major finding of our study is that all singularities are located on a set of lines in Lagrangian space. All dynamical processes related to the caustics are concentrated near these lines. We demonstrate and discuss extensively how all 2D singularities are to be found on these lines. When mapping this spatial pattern of lines to Eulerian space, we find a growing connectedness between initially disjoint lines, resulting in a percolating network. In other words, the lines form the blueprint for the global geometric evolution of the cosmic web.
    Description
    This is the published version. This article has been accepted for publication in Monthly Notices of the Royal Astronomical Society ©: 2013 Hidding et al. Published by Oxford University Press on behalf of the Royal Astronomical Society. All rights reserved.
    URI
    http://hdl.handle.net/1808/19326
    DOI
    https://doi.org/10.1093/mnras/stt2142
    Collections
    • Physics & Astronomy Scholarly Works [1715]
    Citation
    Hidding, J., S. F. Shandarin, and R. Van De Weygaert. "The Zel'dovich Approximation: Key to Understanding Cosmic Web Complexity." Monthly Notices of the Royal Astronomical Society 437.4 (2013): 3442-472. http://dx.doi.org/10.1093/mnras/stt2142

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    Contact KU ScholarWorks
    785-864-8983
    KU Libraries
    1425 Jayhawk Blvd
    Lawrence, KS 66045
    785-864-8983

    KU Libraries
    1425 Jayhawk Blvd
    Lawrence, KS 66045
    Image Credits
     

     

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