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Probing large-scale structure using percolation and genus curves

Sahni, Varun, Sathyaprakash, Bangalore Suryanarayana and Shandarin, Sergei F. 1997. Probing large-scale structure using percolation and genus curves. Astrophysical Journal Letters 476 (1) , L1-L5. 10.1086/310492

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We study topological properties of large-scale structure in a set of scale-free N-body simulations using the genus and percolation curves as topological characteristics. Our results show that as gravitational clustering advances, the density field shows an increasingly pronounced departure from Gaussian reflected in the changing shape of the percolation curve as well as the changing amplitude and shape of the genus curve. Both genus and percolation curves differentiate between the connectedness of overdense and underdense regions if plotted against the density. When plotted against the filling factor, the percolation curve alone retains this property. The genus curve shows a pronounced decrease in amplitude caused by phase correlations in the nonlinear regime. Both genus and percolation curves provide complementary probes of large-scale structure topology, and can be used to discriminate between models of structure formation and the analysis of observational data, such as galaxy catalogs and microwave background radiation maps.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Physics and Astronomy
Subjects: Q Science > QB Astronomy
Publisher: Institute of Physics
ISSN: 2041-8205
Last Modified: 04 Jun 2017 04:52

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