TY - JOUR
T1 - Probing large-scale structure using percolation and genus curves
AU - Sahni, Varun
AU - Sathyaprakash, B. S.
AU - Shandarin, Sergei F.
N1 - Funding Information:
Acknowledgments are due to the Smithsonian Institution for International travel assistance under the ongoing Indo-US exchange program at IUCAA, Pune, India. We thank Adrian Melott for useful discussions, and one of us (B. S. S.) would like to thank him and the Department of Physics and Astronomy, University of Kansas at Lawrence, where this work was initiated, for their hospitality. S. S. acknowledges NSF grant AST-9021414, NASA grant NAGW-3832, and the University of Kansas GRF-95 grant. B. S. S. would like to thank Kip Thorne for hospitality and encouragement, and acknowledges the California Institute of Technology NSF Grant AST-9417371.
PY - 1997
Y1 - 1997
N2 - 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.
AB - 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.
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U2 - 10.1086/310492
DO - 10.1086/310492
M3 - Article
AN - SCOPUS:4243837967
VL - 476
SP - L1-L5
JO - Astrophysical Journal
JF - Astrophysical Journal
SN - 0004-637X
IS - 1 PART II
ER -