Threshold Clustering Functions and Thermal Inhomogeneities in the Lyman-Alpha Forest

Details Threshold Clustering Functions and Thermal Inhomogeneities in the Lyman-Alpha Forest Threshold Clustering Functions and Thermal Inhomogeneities in the Lyman-Alpha Forest

Jan 2011

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2011aas...21741203l&link_type=abstract

American Astronomical Society, AAS Meeting #217, #412.03; Bulletin of the American Astronomical Society, Vol. 43, 2011

Mathematics

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Scientific paper

We introduce to astrophysics the threshold clustering function S2 first derived by Torquato et al. (1988), which effectively samples the flux probability distribution (PDF) of the Lyα forest at different spatial scales. These statistics are tested on mock Lyα forest spectra based on various toy models for He II reionization, with homogeneous models with various temperature-density relations as well as inhomogeneous models with temperature differences of 10,000K and different equations of state T Δ(γ-1). These mock samples have systematics and noise added to simulate the latest Sloan Digital Sky Survey Data Release 7 (SDSS DR7) data. The traditional flux PDF is degenerate to temperature inhomogeneities in the IGM arising from He II reionization, but we find S2 can detect these inhomogeneities at 5σ, with the assumption that the flux continuum of the Lyα forest can be determined to 10% accuracy, approximately the error from current fitting methods. If the flux continuum can be determined to 3% accuracy, then S2 is capable of constraining the characteristic scale of temperature inhomogeneities, with 4σ differentiation between toy models with hot bubble radii of 50 Mpc/h and 100 Mpc/h.

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