Characterization of Lyman Alpha Spectra and Predictions of Structure Formation Models: A Flux Statistics Approach

Abstract

In gravitational instability models, \lya absorption arises from a continuous fluctuating medium, so that spectra provide a non-linear one-dimensional ``map'' of the underlying density field. We characterise this continuous absorption using statistical measures applied to the distribution of absorbed flux. We describe two simple members of a family of statistics which we apply to simulated spectra in order to show their sensitivity as probes of cosmological parameters (H$_{0}$, $\Omega$, the initial power spectrum of matter fluctuations) and the physical state of the IGM. We make use of SPH simulation results to test the flux statistics, as well as presenting a preliminary application to Keck HIRES data.Comment: Contribution to proceedings of the 18th Texas Symposium on Relativistic Astrophysics (eds A. Olinto, J. Frieman and D. Schramm, World Scientific),Chicago, December 1996, 3 pages, LaTeX (sprocl), 2 figures. Also available at http://www-astronomy.mps.ohio-state.edu/~racc