Predictions of Mixed Non‐Gaussian Cosmological Density Fields for the Cosmic Microwave Background Radiation

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Abstract
We present simulations of the Cosmic Microwave Background Radiation (CMBR) power spectrum for a class of mixed, non-Gaussian, primordial random fields. We assume a skew positive mixed model with adiabatic inflation perturbations plus additional isocurvature perturbations possibly produced by topological defects. The joint probability distribution used in this context is a weighted combination of Gaussian and non-Gaussian random fields, such as: P(delta) = (1-alpha)f_{1}(delta) + alpha*f_{2}(delta), where f_{1}(delta) is a Gaussian distribution, f_{2}(delta) is a non-Gaussian general distribution, and alpha is a scale dependent mixture parameter. Results from simulations of CMBR temperature and polarisation power spectra show a distinct signature for very small deviations (~ 0.1%) from a pure Gaussian field. We discuss the main properties of such mixed models as well, their predictions and suggestions on how to apply them to small scale CMBR observations. A reduced chi^2 test shows that the contribution of an isocurvature fluctuation field is not ruled out in actual CMB observations, even in WMAP first-year sky map.Comment: 28 pages, 13 PostScript figures, aas style. Accepted for publication in the ApJ (Feb 2004). Version accepted by the ApJ can be found in http://www.das.inpe.br/~alex/papers.html, just clicking in the paper's nam
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