Nonlinear Effects on Cosmological Perturbations - Part Two - the Production of Isothermal Perturbations by a Primordial Sound Spectrum

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Scientific paper

In a previous paper it was claimed that dust, viscously coupled to a background gas undergoing random compressional motion, will cluster secularly. This process was named Purcell clustering. It was suggested that the analogous process in the early universe, the production of isothermal perturbations from adiabatic perturbations, might provide a means for producing a spectrum of isothermal perturbations even if such perturbations were disallowed at t=0. In this paper the exact rate of clustering is calculated for the case of dust suspended in an ideal gas and for baryons in the early universe. In addition, computer calculations of the production of isothermal perturbations in the early universe are presented. These suggest that it may be extremely difficult to produce significant isothermal perturbations by Purcell clustering.

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