A Solvable Model for Anharmonic Evolution of Cosmic Axion Overdensitites
Karl Strobl, Thomas J. Weiler
Abstract
We present analytic solutions to the spatially homogeneous axion field equation, using a model potential which strongly resembles the (1- θ) standard anharmonic potential. We find that the anharmonicity amplifies early universe axion density fluctuations, but only significantly so for relatively large initial misalignment angles. Enhancements of (2,3,4,13) result for θ in (0.85,0.90,0.95,0.99)×π. The large θ result agrees with Lyth, and so validates his approximations.
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