Accurate calibration of the velocity-dependent one-scale model for domain walls |
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Authors: | A.M.M. Leite C.J.A.P. Martins E.P.S. Shellard |
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Affiliation: | 1. Centro de Astrofísica, Universidade do Porto, Rua das Estrelas, 4150-762 Porto, Portugal;2. École Polytechnique, 91128 Palaiseau Cedex, France;3. Department of Applied Mathematics and Theoretical Physics, Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, United Kingdom |
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Abstract: | We study the asymptotic scaling properties of standard domain wall networks in several cosmological epochs. We carry out the largest field theory simulations achieved to date, with simulation boxes of size 20483, and confirm that a scale-invariant evolution of the network is indeed the attractor solution. The simulations are also used to obtain an accurate calibration for the velocity-dependent one-scale model for domain walls: we numerically determine the two free model parameters to have the values cw=0.34±0.16 and kw=0.98±0.07, which are of higher precision than (but in agreement with) earlier estimates. |
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Keywords: | Cosmology Topological defects Domain walls Numerical simulation VOS model |
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