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Accurate calibration of the velocity-dependent one-scale model for domain walls

A. M. M. Leite, C. J. A. P. Martins, E. P. S. Shellard

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 higher precision than (but in agreement with) earlier estimates.

Cosmology, Topological Defects, Domain walls, Numerical simulation, VOS model

Physics Letters B
Volume 718, Number 3, Page 740
2013 January

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Faculdade de Ciências da Universidade de Lisboa Universidade do Porto Faculdade de Ciências e Tecnologia da Universidade de Coimbra
Fundação para a Ciência e a Tecnologia COMPETE 2020 PORTUGAL 2020 União Europeia