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

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 c_w = 0.34 ± 0.16 and k_w = 0.98 ± 0.07, which are higher precision than (but in agreement with) earlier estimates.

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

Physics Letters B
Volume 718, Page 740
January 2013

DOI: 10.1016/j.physletb.2012.11.070
ADS Bibliographic code: 2012arXiv1206.6043L