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Accurate Calibration of the Velocity-dependent One-scale Model for Domain Walls

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arxiv 1206.6043 v2 pith:REOTH6B4 submitted 2012-06-26 hep-ph hep-th

A. M. M. Leite , C. J. A. P. Martins , E. P. S. Shellard This is my paper · ORCID
classification hep-phhep-th
keywords domainmodelaccuratecalibrationone-scalesimulationsvelocity-dependentwalls
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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 $c_w = 0.34\pm0.16$ and $k_w = 0.98\pm0.07$, which are higher precision than (but in agreement with) earlier estimates.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Domain walls through different cosmologies

    astro-ph.CO 2026-07 accept novelty 6.5 of 10

    Domain-wall network area scales as S ≈ 2ξV/τ with ξ≈1.2 across cosmologies from dust to near-Minkowski, so the particle horizon—not H⁻¹—sets the correlation length and GW peak.

  2. About electroweak domain walls in Majoron models

    hep-ph 2025-06 conditional novelty 5.0 of 10

    Electroweak instantons alone do not produce Majoron domain walls; a tiny instanton mass from B+L breaking is cosmologically negligible and can act as a bias or dark energy.

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