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Scaling in Numerical Simulations of Domain Walls

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arxiv hep-ph/0212359 v1 pith:KKJOL3KL submitted 2002-12-24 hep-ph

Theodore Garagounis (Sussex) , Mark Hindmarsh (Sussex) This is my paper
classification hep-ph
keywords networksscalingdomainevolutionnumericalsimulationsstringwall
verification ladder T0 review T1 audit T2 compute T3 formal
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We study the evolution of domain wall networks appearing after phase transitions in the early Universe. They exhibit interesting dynamical scaling behaviour which is not yet well understood, and are also simple models for the more phenomenologically acceptable string networks. We have run numerical simulations in two- and three-dimensional lattices of sizes up to 4096^3. The theoretically predicted scaling solution for the wall area density A ~ 1/t is supported by the simulation results, while no evidence of a logarithmic correction reported in previous studies could be found. The energy loss mechanism appears to be direct radiation, rather than the formation and collapse of closed loops or spheres. We discuss the implications for the evolution of string networks.

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Cited by 3 Pith papers

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

  1. Dynamical criterion for biased domain-wall formation

    hep-ph 2026-06 unverdicted novelty 6.0 of 10

    Derives dynamical criterion for biased domain wall formation by evaluating p_fv at freeze-out temperature T_fo, producing stricter condition than conventional static threshold and consistency condition T_fo > T_ann.

  2. A Non-Holomorphic Modular $A_4$ Framework for Resonant Leptogenesis with Gravitational Wave Signatures

    hep-ph 2026-07 conditional novelty 5.0 of 10

    A non-holomorphic modular A4 seesaw model yields quasi-degenerate right-handed neutrinos, enabling resonant leptogenesis at ~10^6 GeV and a double-peaked gravitational-wave signature.

  3. 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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