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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

classification hep-ph
keywords networksscalingdomainevolutionnumericalsimulationsstringwall
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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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Forward citations

Cited by 8 Pith papers

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

  1. DW-genesis: baryon number from domain wall network collapse

    hep-ph 2024-11 conditional novelty 7.0 of 10

    Collapsing axionic domain walls can produce the baryon asymmetry via spontaneous baryogenesis, with a maximum yield set by the annihilation temperature, but minimal post-inflationary realisations suffer a suppression ...

  2. 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.

  3. QCD Axion Domain Walls from Super-Cooling First Order Phase Transition

    hep-ph 2025-06 conditional novelty 6.0 of 10

    A supercooled first-order phase transition near the QCD scale can briefly set the QCD axion into mini kinetic misalignment and, through bubble inhomogeneities, produce axion domain walls even without cosmic strings.

  4. Collapsing domain walls with $\mathbb{Z}_2$-violating coupling to thermalized fermions and their impact on gravitational wave detections

    hep-ph 2025-01 conditional novelty 6.0 of 10

    Thermal corrections from a Z2-violating Yukawa coupling alter domain-wall annihilation temperatures and can change predicted gravitational wave spectra by orders of magnitude.

  5. Minimal Electroweak Baryogenesis via Domain Walls

    hep-ph 2024-12 conditional novelty 6.0 of 10

    Domain wall cores in the minimal Z2-symmetric singlet extension can restore electroweak symmetry and, while sweeping through space, could produce the matter-antimatter asymmetry in a parameter region far lighter and m...

  6. 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.

  7. 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.

  8. DW-genesis: generating the baryon number from domain walls

    hep-ph 2024-12 conditional novelty 4.0 of 10

    Axionic domain walls coupled to lepton number can generate the baryon asymmetry through spontaneous baryogenesis at collapse, but the associated gravitational wave signal is too faint for planned detectors.

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