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Evolution of domain wall networks: the PRS algorithm

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arxiv 1101.3350 v1 pith:WM3ZNI7W submitted 2011-01-17 hep-th astro-ph.COgr-qchep-ph

classification hep-thastro-ph.COgr-qchep-ph
keywords domainalgorithmwallalphabetaevolutionnetworksnumerical
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

The Press-Ryden-Spergel (PRS) algorithm is a modification to the field theory equations of motion, parametrized by two parameters ($\alpha$ and $\beta$), implemented in numerical simulations of cosmological domain wall networks, in order to ensure a fixed comoving resolution. In this paper we explicitly demonstrate that the PRS algorithm provides the correct domain wall dynamics in $N+1$-dimensional Friedmann-Robertson-Walker (FRW) universes if $\alpha+\beta/2=N$, fully validating its use in numerical studies of cosmic domain evolution. We further show that this result is valid for generic thin featureless domain walls, independently of the Lagrangian of the model.

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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. Fixing IR tail of gravitational waves from domain walls

    gr-qc 2026-07 conditional novelty 6.0 of 10

    Per-mode time averaging after source shutdown removes nonphysical IR wiggles in simulated GW spectra from domain walls; PRS scaling yields incorrect spectra even with rescaled sources.

  2. Biased Domain Wall Networks and their Gravitational Waves

    astro-ph.CO 2026-07 conditional novelty 6.0 of 10

    Population-biased domain wall networks annihilate at T_ann ~ T_s B_s^0.8 and emit a single-broken-power-law gravitational-wave spectrum peaking near twice the Hubble scale.

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