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Evolution of domain wall networks: the PRS algorithm
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Evolution of domain wall networks: the PRS algorithm
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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.
Forward citations
Cited by 2 Pith papers
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Fixing IR tail of gravitational waves from domain walls
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.
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Biased Domain Wall Networks and their Gravitational Waves
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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