Evolution of domain wall networks: the PRS algorithm

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.

4 pages

References in corpus (11)

• Dark Energy and the Accelerating Universe
• Dynamics of domain wall networks with junctions
• Frustrated Expectations: Defect Networks and Dark Energy
• Defect Junctions and Domain Wall Dynamics
• Rigidity and stability of cold dark solid universe model
• Scaling of cosmological domain wall networks with junctions
• Scaling Dynamics of Domain Walls in the Cubic Anisotropy Model
• Elastic properties of anisotropic domain wall lattices
• Stability of winding cosmic wall lattices with X type junctions
• The role of domain wall junctions in Carter's pentahedral model
• p-brane dynamics in N+1-dimensional FRW universes

Cited by in corpus (14)

• On the estimation of gravitational wave spectrum from cosmic domain walls
• Stochastic Gravitational Wave Background generated by Cosmic String Networks: Velocity-Dependent One-Scale model versus Scale-Invariant Evolution
• Scaling Properties of Domain Wall Networks
• Contribution of domain wall networks to the CMB power spectrum
• Cosmic Microwave Background anisotropies generated by domain wall networks
• p-brane dynamics in (N+1)-dimensional FRW universes: a unified framework
• Localized D-dimensional global k-defects
• Domain wall network evolution in (N+1)-dimensional FRW universes
• Observational Constraints on Varying-alpha Domain Walls
• Unified paradigm for interface dynamics
• Exact solutions of domain wall junctions in arbitrary dimensions
• Parameter-free velocity-dependent one-scale model for domain walls
• Phantom Domain Walls
• Dynamics of $Z_N$ domain walls with bias directions