Evolution of domain wall networks: The Press-Ryden-Spergel algorithm

Journal Article · Thu Apr 15 00:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.81.087305· OSTI ID:21409677

Sousa, L; Avelino, P P ^[1]

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1. Centro de Fisica do Porto, Rua do Campo Alegre 687, 4169-007 Porto (Portugal)

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 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.

• OSTI ID: 21409677
• Journal Information: Physical Review. D, Particles Fields, Vol. 81, Issue 8; Other Information: DOI: 10.1103/PhysRevD.81.087305; (c) 2010 The American Physical Society; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGORITHMS
COMPUTERIZED SIMULATION
EQUATIONS OF MOTION
EVOLUTION
FIELD THEORIES
LAGRANGIAN FUNCTION
MANY-DIMENSIONAL CALCULATIONS
MODIFICATIONS
NUMERICAL ANALYSIS
RESOLUTION
UNIVERSE
DIFFERENTIAL EQUATIONS
EQUATIONS
FUNCTIONS
MATHEMATICAL LOGIC
MATHEMATICS
PARTIAL DIFFERENTIAL EQUATIONS
SIMULATION