Scaling in Numerical Simulations of Domain Walls

Abstract

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.

7pp RevTeX, 9 eps files (including six 220kB ones)

References in corpus (1)

• Level Set Method for the Evolution of Defect and Brane Networks

Cited by in corpus (64)

• Axion dark matter from topological defects
• On the estimation of gravitational wave spectrum from cosmic domain walls
• A review of gravitational waves from cosmic domain walls
• Electroweak Baryogenesis in Non-minimal Composite Higgs Models
• Gravitational Waves from Collapsing Domain Walls
• Scaling from gauge and scalar radiation in Abelian Higgs string networks
• Evolution of String-Wall Networks and Axionic Domain Wall Problem
• One-scale Model for Domain Wall Network Evolution
• The Cosmological Evolution of Domain Wall Networks
• Kilobyte Cosmic Birefringence from ALP Domain Walls
• Study of gravitational radiation from cosmic domain walls
• Scaling Properties of Domain Wall Networks
• Overproduction of cosmic superstrings
• Stability of domain wall network with initial inflationary fluctuations, and its implications for cosmic birefringence
• Oscillons and Domain Walls
• Low-cost fermions in classical field simulations
• Gravitational shine of dark domain walls
• Power spectrum of domain-wall network and its implications for isotropic and anisotropic cosmic birefringence
• Accurate Calibration of the Velocity-dependent One-scale Model for Domain Walls
• P not PQ
• Optical Atomic Clock aboard an Earth-orbiting Space Station (OACESS): Enhancing searches for physics beyond the standard model in space
• Beyond freeze-in: Dark Matter via inverse phase transition and gravitational wave signal
• Understanding Domain Wall Network Evolution
• Gravitational waves from domain walls and their implications
• Friction on ALP domain walls and gravitational waves
• Gravitational waves from domain walls in the next-to-minimal supersymmetric standard model
• New bounds on macroscopic scalar-field topological defects from non-transient signatures due to environmental dependence and spatial variations of the fundamental constants
• Axion domain wall baryogenesis
• Multiscaling analysis of ferroelectric domain wall roughness
• Domain walls coupled to matter: the symmetron example
• Renormalised nonequilibrium quantum field theory: scalar fields
• Stability of domain walls in models with asymmetric potentials
• Domain Wall Constraints on Two Higgs Doublet Models with $Z_2$ Symmetry
• Revisiting evolution of domain walls and their gravitational radiation with CosmoLattice
• Semiclassical decay of topological defects
• Gravitational waves from Higgs domain walls
• Scaling Dynamics of Domain Walls in the Cubic Anisotropy Model
• On formation of domain wall lattices
• Entropy production by domain wall decay in the NMSSM
• Collapsing domain walls beyond $Z_2$
• Runaway Domain Wall and Space-time Varying alpha
• Detecting Domain Walls in Laboratory Experiments
• Photon Mixing in Domain Walls and the Cosmic Coincidence Problem
• Cosmological Perturbations of Axion with a Dynamical Decay Constant
• Domain walls in the extensions of the Standard Model
• Stability of winding cosmic wall lattices with X type junctions
• Dynamics of Domain Walls for Split and Runaway Potentials
• Stochastic gravitational wave background: birth from string-wall death
• Spontaneous formation of domain wall lattices in two spatial dimensions
• Simulating the symmetron: domain walls and symmetry-restoring impurities
• Domain Wall Network: A Dual Solution for Gravitational Waves and Hubble Tension?
• Irreducible cosmological backgrounds of a real scalar with a broken symmetry
• Physical and invariant models for defect network evolution
• Left-Right Symmetry Breaking and Gravitational Waves : A Tale of Two Phase Transitions
• Minimal Electroweak Baryogenesis via Domain Walls
• X-type and Y-type junction stability in domain wall networks
• Global monopoles in the two-Higgs-doublet-model
• Anatomy of geometrical destabilization of inflation
• Percolation of Domain Walls in the Two-Higgs Doublet Model
• Cosmological scaling of precursor domain walls
• Flavor- and CP-safe explanation of $g_{\mu }-2$ anomaly
• Dynamics of $Z_N$ domain walls with bias directions
• Collapsing domain walls with ${\mathbb{Z}}_2$-violating coupling to thermalized fermions and their impact on gravitational wave detections
• Evolution of a kink-antikink ensemble in a quantum vacuum