One-scale Model for Domain Wall Network Evolution

Abstract

We introduce a new phenomenological one-scale model for the evolution of domain wall networks, and test it against high-resolution field theory numerical simulations. We argue that previous numerical estimates of wall velocities are inaccurate, and suggest a more accurate method of measurement. We show that the model provides an adequate approximation to the evolution of key parameters characterizing the evolution of the network. We use the model to study possible scaling solutions for domain wall networks, and discuss some of their cosmological consequences.

10 pages, submitted to Phys Rev D

References in corpus (20)

• Cosmic String Production Towards the End of Brane Inflation
• Quantitative String Evolution
• Extending the Velocity-dependent One-scale String Evolution Model
• Brane Interaction as the Origin of Inflation
• Power Spectra in Global Defect Theories of Cosmic Structure Formation
• Is the Dark Matter a Solid?
• Numerical simulations of string networks in the Abelian-Higgs model
• Evading the cosmological domain wall problem
• On the Evolution of Abelian-Higgs String Networks
• Evolution of cosmic string configurations
• Scaling in Numerical Simulations of Domain Walls
• The Cosmological Evolution of Domain Wall Networks
• Overproduction of cosmic superstrings
• Unified model for vortex-string network evolution
• Understanding Domain Wall Network Evolution
• Scaling Laws for Non-Intercommuting Cosmic String Networks
• Level Set Method for the Evolution of Defect and Brane Networks
• Topological defects: fossils of an anisotropic era?
• Formation of monopoles and domain walls after brane inflation
• Can our Universe be inhomogeneous on large sub-horizon scales ?

Cited by in corpus (66)

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• Gravitational Waves from Collapsing Domain Walls
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• Evolution of String-Wall Networks and Axionic Domain Wall Problem
• Kilobyte Cosmic Birefringence from ALP Domain Walls
• Extending the velocity-dependent one-scale model for domain walls
• Scaling Properties of Domain Wall Networks
• Measuring the stability of fundamental constants with a network of clocks
• Dynamics of domain wall networks with junctions
• Frustrated Expectations: Defect Networks and Dark Energy
• 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
• Highly interactive kink solutions
• Defect Junctions and Domain Wall Dynamics
• Dynamics of Domain Wall Networks
• Friction on ALP domain walls and gravitational waves
• Effects of Biases in Domain Wall Network Evolution
• New bounds on macroscopic scalar-field topological defects from non-transient signatures due to environmental dependence and spatial variations of the fundamental constants
• Cosmic Microwave Background anisotropies generated by domain wall networks
• Effective Action of Domain Wall Networks
• p-brane dynamics in (N+1)-dimensional FRW universes: a unified framework
• Domain walls coupled to matter: the symmetron example
• Evolution of local and global monopole networks
• Scaling of cosmological domain wall networks with junctions
• Stability of domain walls in models with asymmetric potentials
• Revisiting evolution of domain walls and their gravitational radiation with CosmoLattice
• Primordial Black Holes from Axion Domain Wall Collapse
• Domain wall network evolution in (N+1)-dimensional FRW universes
• Effects of biases in domain wall network evolution. II. Quantitative analysis
• Scaling Dynamics of Domain Walls in the Cubic Anisotropy Model
• Dynamics of Biased Domain Walls and the Devaluation Mechanism
• Scaling laws for weakly interacting cosmic (super)string and p-brane networks
• Spatial variations of the fine-structure constant in symmetron models
• Evolution of Semilocal String Networks: I. Large-scale Properties
• Unified paradigm for interface dynamics
• Collapsing domain walls beyond $Z_2$
• Analytic Models for the Evolution of Semilocal String Networks
• Stretching and Kibble scaling regimes for Hubble-damped defect networks
• Measuring Global Monopole Velocities, one by one
• CMB anisotropies generated by cosmic string loops
• Impact of string and monopole-type junctions on domain wall dynamics: implications for dark energy
• Runaway Domain Wall and Space-time Varying alpha
• Detecting Domain Walls in Laboratory Experiments
• Domain wall annihilation -- a QFT perspective
• 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
• Thermodynamics of Cosmic Defect Network Evolution
• Parameter-free velocity-dependent one-scale model for domain walls
• Exact solutions of domain wall junctions in arbitrary dimensions
• Comparing parametric and non-parametric velocity-dependent one-scale models for domain wall evolution
• Left-Right Symmetry Breaking and Gravitational Waves : A Tale of Two Phase Transitions
• Physical and invariant models for defect network evolution
• Minimal Electroweak Baryogenesis via Domain Walls
• Revisiting the VOS model for monopoles
• Scaling properties of multitension domain wall networks
• Cosmological scaling of precursor domain walls
• Percolation of Domain Walls in the Two-Higgs Doublet Model
• Cosmological Consequences of Topological Defects: Dark Energy and Varying Fundamental Constants
• Collapsing domain walls with ${\mathbb{Z}}_2$-violating coupling to thermalized fermions and their impact on gravitational wave detections
• Dynamics of $Z_N$ domain walls with bias directions
• Freezing lakes as analogue models of $\Lambda$CDM cosmology and beyond
• Gravitational Wave Mountains: current-carrying domain walls
• Gravitational Wave Gastronomy