Scaling in Numerical Simulations of Domain Walls

Details Scaling in Numerical Simulations of Domain Walls Scaling in Numerical Simulations of Domain Walls

2002-12-24

arxiv.org/abs/hep-ph/0212359v1

Phys.Rev. D68 (2003) 103506

Physics

High Energy Physics

High Energy Physics - Phenomenology

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

Scientific paper

10.1103/PhysRevD.68.103506

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.

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