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Scaling in Numerical Simulations of Domain Walls

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posted on 2023-06-08, 04:54 authored by Theodore Garagounis, Mark HindmarshMark Hindmarsh
We study the evolution of domain wall networks appearing after phase transitions in the early Universe. They exhibit interesting dynamical scaling behavior 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 A1/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.

History

Publication status

  • Published

File Version

  • Published version

Journal

Physical Review D

Issue

10

Volume

68

Page range

103506

Department affiliated with

  • Physics and Astronomy Publications

Notes

Supervisor of research student Garagounis. We provided strong numerical evidence that domain walls (2-dimensional extended objects) have the important property of scaling or self-similarity, and lose energy directly, strengthening similar claims for 1-dimensional objects or cosmic strings.

Full text available

  • Yes

Peer reviewed?

  • Yes

Legacy Posted Date

2012-02-06

First Open Access (FOA) Date

2016-03-22

First Compliant Deposit (FCD) Date

2016-11-10

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