The evolution of networks of domain walls and cosmic strings

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Cosmology, Galactic Clusters, Phase Transformations, Relic Radiation, String Theory, Anisotropy, Flux Density, Galactic Evolution, Universe

Scientific paper

When a complex scalar field has a potential with two or more degenerate minima, then a network of domain walls joined together by cosmic strings can form and evolve as the universe expands. The evolution of such wall-string networks is computed numerically, for potentials with 1-6 minima. Results for two-dimensional simulations are given on a 1024 x 1024 grid, and for fully three-dimensional simulations on a 100 x 100 x 100 grid. It is found that the rms velocity of the walls is about 0.4c, independent of the number of minima in the potential. The number of walls within the horizon is constant, to within a logarithmic factor. The small number of walls within the horizon implies that a wall network produced in a late (postrecombination) phase transition cannot generate large-scale structure without violating anisotropy constraints on the cosmic microwave background.

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