Evolution of textures.

Physics

Scientific paper

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Scientific paper

Textures are the objects that can be produced during the phase transition where the original symmetry G is broken to the remaining symmetry H and the homotopy group π3(G/H) is nontrivial. The author reviews the properties of the static texture configurations both in flat space-time and in the fully general relativistic case. They are generically unstable. He then investigates the time evolution of spherically symmetric textures in flat space-time. The numerical results confirm the existence of the critical winding number for which it takes infinite time for the texture to unwind. When the initial winding number is greater than the critical value, textures collapse until the unwinding takes place and, after the unwinding, exhibit no trend of rewinding but expand with the energy being dispersed.

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