Derives dynamical criterion for biased domain wall formation by evaluating p_fv at freeze-out temperature T_fo, producing stricter condition than conventional static threshold and consistency condition T_fo > T_ann.
Analytic scaling solutions for cosmic domain walls
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abstract
A relativistic generalisation of a well-known method for approximating the dynamics of topological defects in condensed matter is constructed, and applied to the evolution of domain walls in a cosmological context. It is shown that there are self-similar ``scaling'' solutions, for which one can in principle calculate many quantities of interest without recourse to numerical simulations. Here, the area density in the scaling regime is calculated in various backgrounds. Remarkably good agreement with numerical simulations is obtained.
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Dynamical criterion for biased domain-wall formation
Derives dynamical criterion for biased domain wall formation by evaluating p_fv at freeze-out temperature T_fo, producing stricter condition than conventional static threshold and consistency condition T_fo > T_ann.