Abstract (EN):
We derive an analytical approximation for the linear scaling evolution of the characteristic length L and the root-mean-squared velocity o of standard frictionless domain wall networks in Friedmann-Lemaitre-Robertson-Walker universes with a power law evolution of the scale factor a with the cosmic time t (a proportional to t(lambda)). This approximation, obtained using a recently proposed parameter-free velocity-dependent one-scale model for domain walls, reproduces well the model predictions for lambda close to unity, becoming exact in the lambda -> 1(-) limit. We use this approximation, in combination with the exact results found for lambda = 0, to obtain a fit to the model predictions valid for lambda is an element of [0, 1] with a maximum error of the order of 1%. This fit is also in good agreement with the results of field theory numerical simulations, especially for lambda is an element of [0.9, 1]. Finally, we explicitly show that the phenomenological energy-loss parameter of the original velocity-dependent one-scale model for domain walls vanishes in the lambda -> 1(-) limit and discuss the implications of this result.
Idioma:
Inglês
Tipo (Avaliação Docente):
Científica
Nº de páginas:
15