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Centro de Astrofísica da Universidade do Porto

Extending the velocity-dependent one-scale string evolution model

C. J. A. P. Martins, E. P. S. Shellard

Abstract
We provide a general overview of the velocity-dependent one-scale model for cosmic string evolution and discuss two further extensions to it. We introduce and justify a new ansatz for the momentum parameter k, and also incorporate the effect of radiation back reaction. We thus discuss the evolution of the basic large-scale features of cosmic string networks in all relevant cosmological scenarios, concentrating in particular on the ``scaling'' solutions relevant for each case. In a companion paper, we show, by comparing with numerical simulations, that this model provides an accurate description of the large-scale features of cosmic string networks.

Physical Review D
Volume 65, Page 043514
February 2002

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