Models for Small-Scale Structure on Cosmic Strings: II. Scaling and its stability

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

Resumo
We make use of the formalism described in a previous paper [Martins {it et al.} Phys. Rev. D90 (2014) 043518] to address general features of wiggly cosmic string evolution. In particular, we highlight the important role played by poorly understood energy loss mechanisms and propose a simple ansatz which tackles this problem in the context of an extended velocity-dependent one-scale model. We find a general procedure to determine all the scaling solutions admitted by a specific string model and study their stability, enabling a detailed comparison with future numerical simulations. A simpler comparison with previous Goto-Nambu simulations supports earlier evidence that scaling is easier to achieve in the matter era than in the radiation era. In addition, we also find that the requirement that a scaling regime be stable seems to notably constrain the allowed range of energy loss parameters.

Physical Review D
Volume 94
novembro 2016

DOI: 10.1103/PhysRevD.94.096005