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

Abstract

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.

16 pages, 11 figures

References in corpus (3)

• Cosmic string loops in the expanding universe
• Cosmic String Structure at the Gravitational Radiation Scale
• Models for Small-Scale Structure on Cosmic Strings: I. Mathematical Formalism

Cited by in corpus (8)

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• Charge-velocity-dependent one-scale linear model
• Cosmological evolution of Witten superconducting string networks
• Scaling solutions of wiggly cosmic strings
• Cosmic Microwave Background anisotropies generated by cosmic strings with small-scale structure
• Cosmic Microwave Background Signatures from Current-carrying Cosmic Strings
• Dynamical simulations of colliding superconducting strings
• Scaling solutions of wiggly cosmic strings: II. Time-varying coarse-graining scale solutions