Kavli Affiliate: E. P. S. Shellard

| First 5 Authors: C. J. A. P. Martins, Patrick Peter, I. Yu. Rybak, E. P. S. Shellard,

| Summary:

We develop an analytic model to quantitatively describe the evolution of

superconducting cosmic string networks. Specifically, we extend the

velocity-dependent one-scale (VOS) model to incorporate arbitrary currents and

charges on cosmic string worldsheets under two main assumptions, the validity

of which we also discuss. We derive equations that describe the string network

evolution in terms of four macroscopic parameters: the mean string separation

(or alternatively the string correlation length) and the root mean square (RMS)

velocity which are the cornerstones of the VOS model, together with parameters

describing the averaged timelike and spacelike current contributions. We show

that our extended description reproduces the particular cases of wiggly and

chiral cosmic strings, previously studied in the literature. This VOS model

enables investigation of the evolution and possible observational signatures of

superconducting cosmic string networks for more general equations of state, and

these opportunities will be exploited in a companion paper.

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