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Models for Small-Scale Structure on Cosmic Strings: I. Mathematical Formalism
C. J. A. P. Martins, E. P. S. Shellard, J. P. P. Vieira
We describe the formalism of a quantitative analytic model for the evolution of realistic wiggly (as opposed to Goto-Nambu) cosmic strings. The model is particularly suited for des…
Extending the Velocity-dependent One-scale String Evolution Model
C. J. A. P. Martins, E. P. S. Shellard
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…
Evolution of Superconducting String Currents
C. J. A. P. Martins, E. P. S. Shellard
We extend the quantititative string evolution model of Martins and Shellard to superconducting strings by introducing a simple toy model for the evolution of the currents. This is…
String Evolution with Friction
C. J. A. P. Martins, E. P. S. Shellard
We study the effects of friction on the scaling evolution of string networks in condensed matter and cosmological contexts. We derive a generalized `one-scale' model with the strin…