Evolution of Superconducting Strings

C.J.A.P. Martins^{1, 2}, and E.P.S.~Shellard¹

¹ Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Silver Street, Cambridge CB3 9EW, U.K.
² Centro de Astrof\'{i}sica da Universidade do Porto, Rua do Campo Alegre 823, 4150 Porto, Portugal

We extend the velocity-dependent `one-scale' model of string evolution to superconducting strings by introducing a simple model for the evolution of the currents. This is based on the dynamics of a `superconducting correlation length'. We derive the relevant evolution equations and discuss the importance of plasma effects. Some consequences of our results are also suggested.

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Evolution of Superconducting Strings

C.J.A.P. Martins1, 2, and E.P.S.~Shellard1

1 Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Silver Street, Cambridge CB3 9EW, U.K. 2 Centro de Astrof\'{i}sica da Universidade do Porto, Rua do Campo Alegre 823, 4150 Porto, Portugal

C.J.A.P. Martins^{1, 2}, and E.P.S.~Shellard¹

¹ Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Silver Street, Cambridge CB3 9EW, U.K.
² Centro de Astrof\'{i}sica da Universidade do Porto, Rua do Campo Alegre 823, 4150 Porto, Portugal