Abstract
Classical current-carrying cosmic string loopmotion is investigated by means of a numericalsimulation making explicit use of the Carter formalismand the Carter-Peter rational and logarithmic equations of state. The class of initial configurationsconsists of elliptic loops far from the vortonequilibrium state with constant state parameter alongthe loop. Thus, the relevant parameters, apart fromthose describing the equation of state itself, arethe ellipticity and the initial state parameter. It isfound that for most of the parameter space, the loopmotion is quasiperiodic, but that this result is actually irrelevant to the treatment of anarbitrary loop motion: indeed, almost systematically,the loops develop kinks and cusps, and in the case ofspacelike currents, there are segments of the loop that escape the elastic regime. It is thenargued that quantum effects resulting from thesesituations will in practice provide the dominantevolution mechanisms.
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Peter, P. The Importance of Quantum Effects in Superconducting Cosmic Strings. International Journal of Theoretical Physics 38, 3111–3122 (1999). https://doi.org/10.1023/A:1026672518974
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DOI: https://doi.org/10.1023/A:1026672518974