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Critical Dynamics of a Vortex Loop Model for the Superconducting Transition

Vivek Aji·Nigel Goldenfeld
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Abstract

We calculate analytically the dynamic critical exponent $z_{MC}$ measured in Monte Carlo simulations for a vortex loop model of the superconducting transition, and account for the simulation results. In the weak screening limit, where magnetic fluctuations are neglected, the dynamic exponent is found to be $z_{MC} = 3/2$. In the perfect screening limit, $z_{MC} = 5/2$. We relate $z_{MC}$ to the actual value of $z$ observable in experiments and find that $z \sim 2$, consistent with some experimental results.

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Vivek Aji, Nigel Goldenfeld. 2001-09-20. Critical Dynamics of a Vortex Loop Model for the Superconducting Transition. https://doi.org/10.1103/physrevlett.87.197003

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