D. J. Weir, R. Monaco, V. P. Koshelets, J. Mygind, R. J. Rivers
In this paper we use spontaneous flux production in annular superconductors to shed light on the Kibble-Zurek scenario. In particular, we examine the effects of finite size, and of external fields, neither of which is directly amenable to the KZ analysis. We see, from extensive simulations, that a realistic 2D superconducting annulus in 3D space, with dynamical electromagnetic fields behaves very like, and often indistinguishably from, a 1D ring with classical EM fields. Further, the properties of that 1D ring are well represented by analytic Gaussian approximations. Experimental results for annuli in the presence of external fields confirm these numerical findings, which have implications for the relevance of causal horizons to determine defect production.
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http://arxiv.org/abs/1302.7296
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