On Asymptotic Behavior of Electric Resistivity at Infinitesimal Electric Current in Glassy State of Superconducting Quantized Fluxoids I. Basic Formulations

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  • On asymptotic behavior of electric resistivity at infinitesimal electric current in glassy state of superconducting quantized fluxoids (1) Basic formulations

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The purpose of the present study is to answer the question:Does the electric resistivity, ρ, approach zero as theapplied electric current approaches zero,in the glassy state of the quantized fluxoids in a type 2 superconductor? Thebest method for answering the above question by experimental studies may be to measure the relaxation process ofthe induced electric field, ����, during ultra-long time in the concerning material. This kind of measurements are,however,very hard to perform,and hence,we tried to answer the above question by a theoretical approach. In thispaper, we propose the starting basic equations to investigate the present problem by a theoretical analysis or bynumerical calculations, because we have at present no established reliable theoretical formulation for describing theultra-long time relaxation process in the glassy state.

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