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On the Thermal Dynamics of Metallic and Superconducting Wires. Bifurcations, Quench, the Destruction of Bistability and Temperature Blowup

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  • Rizos N. Krikkis

    (Institute of Thermal Research, 2 Kanigos Str., P.O. Box 106 77 Athens, Greece)

Abstract

In the present study, a numerical bifurcation analysis is carried out in order to investigate the multiplicity and the thermal runaway features of metallic and superconducting wires in a unified framework. The analysis reveals that the electrical resistance, combined with the boiling curve, are the dominant factors shaping the conditions of bistability—which result in a quenching process—and the conditions of multistability—which may lead to a temperature blowup in the wire. An interesting finding of the theoretical analysis is that, for the case of multistability, there are two ways that a thermal runaway may be triggered. One is associated with a high current value (“normal” runaway) whereas the other one is associated with a lower current value (“premature” runaway), as has been experimentally observed with certain types of superconducting magnets. Moreover, the results of the bifurcation analysis suggest that a static criterion of a warm or a cold thermal wave propagation may be established based on the limit points obtained.

Suggested Citation

  • Rizos N. Krikkis, 2021. "On the Thermal Dynamics of Metallic and Superconducting Wires. Bifurcations, Quench, the Destruction of Bistability and Temperature Blowup," J, MDPI, vol. 4(4), pages 1-21, November.
    • Handle: RePEc:gam:jjopen:v:4:y:2021:i:4:p:55-823:d:685294
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    References listed on IDEAS

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    1. Bedeaux, D. & Mazur, P., 1981. "Stability of inhomogeneous stationary states for the hot-spot model of a superconducting microbridge," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 105(1), pages 1-30.
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