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Fizika Tverdogo Tela, 2019 Volume 61, Issue 11, Pages 1995–1999 (Mi ftt8605)

Metals

On a nonlinear effect in the superconductivity theory

S. O. Gladkov

Moscow Aviation Institute (National Research University)

Abstract: Based on the solution of the hydrodynamic equations and Maxwell's equations, we show that an external quasi-homogeneous magnetic field leads to the emergence of a secondary electric field that is resulted from a nonlinear effect over magnetic potential $\mathbf A$. This field is proved to exist in the region with a depth of $\delta/2$, where $\delta$ is the London penetration depth. The hydrodynamic flow velocity is estimated.

Keywords: Maxwell equations, penetration depth, magnetic field, electric field, nonlinear effect.

Received: 15.11.2018
Revised: 30.06.2019
Accepted: 08.07.2019

DOI: 10.21883/FTT.2019.11.48397.317


 English version:
Physics of the Solid State, 2019, 61:11, 1955–1959

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