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On a Nonlinear Effect in the Superconductivity Theory

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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 A. This field is proved to exist in the region with a depth of \(\delta {\text{/}}2\), where δ is the London penetration depth. The hydrodynamic flow velocity is estimated.

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REFERENCES

  1. J. Schrieffer, Theory of Superconductivity (W.A. Benjamin, New York, 1964).

    MATH  Google Scholar 

  2. M. Tinkham, Introduction to Superconductivity (Dover, New York, 2004).

    Google Scholar 

  3. A. V. Svidzinskii, Spatially Inhomogeneous Problems of the Theory of Superconductivity (Nauka, Moscow, 1982) [in Russian].

    Google Scholar 

  4. M. Tinkham, Introduction to superconductivity, 2nd ed. (McGraw-Hill, New York, 1996).

    Google Scholar 

  5. V. V. Schmidt, The Physics of Superconductors: Introduction to Fundamentals and Applications (MTsNMO, Moscow, 2000; Springer, Berlin, Heidelberg, 1997).

  6. N. B. Kopnin, Theory of Nonequilibrium Superconductivity (Clarendon, Oxford, 2001).

    Book  Google Scholar 

  7. L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 8: Electrodynamics of Continuous Media (Nauka, Moscow, 1982; Pergamon, New York, 1984).

  8. L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 6: Fluid Mechanics (Nauka, Moscow, 1986; Pergamon, New York, 1987).

  9. S. O. Gladkov, Tech. Phys. 60, 1082 (2015).

    Article  Google Scholar 

  10. S. O. Gladkov and S. B. Bogdanova, J. Commun. Technol. Electron. 62, 740 (2017).

    Article  Google Scholar 

  11. S. O. Gladkov and S. B. Bogdanova, Russ. Phys. J. 61, 102 (2018).

    Article  Google Scholar 

  12. H. Bateman and A. Erdelyi, Higher Transcedental Functions (McGraw-Hill, New York, 1953), Vol. 2.

    Google Scholar 

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Correspondence to S. O. Gladkov.

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Translated by A. Ivanov

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Gladkov, S.O. On a Nonlinear Effect in the Superconductivity Theory. Phys. Solid State 61, 1955–1959 (2019). https://doi.org/10.1134/S1063783419110167

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  • DOI: https://doi.org/10.1134/S1063783419110167

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