A Note on Time - Independent Electric Field in Superconductors

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Plasmas Electric Field - Conduction

Scientific paper

We derive a set of coupled partial differential equations for the determination of the electric field and of the order parameter of the superconducting electrons. For this purpose, we propose an expression for the free energy of the superconducting electrons in the presence of an electric field, the minimization of which yields the above-mentioned equations. It is shown that for a superconductor at zero temperature the electric field of a test charge Ze decreases exponentially with distance from the charge and the London penetration depth plays the role of the Debye length.

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