On a Nonlinear Effect in the Superconductivity Theory

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.