Nonlinearity of the field induced by a rotating superconducting shell

TL;DR

This paper compares the magnetic field induced by a rotating superconducting shell using Ginzburg-Landau and London theories, highlighting differences in their predictions for a cylindrically symmetric shell.

Contribution

It provides a detailed comparison between Ginzburg-Landau and London theories for the magnetic field of a rotating superconducting shell, revealing the nonlinearity effects.

Findings

Ginzburg-Landau predicts nonlinear field behavior.

London theory yields a simpler, linear approximation.

Differences are significant for thin shells with cylindrical symmetry.

Abstract

For a thin superconducting shell with cylindrical symmetry, the magnetic field generated by its rotation is easily evaluated in the Ginzburg-Landau framework. We compare this field with the result that is obtained by using the London theory.