Comment on "Inconsistency of the conventional theory of superconductivity" by J.E. Hirsch

TL;DR

This paper refutes J. E. Hirsch's claim of inconsistency in superconductivity theory by highlighting a crucial overlooked term, restoring thermodynamic consistency through proper energy conservation and Maxwell's equations.

Contribution

It clarifies the correct supercurrent dynamics and resolves the claimed inconsistency by emphasizing the importance of a key term for energy conservation.

Findings

The overlooked term is essential for energy conservation.

Proper dynamics are governed by Maxwell's equations.

Thermodynamic consistency is restored with correct energy accounting.

Abstract

J. E. Hirsch [EPL 130 (2020) 17006] claimed an inconsistency between thermodynamics and the theory of superconductivity. We argue that he overlooked a crucial term which determines the supercurrent dynamics and ensures energy conservation by providing an internal energy source for the Joule heating. Thermodynamic consistency is restored by restoring energy conservation. The correct dynamics is given by Maxwell's equations in the superconductor.