Entropy generation and momentum transfer in the superconductor-normal and normal-superconductor phase transformations and the consistency of the conventional theory of superconductivity

Abstract

Since the discovery of the Meissner effect the superconductor to normal (S-N) phase transition in the presence of a magnetic field is understood to be a first order phase transformation that is reversible under ideal conditions and obeys the laws of thermodynamics. The reverse (N-S) transition is the Meissner effect. This implies in particular that the kinetic energy of the supercurrent is not dissipated as Joule heat in the process where the superconductor becomes normal and the supercurrent stops. In this paper we analyze the entropy generation and the momentum transfer between the supercurrent and the body in the S-N transition and the N-S transition as described by the conventional theory of superconductivity. We find that it is impossible to explain the transition in a way that is consistent with the laws of thermodynamics unless the momentum transfer between the supercurrent and the body occurs with zero entropy generation, for which the conventional theory of superconductivity provides no mechanism. Instead, we point out that the alternative theory of hole superconductivity does not encounter such difficulties.

References in corpus (6)

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• Momentum of superconducting electrons and the explanation of the Meissner effect
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• Joule heating in the normal-superconductor phase transition in a magnetic field
• Thermodynamic inconsistency of the conventional theory of superconductivity
• Theory of Supercurrent in Superconductors
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• Magnetic flux expulsion in a superconducting wire
• Moment of inertia of superconductors
• Superconducting materials: the w$hole$ story
• Defying inertia: how rotating superconductors generate magnetic fields
• How Alfven's theorem explains the Meissner effect
• Alfven-like waves along normal-superconductor phase boundaries
• Berry connection from many-body wave functions and superconductivity: Calculations by the particle number conserving Bogoliubov-de Gennes equations
• Berry connection from many-body wave functions and superconductivity: Circuit quantization for superconducting qubits and absence of a dissipative quantum phase transition in Josephson junctions