# Study of the superconducting to normal transition

## TL;DR

This paper presents a classical mechanics and thermodynamics-based model for the current-driven superconducting to normal transition, demonstrating its reversibility and aligning with observed temperature-dependent critical currents, with implications for high-$T_c$ materials.

## Contribution

It introduces a universal classical model for the transition, derives a new approach to BCS theory, and proposes an experiment to test high-$T_c$ superconductivity relevance.

## Key findings

- Transition is reversible according to the model.
- Critical current temperature dependence matches observations.
- Normal state properties of high-$T_c$ compounds are explained.

## Abstract

A model, based on classical mechanics and thermodynamics and valid for \textit{all} superconductors, is devised to investigate the properties of the \textit{current-driven}, superconducting to normal transition. This process is shown to be reversible. An original derivation of the BCS variational procedure is given. Two different critical temperatures are introduced. The temperature dependence of the critical current is worked out and found to agree with observation. The peculiar transport properties of high-$T_c$ compounds in the normal state and old magnetoelastic data are also interpreted within this framework. A novel experiment is proposed to check the relevance of this analysis to high-$T_c$ superconductivity.