Why is the transition in resistance gradual at the Critical Temperature

thanasis
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Hello. The measurement of electrical resistance as a function of the superconductor's temperature yields fundamental insights into its properties. The Critical Temperature, Critical Current Density, and the Critical Magnetic Field, can all be obtained through variations of a basic experiment.

I would like to ask you. Why is the transition in resistance gradual at the Critical Temperature (T0) on plot of resistance versus temperature ? ( see the attached picture ). Thank you !
 

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The different regions in the superconductor aren't reaching critical temp at the same time.
 
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Likes gjonesy
any help please ?
 
Like when you heat mashed potatoes in the microwave. They don't heat evenly right away. The same thing happens when you try to cool objects too.
 
It also has to do with the quality of the superconducting film/material. The Tc of a superconductor depends on how uniform and pure the material is, meaning how steep the transition is will largely depend the quality: a "bad" film will always have a wide transition. This is one reason why the width of the transition is often used as a figure of merit when reporting on the quality of e.g. high-Tc materials.
 
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. Towards the end of the first lecture for the Qiskit Global Summer School 2025, Foundations of Quantum Mechanics, Olivia Lanes (Global Lead, Content and Education IBM) stated... Source: https://www.physicsforums.com/insights/quantum-entanglement-is-a-kinematic-fact-not-a-dynamical-effect/ by @RUTA
If we release an electron around a positively charged sphere, the initial state of electron is a linear combination of Hydrogen-like states. According to quantum mechanics, evolution of time would not change this initial state because the potential is time independent. However, classically we expect the electron to collide with the sphere. So, it seems that the quantum and classics predict different behaviours!
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