Varying cross section superconductor

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SUMMARY

The discussion focuses on the behavior of superconductors when there is a sudden change in cross-sectional area, specifically from a larger area (A1) to a smaller area (A2). It highlights that the current density (J) can exceed the critical current density (Jc) under controlled temperature conditions, without surpassing the critical temperature. Key factors influencing this phenomenon include the size of the constriction relative to the coherence length of the superconductor. The concept of constriction junctions, particularly ScS Josephson junctions, is also emphasized as a relevant area of study.

PREREQUISITES
  • Understanding of superconductivity principles
  • Knowledge of current density and critical current density (Jc)
  • Familiarity with coherence length in superconductors
  • Basic concepts of Josephson junctions, specifically ScS junctions
NEXT STEPS
  • Research the properties and behavior of ScS Josephson junctions
  • Study the effects of temperature on superconductivity and phase slip phenomena
  • Explore the relationship between constriction size and coherence length in superconductors
  • Investigate the implications of magnetic field generation in superconductors under varying conditions
USEFUL FOR

This discussion is beneficial for physicists, materials scientists, and electrical engineers focusing on superconductivity, as well as researchers exploring the dynamics of current flow in superconducting materials.

Relena
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Here's the question: How can we describe a sudden change in the cross sectional area of a super conductor carying a current i from bigger A1 to smaller A2, such that the current density J after change is higher than Jc ?
I have one scenario in my mind, the tempreture rises in the non-superconductive length ? let's say we have a full control of heat so it doesn't go beyond the critical temprature, What changes will happen to the generated magnetic field ?
 
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The answer will depend on a number of factors; most notably the size of the constriction compared to the coherence length of the superconductor.

Try googling "constriction junction" (also known as ScS Josephson junctions). You can also try looking at some papers on phase slip.
 

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