Shortcut to Superconductivity: Superconducting Electronics Via Comsol Modeling
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Book Overview
Chapter 1. What is superconductivity
1. How to handle zero resistance/infinite conductivity?
2. Londons' approach
Problems in Section 2 (all problems here and below with solutions, almost all of them also have hints):
1. Describe penetration of magnetic field into superconductor.
2. Prove that screening of magnetic field in superconductors occurs at shortest possible distance.
3. Estimate the characteristic length of magnetic field penetration into the bulk superconductor.
3. Ginzburg-Landau approach
Problem in Section 3:
1. Find out what is the difference between Cooper condensate and Bose condensate.
4. Josephson effects
Problem in Section 4:
1. What will happen if constant voltage is applied to superconducting junctions?
5. SQUIDs
Problems in Section 5:
1. Consider a hollow superconducting cylinder, and prove that magnetic flux is quantized in it.
2. When the flux is not quantized?
6. Time-dependent Ginzburg-Landau theory
Problems in Section 5:
1. Using COMSOL Multiphysics, consider penetration of magnetic field into a thin superconducting disk.2. Explore this phenomenon Using COMSOL and realize existence of two types of superconductors.
3. Using COMSOL, consider the flow of current through a thin superconducting wire: discover oscillatory regime of the current flow and explore it.
4. Using COMSOL, consider the flow of current through a thin superconducting strip: observe annihilation of Abrikosov vortices and anti-vorticies.
Chapter 2. BCS-Gor'kov approach to equilibrium properties of superconductors
Chapter 3. Green's function formalism in nonequilibrium case
Chapter 4. Derivation of kinetic equations for nonequilibrium superconductors
Chapter 5. Superconducting lasers
Chapter 6. Cooling by heating
Chapter 7. Derivation of time-dependent Ginzburg-Landau equations
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