Superconductivity and Electromagnetism (Springer Series in Solid-State Sciences, 195)

✍ Scribed by Teruo Matsushita

• Publisher: Springer
• Year: 2021
• Tongue: English
• Leaves: 211
• Category: Library

✦ Synopsis

This book introduces readers to the characteristic features of electromagnetic phenomena in superconductivity. It first demonstrates not only that the diamagnetism in the superconductivity complies with Maxwell’s theory, which was formulated before the discovery of superconductivity, but also that the dominant E-B analogy in the electromagnetism loses perfection without the superconductivity.
The book then explores flux pinning, which is responsible for the non-dissipative current in DC, leading to irreversibility in AC. Drawing on Maxwell’s work, it also proves theoretically that if there is no energy dissipation in the superconductivity caused by the break in time reversal symmetry, it contradicts the thermodynamic principle of energy conservation – something that had previously only been proved experimentally.
Lastly, the book addresses the longitudinal magnetic field effect, and explains how this phenomenon leads to a new development of Maxwell’s theory.
Featuring numerous appendices to help readers understand the methods of derivation of equations, this book offers students and young scientists an introduction to applied superconductivity, especially in the context of power applications.
Presenting the characteristic features of electromagnetic phenomena in superconductivity from basic to advanced topics for applications, the book offers a valuable resource for graduate students and researchers studying superconductivity as well as engineers working in electric utility industry.

✦ Table of Contents

Preface
Contents
1 Introduction
1.1 Superconductor
1.2 Zero Electrical Resistance
1.3 Energy Dissipation in Superconductors
1.4 Contents of This Book
2 Basic Electromagnetism
2.1 Electrostatic Phenomena
2.2 Static Magnetic Phenomena
2.3 E-B Analogy
2.4 Electromagnetic Phenomena Varying with Time
2.5 Maxwell’s Equations and Breaking of Symmetry
3 Effects of the Introduction of Superconductivity into Electromagnetism
3.1 Electricity in a Conductor and Magnetism in a Superconductor
3.2 Prediction of Superconductivity
3.3 Merits of Introducing Superconductivity
Reference
4 Fundamental Electromagnetic Properties of Superconductors
4.1 Type II Superconductor
4.2 Ginzburg–Landau Theory
4.3 Flux Flow State
References
5 Flux Pinning Phenomena
5.1 Flux Pinning Mechanism
5.2 Critical State Model
5.3 Reversible Flux Motion
5.4 Summation Problem and Irreversibility
5.5 Pinning Loss Energy Density
5.6 Coherent Potential Approximation Theory
5.7 Critical State Theory
References
6 Longitudinal Magnetic Field Effect
6.1 Experimental Results
6.2 Clue to the Solution
6.3 Derivation of the Force Free Torque
6.4 Electromagnetic Phenomena Caused by Rotation of Flux Lines
6.5 Completion of Theory
6.6 Comparison with Electromagnetic Phenomena in the Transverse Magnetic Field
6.7 New Electromagnetism
References
7 Concluding Remarks
7.1 Summary
7.2 Superconductor Technology in the Future
7.3 Scientific Significance of Flux Pinning Phenomena
References
Afterword
Appendix
A.1 Derivation of Ginzburg-Landau Equations
A.2 Derivation of (4.23)
A.3 Derivation of (4.42)
A.4 Derivation of (5.78)
A.5 Derivation of (5.86)
A.6 Derivation of (5.98)
A.7 Input Energy and Increase in Magnetic Energy
A.8 Helmholtz Free Energy and Gibbs Free Energy
A.9 Two Kinds of Irreversibility
A.10 Theoretical Systems of Flux Pinning
A.11 Analysis of Penetration of Flux Lines into a Superconducting Cylinder
A.12 On the Flux Cutting
A.13 Magnetic Helicity in the Force-Free State
A.14 Derivation of (6.41) and (6.42)
A.15 Proof of (6.45)
A.16 Derivation of (6.62) and (6.63)
A.17 Electromagnetic Phenomena in High-Temperature Superconductors
References
Index