Bernoulli Potential in Superconductors

1. Front Matter

   Pages I-XV

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2. History of the Bernoulli Potential

   • P. Lipavský, Jan Koláček, Klaus Morawetz, Ernst Helmut Brandt, Tzong-Jer Yang

   Pages 1-6

3. Basic Concepts

   • P. Lipavský, Jan Koláček, Klaus Morawetz, Ernst Helmut Brandt, Tzong-Jer Yang

   Pages 7-22

4. Balance of Forces

   • P. Lipavský, Jan Koláček, Klaus Morawetz, Ernst Helmut Brandt, Tzong-Jer Yang

   Pages 23-36

5. Thermodynamical Correction

   • P. Lipavský, Jan Koláček, Klaus Morawetz, Ernst Helmut Brandt, Tzong-Jer Yang

   Pages 37-54

6. Phenomenological Description

   • P. Lipavský, Jan Koláček, Klaus Morawetz, Ernst Helmut Brandt, Tzong-Jer Yang

   Pages 55-70

7. Non-local Corrections

   • P. Lipavský, Jan Koláček, Klaus Morawetz, Ernst Helmut Brandt, Tzong-Jer Yang

   Pages 71-84

8. Extended Ginzburg–Landau Theory

   • P. Lipavský, Jan Koláček, Klaus Morawetz, Ernst Helmut Brandt, Tzong-Jer Yang

   Pages 85-96

9. Quasi-neutral Limit

   • P. Lipavský, Jan Koláček, Klaus Morawetz, Ernst Helmut Brandt, Tzong-Jer Yang

   Pages 97-110

10. Diamagnetic Current at Surface

    • P. Lipavský, Jan Koláček, Klaus Morawetz, Ernst Helmut Brandt, Tzong-Jer Yang

    Pages 111-130

11. Surfaces

    • P. Lipavský, Jan Koláček, Klaus Morawetz, Ernst Helmut Brandt, Tzong-Jer Yang

    Pages 131-146

12. Matching of Electrostatic Potentials at Surfaces

    • P. Lipavský, Jan Koláček, Klaus Morawetz, Ernst Helmut Brandt, Tzong-Jer Yang

    Pages 147-162

13. Diamagnetic Currents Deep in the Bulk

    • P. Lipavský, Jan Koláček, Klaus Morawetz, Ernst Helmut Brandt, Tzong-Jer Yang

    Pages 163-180

14. Electrostatic Potential Above a Surface with Vortices

    • P. Lipavský, Jan Koláček, Klaus Morawetz, Ernst Helmut Brandt, Tzong-Jer Yang

    Pages 181-192

15. Layered Structures

    • P. Lipavský, Jan Koláček, Klaus Morawetz, Ernst Helmut Brandt, Tzong-Jer Yang

    Pages 193-206

16. Charge Transfer in Layered Structures

    • P. Lipavský, Jan Koláček, Klaus Morawetz, Ernst Helmut Brandt, Tzong-Jer Yang

    Pages 207-220

17. Effect of the Electrostatic Field on the Superconductor

    • P. Lipavský, Jan Koláček, Klaus Morawetz, Ernst Helmut Brandt, Tzong-Jer Yang

    Pages 221-238

18. Outlook and Perspectives

    • P. Lipavský, Jan Koláček, Klaus Morawetz, Ernst Helmut Brandt, Tzong-Jer Yang

    Pages 239-265

19. Back Matter

    Pages 267-268

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There are many monographs and textbooks addressing superconductivity from di?erent angles. In spite of a large variety of explored approaches, one problem is always left aside. It is the balance of forces acting on the sup- conducting condensate. In the present book this question is central. As the title suggests, there is a close analogy between the electrostatic ?eld in superconductors and the pressure in the ideal incompressible liquid. As one can easily imagine looking at swirling water, molecules of the inc- pressible liquid are accelerated by gradients of the pressure so that they can follow complicated trajectories often changing their directions and velocities. Electronsinthe superconductorbehavesimilarly,exceptthatthe electrostatic potential plays the role of the pressure. The pressure in any material develops when we reduce its volume. This leads us to the main puzzle. By de?nition, the incompressible liquid never changes its volume. Consequently, how can be any pressure there? Of course, one has the direct experience that there is a pressure in water and one would never deny it. The incompressible liquid is an ideal model which assumes that the pressure we feel has been achieved with a negligibly small change of the volume.

• Bernoulli potential
• Ginzburg-Landau theory
• Magnetostriction
• Superconductivity
• Two-fluid model
• mechanics
• superconductor

From the reviews:

"The book consists of sixteen chapters, a conclusion and three appendices. Each chapter is accompanied with a summary, a set of exercises, a detailed list of references from the classical to the latest contributions in the literature, and suggestions for further reading. The book is aimed at graduate students in physics and researchers entering the field, and clearly serves as a modern introduction to the topic. … I found the book very accessible, clearly written, and a real pleasure to read." (Ayman Kachmar, Mathematical Reviews, Issue 2008 j)

“The book is devoted to statement of analogy between the electrostatic field in superconductors and the pressure in the ideal incompressible liquid on the base of force balance acting on the superconducting condensate. … In total, this sound and thorough book on application of electrostatic force approach to the superconductors, written in the sufficiently simple … .” (I. A. Parinov, Zentralblatt MATH, Vol. 1189, 2010)

• Faculty of Mathematics&Physics, Charles University, Czech Republic

  P. Lipavský

• Academy of Sciences, Institute of Physics, Czech Republic

  Jan Koláček

• TU Chemnitz, 09107 Chemnitz, Germany

  Klaus Morawetz

• MPI für Physik komplexer Systeme, 01187 Dresden, Germany

  Klaus Morawetz

• MPI für Metallforschung, 70569 Stuttgart, Germany

  Ernst Helmut Brandt

• National Chiao-Tung University, Hsinchu 300, Taiwan R.O.C

  Tzong-Jer Yang

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