Meissner effect, diamagnetism, and classical physics - a review
arXiv:1109.1968 · doi:10.1119/1.3662027
Abstract
We review the literature on what classical physics has to say about the Meissner effect and the London equations. We first discuss the relevance of the Bohr-van Leeuwen theorem for the perfect diamagnetism of superconductors. The conclusion is that the theorem is based on assumptions that are not valid. We also point out results in the literature which prove that the magnetic flux expulsion from a sample cooled to superconductivity can be simply understood as an approach to the magnetostatic energy minimum. These results have been published several times but still many textbooks on magnetism claim that there is no classical diamagnetism, and virtually all books on superconductivity repeat Meissner's 1933 statement that flux expulsion has no classical explanation.
8 pages, Accepted for publication in Am. J. Phys
References in corpus (2)
Cited by in corpus (17)
- Anderson's considerations on the flow of superfluid helium: some offshoots
- Theory of Caroli-de Gennes-Matricon analogs in full-shell hybrid nanowires
- On the dynamics of the Meissner effect
- Electrodynamics of Perfect Conductors
- Understanding the Planck Blackbody Spectrum and Landau Diamagnetism within Classical Electromagnetism
- A rigorous proof of the Bohr-van Leeuwen theorem in the semiclassical limit
- Tricritical Point in Quantum Phase Transitions of the Coleman-Weinberg Model at Higgs Mass
- Ground State Wave Function Overlap in Superconductors and Superfluids
- Magnetic Field Expulsion from an Infinite Cylindrical Superconductor
- Gauge Invariance and Spontaneous Symmetry Breaking in Two-Gap Superconductors
- "The universal meaning of the quantum of action", by Jun Ishiwara
- The Meissner effect in superconductors: emergence versus reductionism
- Phenomenological correlations in high-temperature superconductors
- Size Effects in the Ginzburg-Landau Theory
- Megascopic Quantum Phenomena. A Critical Study of Physical Interpretations
- The Darwin-Breit magnetic interaction and superconductivity
- A Purely Classical Derivation of the Meissner Effect?