Electrodynamics of Perfect Conductors

Abstract

The most general electrodynamic equations of a perfect conducting state are obtained using a variational principle in a classical framework, following an approach by Pierre-Gilles de Gennes. London equations are derived as the time-independent case of these equations, corresponding to the magnetostatic minimal energy state of the perfect conducting system. For further confirmation, the same equations are also derived in the classical limit of the Coleman-Weinberg model, the most successful quantum macroscopic theory of superconductivity. The magnetic field expulsion is, therefore, a direct consequence of zero resistivity and not an exclusive property of superconductors.

7 pages; published in Int J Theor Phys (2013)

References in corpus (3)

• Meissner effect, diamagnetism, and classical physics - a review
• Vortex Interactions and Thermally Induced Crossover from Type-I to Type-II Superconductivity
• Vortex Origin of Tricritical Point in Ginzburg-Landau Theory

Cited by in corpus (8)

• On the dynamics of the Meissner effect
• Tricritical Point in Quantum Phase Transitions of the Coleman-Weinberg Model at Higgs Mass
• Magnetic Field Expulsion from an Infinite Cylindrical Superconductor
• Gauge Invariance and Spontaneous Symmetry Breaking in Two-Gap Superconductors
• The interaction of the ITER first wall with magnetic perturbations
• Size Effects in the Ginzburg-Landau Theory
• Phenomenological correlations in high-temperature superconductors
• The Darwin-Breit magnetic interaction and superconductivity