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We prove a theorem on the magnetic energy minimum in a system of perfect, or ideal, conductors. It is analogous to Thomson's theorem on the equilibrium electric field and charge distribution in a system of conductors. We first prove…

经典物理 · 物理学 2010-12-14 Miguel C. N. Fiolhais , Hanno Essen , C. Providencia , Arne B. Nordmark

Thomson's theorem states that static charge distributions in conductors only exist at the conducting surfaces in an equipotential configuration, yielding a minimal electrostatic energy. In this work we present a proof for this theorem based…

经典物理 · 物理学 2009-07-05 M. C. N. Fiolhais , C. Providencia

The thermodynamic principle of superfluid flow -- that the energy is minimized at constant entropy -- is applied to superconducting currents to derive the Meissner-Ochsenfeld effect in which magnetic fields are expelled from…

综合物理 · 物理学 2025-09-19 Phil Attard

I argue that the conventional BCS-London theory of superconductivity does not explain the most fundamental property of superconductors, the Meissner effect: how is the Meissner current generated, and how is it able to defy Faraday's law?…

超导电性 · 物理学 2010-01-13 J. E. Hirsch

The Meissner effect and the Spin Meissner effect are the spontaneous generation of charge and spin current respectively near the surface of a metal making a transition to the superconducting state. The Meissner effect is well known but, I…

超导电性 · 物理学 2013-05-23 J. E. Hirsch

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…

经典物理 · 物理学 2012-01-26 Hanno Essen , Miguel C. N. Fiolhais

Alfven's theorem states that in a perfectly conducting fluid magnetic field lines move with the fluid without dissipation. When a metal becomes superconducting in the presence of a magnetic field, magnetic field lines move from the interior…

超导电性 · 物理学 2026-03-03 J. E. Hirsch

Theoretical explanation of the Meissner effect involves proportionality between current density and vector potential [1], which has many deep consequences. Amongst them, one can speculate that superconductors in a magnetic field "find an…

超导电性 · 物理学 2012-08-07 Armen M. Gulian

An electric current generates a magnetic field, and magnetic fields cannot exist in the interior of type I superconductors. As a consequence of these two facts, electric currents can only flow near the surface of a type I superconducting…

超导电性 · 物理学 2021-08-25 J. E. Hirsch

Application of the generalized continuity equation reveals that the drift current in conductors is equivalent to a negative diffusion current. A phenomenological model of conductivity is developed using the generalized continuity equations.…

综合物理 · 物理学 2011-08-19 Arbab I. Arbab

The question of how a metal becoming superconducting expels a magnetic field is addressed. It is argued that the conventional theory of superconductivity has not answered this question despite its obvious importance. We argue that the…

超导电性 · 物理学 2016-02-02 J. E. Hirsch

The Meissner effect, the expulsion of magnetic field from the interior of a metal entering the superconducting state, is arguably the most fundamental property of superconductors, discovered in 1933. The conventional theory of…

超导电性 · 物理学 2026-03-03 J. E. Hirsch

Momentum and energy conservation are fundamental tenets of physics, that valid physical theories have to satisfy. In the reversible transformation between superconducting and normal phases in the presence of a magnetic field, the mechanical…

超导电性 · 物理学 2017-01-10 J. E. Hirsch

We analyze the Mei\ss ner effect from first principles of quantum mechanics. We show in particular the existence of superconducting states minimizing the magnetic free-energy of BCS-like models and carrying surface currents which annihilate…

数学物理 · 物理学 2016-10-11 J. -B. Bru , W. de Siqueira Pedra

We point out that the Meissner effect, the process by which a superconductor expels magnetic field from its interior, represents an unsolved puzzle within the London-BCS theoretical framework used to describe the physics of conventional…

超导电性 · 物理学 2008-05-18 J. E. Hirsch

The distribution of the transport current in a superconducting filament aligned parallel to the flat surface of a semi-infinite bulk magnet is studied theoretically. An integral equation governing the current distribution in the Meissner…

超导电性 · 物理学 2009-11-10 S. V. Yampolskii , Yu. A. Genenko , H. Rauh

Superconductivity occurs in systems that have a lot of negative charge: the highly negatively charged $(CuO2)^{--}$ planes in the cuprates, negatively charged $(FeAs)^-$ planes in the iron arsenides, and negatively charged $B^-$ planes in…

超导电性 · 物理学 2009-06-10 J. E. Hirsch

Is superconductivity associated with a lowering or an increase of the kinetic energy of the charge carriers? Conventional BCS theory predicts that the kinetic energy of carriers increases in the transition from the normal to the…

超导电性 · 物理学 2011-05-18 J. E. Hirsch

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…

经典物理 · 物理学 2013-01-25 Miguel C. N. Fiolhais , Hanno Essén

In recent work we formulated a new set of electrodynamic equations for superconductors as an alternative to the conventional London equations, compatible with the prediction of the theory of hole superconductivity that superconductors expel…

超导电性 · 物理学 2009-11-13 J. E. Hirsch
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