Bardeen–Stephen model of flux flow in superconductors

E37417

model in superconductivity phenomenological theory theoretical model

The Bardeen–Stephen model of flux flow in superconductors is a theoretical framework that describes how magnetic vortices move and dissipate energy in type-II superconductors under applied currents and fields.

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All labels observed (3)

Label	Occurrences
Bardeen–Stephen model of flux flow in superconductors canonical	1
Nozières–Vinen model of vortex motion	1
Theory of the Motion of Vortices in Superconductors	1

Statements (45)

Predicate	Object
instanceOf	model in superconductivity ⓘ phenomenological theory ⓘ theoretical model ⓘ
appliesTo	type-II superconductors ⓘ
approximates	vortex core as a cylinder of normal metal ⓘ
approximationType	macroscopic, continuum description of vortices ⓘ
assumes	Ohmic dissipation in the vortex core ⓘ normal core inside each vortex ⓘ normal-state like resistivity in the vortex core ⓘ steady-state vortex motion ⓘ uniform current distribution on scales larger than vortex spacing ⓘ
basedOn	Ginzburg–Landau theory of superconductivity ⓘ surface form: time-dependent Ginzburg–Landau theory (phenomenologically)
category	mixed-state transport theory ⓘ vortex dynamics model ⓘ
comparedWith	Bardeen–Stephen model of flux flow in superconductors self-linksurface differs ⓘ surface form: Nozières–Vinen model of vortex motion
coreIdea	vortex motion produces an effective resistivity due to normal electrons in the core ⓘ
describes	energy dissipation due to vortex motion ⓘ flux flow ⓘ flux-flow resistivity ⓘ motion of Abrikosov vortices ⓘ viscous drag on vortices ⓘ
field	condensed matter physics ⓘ superconductivity ⓘ
givesFormulaFor	flux-flow resistivity ρ_ff ≈ ρ_n (B / Hc2) ⓘ
influenced	later theories of vortex dynamics ⓘ
introducedBy	John Bardeen ⓘ Michael Stephen ⓘ
neglects	Hall effect of vortices ⓘ inertial effects of vortices ⓘ pinning of vortices ⓘ
predicts	flux-flow resistivity proportional to magnetic field ⓘ linear current–voltage characteristics in the flux-flow regime ⓘ vortex viscosity coefficient ⓘ
publishedIn	Physical Review ⓘ
relates	flux-flow resistivity to normal-state resistivity ⓘ vortex velocity to Lorentz force and viscous drag ⓘ
titleOfOriginalPaper	Bardeen–Stephen model of flux flow in superconductors self-linksurface differs ⓘ surface form: Theory of the Motion of Vortices in Superconductors
usedFor	estimating vortex viscosity from experiments ⓘ interpreting transport measurements in the mixed state ⓘ modeling flux-flow resistive transitions ⓘ
usesConcept	upper critical field Hc2 ⓘ vortex core radius of order coherence length ⓘ
validInRegime	moderate magnetic fields below Hc2 ⓘ temperatures not too far below Tc ⓘ
yearProposed	1965 ⓘ

Referenced by (3)

Full triples — surface form annotated when it differs from this entity's canonical label.

Bardeen → hasNotableScientificAssociation → Bardeen–Stephen model of flux flow in superconductors ⓘ

Bardeen–Stephen model of flux flow in superconductors → titleOfOriginalPaper → Bardeen–Stephen model of flux flow in superconductors self-linksurface differs ⓘ

this entity surface form: Theory of the Motion of Vortices in Superconductors

Bardeen–Stephen model of flux flow in superconductors → comparedWith → Bardeen–Stephen model of flux flow in superconductors self-linksurface differs ⓘ

this entity surface form: Nozières–Vinen model of vortex motion