Bardeen–Stephen model of flux flow in superconductors
E37417
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.
Aliases (2)
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 |
time-dependent Ginzburg–Landau theory (phenomenologically)
→
|
| category |
mixed-state transport theory
→
vortex dynamics model → |
| comparedWith |
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 |
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)
| Subject (surface form when different) | Predicate |
|---|---|
|
Bardeen–Stephen model of flux flow in superconductors
("Nozières–Vinen model of vortex motion")
→
|
comparedWith |
|
Bardeen
→
|
hasNotableScientificAssociation |
|
Bardeen–Stephen model of flux flow in superconductors
("Theory of the Motion of Vortices in Superconductors")
→
|
titleOfOriginalPaper |