Pippard nonlocal theory
E48483
Pippard nonlocal theory is a refinement of superconductivity theory that introduces spatially nonlocal relations between current and electromagnetic fields to account for finite coherence length effects beyond the London model.
All labels observed (2)
| Label | Occurrences |
|---|---|
| Pippard coherence length | 1 |
| Pippard nonlocal theory canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T380154 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
Target entity: Pippard nonlocal theory Context triple: [London equations, extendedBy, Pippard nonlocal theory]
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A.
Ginzburg–Landau theory of superconductivity
The Ginzburg–Landau theory of superconductivity is a phenomenological framework that describes superconductors using a complex order parameter and macroscopic equations to capture phase transitions, coherence length, and magnetic behavior.
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B.
Eliashberg theory
Eliashberg theory is an extension of BCS superconductivity that incorporates strong-coupling and frequency-dependent effects to more accurately describe real superconducting materials.
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C.
London equations
The London equations are fundamental relations in superconductivity that describe how magnetic fields behave inside superconductors, capturing key features like the Meissner effect and zero electrical resistance.
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D.
Bardeen–Stephen model of flux flow in superconductors
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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E.
Fresnel diffraction theory
Fresnel diffraction theory is a wave-optics framework that describes how light diffracts when source or observation distances are finite, using near-field approximations derived from the Huygens–Fresnel principle.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Target entity: Pippard nonlocal theory Target entity description: Pippard nonlocal theory is a refinement of superconductivity theory that introduces spatially nonlocal relations between current and electromagnetic fields to account for finite coherence length effects beyond the London model.
-
A.
Ginzburg–Landau theory of superconductivity
The Ginzburg–Landau theory of superconductivity is a phenomenological framework that describes superconductors using a complex order parameter and macroscopic equations to capture phase transitions, coherence length, and magnetic behavior.
-
B.
Eliashberg theory
Eliashberg theory is an extension of BCS superconductivity that incorporates strong-coupling and frequency-dependent effects to more accurately describe real superconducting materials.
-
C.
London equations
The London equations are fundamental relations in superconductivity that describe how magnetic fields behave inside superconductors, capturing key features like the Meissner effect and zero electrical resistance.
-
D.
Bardeen–Stephen model of flux flow in superconductors
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.
-
E.
Fresnel diffraction theory
Fresnel diffraction theory is a wave-optics framework that describes how light diffracts when source or observation distances are finite, using near-field approximations derived from the Huygens–Fresnel principle.
- F. None of above. chosen
Statements (30)
| Predicate | Object |
|---|---|
| instanceOf |
nonlocal electrodynamics theory
ⓘ
theory of superconductivity ⓘ |
| accountsFor |
deviation from local London electrodynamics
ⓘ
finite coherence length in superconductors ⓘ |
| addresses | breakdown of local London theory when mean free path is large ⓘ |
| appliesTo |
clean superconductors
ⓘ
type-I superconductors ⓘ |
| basedOn | BCS microscopic picture of Cooper pairs ⓘ |
| characterizedBy | Pippard coherence length ⓘ |
| contrastsWith | local London electrodynamics ⓘ |
| extends | London local relation j ∝ A to a spatial integral over A ⓘ |
| field |
condensed matter physics
ⓘ
superconductivity ⓘ |
| influenced | development of microscopic theories of superconducting electrodynamics ⓘ |
| introduces |
nonlocal relation between supercurrent and electromagnetic field
ⓘ
spatially nonlocal relation between current density and vector potential ⓘ |
| namedAfter | A. B. Pippard ⓘ |
| precedes | full microscopic BCS electrodynamics ⓘ |
| predicts |
modification of penetration depth in clean limit
ⓘ
nonlocal electromagnetic response in superconductors ⓘ |
| refines |
London equations
ⓘ
London theory of superconductivity ⓘ |
| relatedTo |
BCS theory of superconductivity
ⓘ
surface form:
BCS theory
Ginzburg–Landau theory of superconductivity ⓘ
surface form:
Ginzburg–Landau theory
London penetration depth ⓘ coherence length ⓘ |
| usedIn |
analysis of electromagnetic response of clean superconductors
ⓘ
interpretation of nonlocal effects in penetration depth measurements ⓘ |
| uses | integral kernel relating current to vector potential ⓘ |
| validWhen | electron mean free path is comparable to or larger than coherence length ⓘ |
How these facts were elicited
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Subject: Pippard nonlocal theory Description of subject: Pippard nonlocal theory is a refinement of superconductivity theory that introduces spatially nonlocal relations between current and electromagnetic fields to account for finite coherence length effects beyond the London model.
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.