Kruskal–Shafranov instability criterion
E387066
The Kruskal–Shafranov instability criterion is a fundamental condition in plasma physics that predicts when a magnetically confined plasma column becomes unstable to kink-like distortions.
All labels observed (2)
| Label | Occurrences |
|---|---|
| Kruskal–Shafranov instability criterion canonical | 1 |
| Kruskal–Shafranov limit | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T3771952 — 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: Kruskal–Shafranov instability criterion Context triple: [Martin David Kruskal, notableWork, Kruskal–Shafranov instability criterion]
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A.
Jeans instability
Jeans instability is a gravitational phenomenon in astrophysics where regions within a gas cloud become unstable and collapse under their own gravity, leading to the formation of structures like stars and galaxies.
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B.
Rayleigh–Taylor instability
Rayleigh–Taylor instability is a fluid dynamics phenomenon in which the interface between two fluids of different densities becomes unstable when the lighter fluid pushes against the heavier one, leading to complex mixing patterns.
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C.
Kolmogorov spectrum of turbulence
The Kolmogorov spectrum of turbulence is a fundamental theory in fluid dynamics that predicts how kinetic energy is distributed across different scales in fully developed turbulent flow, most famously yielding the −5/3 power law for the inertial subrange.
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D.
Chandrasekhar–Friedman–Schutz instability
The Chandrasekhar–Friedman–Schutz instability is a gravitational-radiation-driven instability in rotating stars that can cause certain oscillation modes to grow by emitting gravitational waves.
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E.
Landau–Peierls instability
Landau–Peierls instability is a theoretical prediction in condensed matter physics that shows how long-wavelength thermal fluctuations destroy true long-range positional order in low-dimensional crystalline systems.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Target entity: Kruskal–Shafranov instability criterion Target entity description: The Kruskal–Shafranov instability criterion is a fundamental condition in plasma physics that predicts when a magnetically confined plasma column becomes unstable to kink-like distortions.
-
A.
Jeans instability
Jeans instability is a gravitational phenomenon in astrophysics where regions within a gas cloud become unstable and collapse under their own gravity, leading to the formation of structures like stars and galaxies.
-
B.
Rayleigh–Taylor instability
Rayleigh–Taylor instability is a fluid dynamics phenomenon in which the interface between two fluids of different densities becomes unstable when the lighter fluid pushes against the heavier one, leading to complex mixing patterns.
-
C.
Kolmogorov spectrum of turbulence
The Kolmogorov spectrum of turbulence is a fundamental theory in fluid dynamics that predicts how kinetic energy is distributed across different scales in fully developed turbulent flow, most famously yielding the −5/3 power law for the inertial subrange.
-
D.
Chandrasekhar–Friedman–Schutz instability
The Chandrasekhar–Friedman–Schutz instability is a gravitational-radiation-driven instability in rotating stars that can cause certain oscillation modes to grow by emitting gravitational waves.
-
E.
Landau–Peierls instability
Landau–Peierls instability is a theoretical prediction in condensed matter physics that shows how long-wavelength thermal fluctuations destroy true long-range positional order in low-dimensional crystalline systems.
- F. None of above. chosen
Statements (45)
| Predicate | Object |
|---|---|
| instanceOf |
magnetohydrodynamic instability criterion
ⓘ
plasma physics stability criterion ⓘ |
| aimsToPrevent | disruptive kink instabilities in fusion devices ⓘ |
| appliesTo |
cylindrical plasma columns
ⓘ
magnetically confined plasma column ⓘ tokamak plasmas ⓘ z‑pinch configurations ⓘ |
| assumes |
cylindrical symmetry approximation
ⓘ
ideal magnetohydrodynamics ⓘ |
| category |
fusion energy physics concept
ⓘ
plasma stability theory ⓘ |
| concerns |
current‑carrying plasmas
ⓘ
magnetohydrodynamic stability ⓘ |
| coreCondition |
instability occurs when parallel current is too large relative to confining magnetic field
ⓘ
plasma column becomes kink‑unstable when twist of field lines exceeds about one turn over column length ⓘ safety factor q must exceed 1 for stability against m=1 kink mode in a tokamak ⓘ |
| describes |
loss of axisymmetry due to kink deformation
ⓘ
transition from straight to helical plasma column shape ⓘ |
| field |
magnetohydrodynamics
ⓘ
plasma physics ⓘ |
| historicalPeriod | mid‑20th century plasma physics ⓘ |
| influenced |
development of tokamak safety factor design rules
ⓘ
stability limits in early pinch experiments ⓘ |
| mathematicalForm |
L / (r B_z) < 2π / B_θ for stability of a cylindrical plasma column
ⓘ
q(a) > 1 for stability of m=1 kink in a simple tokamak model ⓘ |
| modeType |
external kink mode
ⓘ
m=1 kink instability ⓘ |
| namedAfter |
Martin David Kruskal
ⓘ
Vitaly Shafranov ⓘ |
| predicts |
kink‑like distortions of plasma column
ⓘ
onset of kink instability ⓘ |
| relatedConcept |
current‑driven instabilities
ⓘ
ideal MHD kink mode ⓘ magnetic shear ⓘ safety factor q profile ⓘ z‑pinch stability ⓘ |
| relatesQuantity |
plasma column length
ⓘ
plasma column radius ⓘ plasma current ⓘ poloidal magnetic field ⓘ safety factor q ⓘ toroidal magnetic field ⓘ |
| usedFor |
design of stable magnetic confinement devices
ⓘ
estimating maximum allowable plasma current ⓘ stability analysis of tokamak edge and core ⓘ |
How these facts were elicited
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You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Subject: Kruskal–Shafranov instability criterion Description of subject: The Kruskal–Shafranov instability criterion is a fundamental condition in plasma physics that predicts when a magnetically confined plasma column becomes unstable to kink-like distortions.
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.