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.

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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 ⓘ

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Referenced by (2)

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Martin David Kruskal → notableWork → Kruskal–Shafranov instability criterion ⓘ
Martin David Kruskal → knownFor → Kruskal–Shafranov limit ⓘ
subject linked to: Kruskal
linked to: Kruskal–Shafranov instability criterion