Ledoux criterion

E350920

The Ledoux criterion is an astrophysical stability condition that determines when a stratified stellar layer becomes convectively unstable, accounting for both temperature and composition gradients.

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Ledoux criterion canonical 2

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Statements (46)

Predicate Object
instanceOf astrophysical stability criterion
convective instability criterion
appliesTo stellar interiors
stratified stellar layers
appliesUnder linear perturbation theory
assumes hydrostatic equilibrium
local thermodynamic equilibrium
characterizes stability against convection
comparedWith Schwarzschild criterion
considers composition gradient
mean molecular weight gradient
temperature gradient
contrastsWith Schwarzschild criterion neglecting composition gradients
dependsOn adiabatic temperature gradient
gradient of mean molecular weight
radiative temperature gradient
field astrophysics
stellar astrophysics
hasEffectOn extent of convective envelopes in stars
size of convective cores in stars
hasFormulationType local stability condition
hasMathematicalForm inequality involving temperature and composition gradients
ignores magnetic fields
viscosity
influences chemical mixing in stars
nucleosynthesis yields
stellar lifetimes
instabilityCondition layer convectively unstable if combined temperature and composition gradients exceed adiabatic value
moreGeneralThan Schwarzschild criterion
namedAfter Paul Ledoux
relatedTo semiconvection
thermohaline instability
relatesTo Brunt–Väisälä frequency
stabilityCondition layer stable if stabilizing composition gradient overcomes destabilizing temperature gradient
usedBy stellar evolution codes
usedFor determining convective instability
determining dynamical stability of stellar layers
usedIn asteroseismology interpretations
massive star evolution modeling
mixing processes in stars
modeling double-diffusive convection
modeling of massive main-sequence stars
modeling of red giant stars
modeling semiconvective zones
stellar evolution calculations
stellar structure models

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Referenced by (2)

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

Schwarzschild criterion isSpecialCaseOf Ledoux criterion
Schwarzschild criterion relatedTo Ledoux criterion