Landau collision operator

E818277

collision operator kinetic theory operator mathematical operator

The Landau collision operator is a kinetic theory operator used in plasma physics to describe the cumulative effect of many small-angle Coulomb collisions on the evolution of a particle distribution function.

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Observed surface forms (1)

Surface form	Occurrences
Landau kinetic equation	1

Statements (47)

Predicate	Object
instanceOf	collision operator ⓘ kinetic theory operator ⓘ mathematical operator ⓘ
actsOn	particle distribution function ⓘ
appearsIn	Fokker–Planck–Landau equation NERFINISHED ⓘ Landau kinetic equation NERFINISHED ⓘ Vlasov–Landau equation NERFINISHED ⓘ
appliesTo	Coulomb-interacting many-particle systems ⓘ weakly coupled plasmas ⓘ
approximatedBy	Lenard–Bernstein operator NERFINISHED ⓘ Rosenbluth–MacDonald–Judd form NERFINISHED ⓘ
assumes	binary collisions with small deflection angles ⓘ dominance of small-angle Coulomb scattering ⓘ
characteristicFeature	long-range nature of Coulomb interaction ⓘ
conserves	energy ⓘ momentum ⓘ particle number ⓘ
dependsOn	Coulomb logarithm ⓘ relative velocity between particles ⓘ velocity-space gradients of the distribution function ⓘ
derivedFrom	Boltzmann equation in grazing-collision limit ⓘ
describes	cumulative effect of many small-angle Coulomb collisions ⓘ
domain	velocity space ⓘ
drivesSystemTo	Maxwellian equilibrium distribution ⓘ
field	kinetic theory ⓘ plasma physics ⓘ statistical mechanics ⓘ
hasVariant	linearized Landau collision operator NERFINISHED ⓘ multi-species Landau collision operator NERFINISHED ⓘ
introducedBy	Lev Landau NERFINISHED ⓘ
is	conservative in particle number ⓘ nonlinear integro-differential operator ⓘ
mathematicalForm	velocity-space divergence of a flux in velocity space ⓘ
namedAfter	Lev Landau NERFINISHED ⓘ
relatedTo	Boltzmann collision operator NERFINISHED ⓘ Fokker–Planck operator NERFINISHED ⓘ
satisfies	H-theorem NERFINISHED ⓘ
usedFor	describing collisional relaxation in plasmas ⓘ evolution of velocity distribution in plasmas ⓘ modeling collisional transport in plasmas ⓘ
usedIn	astrophysical plasma modeling ⓘ magnetically confined fusion plasma modeling ⓘ neoclassical transport theory ⓘ space plasma physics ⓘ
usedWith	Maxwell–Boltzmann distribution NERFINISHED ⓘ Vlasov operator NERFINISHED ⓘ
yearProposed	1936 ⓘ

Referenced by (2)

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

Boltzmann collision operator → generalizedTo → Landau collision operator ⓘ

Landau interaction function → appearsIn → Landau collision operator ⓘ

this entity surface form: Landau kinetic equation