Maxwell–Boltzmann statistics

E7350

classical statistics physical theory statistical theory

Maxwell–Boltzmann statistics is a classical statistical framework in physics that describes the distribution of speeds or energies among distinguishable, non-quantum particles in thermal equilibrium.

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Observed surface forms (3)

Surface form	Occurrences
Maxwell–Boltzmann distribution	8
Maxwell–Boltzmann distribution precursor	1
equilibrium Maxwell–Boltzmann distribution	1

Statements (47)

Predicate	Object
instanceOf	classical statistics ⓘ physical theory ⓘ statistical theory ⓘ
appliesTo	classical particles ⓘ distinguishable particles ⓘ ideal gas ⓘ non-quantum particles ⓘ
assumes	Boltzmann counting of microstates ⓘ classical limit ⓘ dilute gas ⓘ distinguishability of particles ⓘ no quantum degeneracy ⓘ non-interacting particles ⓘ thermal equilibrium ⓘ
basedOn	Boltzmann–Gibbs entropy in statistical mechanics ⓘ surface form: Boltzmann entropy formula classical phase space ⓘ
breaksDownWhen	particles are indistinguishable quantum mechanically ⓘ quantum effects are significant ⓘ
category	classical statistical mechanics ⓘ probability distributions in physics ⓘ
contrastsWith	Bose–Einstein statistics ⓘ Fermi–Dirac statistics ⓘ
dependsOn	Boltzmann constant ⓘ absolute temperature ⓘ
describes	distribution of particle energies ⓘ distribution of particle speeds ⓘ equilibrium properties of gases ⓘ mean speed of gas molecules ⓘ most probable speed of gas molecules ⓘ root-mean-square speed of gas molecules ⓘ
developedBy	James Clerk Maxwell ⓘ Ludwig Boltzmann ⓘ
field	statistical mechanics ⓘ thermodynamics ⓘ
historicalPeriod	19th century physics ⓘ
mathematicalForm	exponential of negative energy over kT ⓘ
relatedTo	Boltzmann distribution ⓘ Maxwell–Boltzmann statistics self-linksurface differs ⓘ surface form: Maxwell–Boltzmann distribution equipartition theorem ⓘ kinetic theory of gases ⓘ partition function ⓘ
usedFor	calculating transport coefficients ⓘ deriving ideal gas law ⓘ modeling classical plasmas ⓘ modeling dilute molecular gases ⓘ
validWhen	high temperature limit ⓘ low particle density ⓘ

Referenced by (14)

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

Boltzmann constant → appearsIn → Maxwell–Boltzmann statistics ⓘ

this entity surface form: Maxwell–Boltzmann distribution

k_B → appearsInEquation → Maxwell–Boltzmann statistics ⓘ

this entity surface form: Maxwell–Boltzmann distribution

Bose–Einstein statistics → contrastsWith → Maxwell–Boltzmann statistics ⓘ

Fermi–Dirac statistics → contrastsWith → Maxwell–Boltzmann statistics ⓘ

Sackur–Tetrode equation → derivedFrom → Maxwell–Boltzmann statistics ⓘ

H-theorem → hasConsequence → Maxwell–Boltzmann statistics ⓘ

this entity surface form: equilibrium Maxwell–Boltzmann distribution

Illustrations of the Dynamical Theory of Gases → introducedConcept → Maxwell–Boltzmann statistics ⓘ

this entity surface form: Maxwell–Boltzmann distribution precursor

James Clerk Maxwell → knownFor → Maxwell–Boltzmann statistics ⓘ

this entity surface form: Maxwell–Boltzmann distribution

Boltzmann distribution → relatedTo → Maxwell–Boltzmann statistics ⓘ

this entity surface form: Maxwell–Boltzmann distribution

Boltzmann equation → relatedTo → Maxwell–Boltzmann statistics ⓘ

this entity surface form: Maxwell–Boltzmann distribution

Boltzmann–Gibbs entropy in statistical mechanics → relatedTo → Maxwell–Boltzmann statistics ⓘ

subject surface form: Boltzmann–Gibbs entropy

this entity surface form: Maxwell–Boltzmann distribution

Illustrations of the Dynamical Theory of Gases → relatedTo → Maxwell–Boltzmann statistics ⓘ

this entity surface form: Maxwell–Boltzmann distribution

Maxwell–Boltzmann statistics → relatedTo → Maxwell–Boltzmann statistics self-linksurface differs ⓘ

this entity surface form: Maxwell–Boltzmann distribution

equipartition theorem → relatedTo → Maxwell–Boltzmann statistics ⓘ