Fermi–Dirac statistics

E4993

quantum statistics statistical distribution

Fermi–Dirac statistics is the quantum statistical framework that describes the distribution and behavior of indistinguishable fermions, such as electrons, which obey the Pauli exclusion principle.

Try in SPARQL Jump to: Surface forms Statements Referenced by

All labels observed (4)

Label	Occurrences
Fermi–Dirac statistics canonical	17
Fermi–Dirac distribution	8
Fermi–Dirac statistics (for associated fields)	1
Fermi–Dirac statistics of electrons	1

Statements (49)

Predicate	Object
instanceOf	quantum statistics ⓘ statistical distribution ⓘ
appliesTo	electrons ⓘ fermions ⓘ neutrinos ⓘ neutrons ⓘ particles with half-integer spin ⓘ protons ⓘ quarks ⓘ
assumes	indistinguishability of particles ⓘ quantum mechanical description of states ⓘ
basedOnPrinciple	Pauli exclusion principle ⓘ
contrastsWith	Bose–Einstein statistics ⓘ Maxwell–Boltzmann statistics ⓘ
describes	degenerate Fermi gas ⓘ equilibrium distribution of indistinguishable fermions ⓘ occupation number distribution of fermions ⓘ
domain	quantum mechanics ⓘ thermodynamics ⓘ
formulatedBy	Enrico Fermi ⓘ Paul Dirac ⓘ
hasDistributionFunction	f(E) = 1 / (exp((E − μ) / kT) + 1) ⓘ
hasParameter	Boltzmann constant ⓘ surface form: Boltzmann constant k chemical potential μ ⓘ temperature T ⓘ
historicalDevelopment	formulated in the 1920s ⓘ
implies	maximum of one fermion per single-particle quantum state ⓘ
mathematicalFramework	grand canonical ensemble ⓘ
namedAfter	Enrico Fermi ⓘ Paul Dirac ⓘ
reducesTo	Maxwell–Boltzmann statistics at high temperature and low density ⓘ
relatedConcept	Fermi energy ⓘ Fermi gas ⓘ Fermi energy ⓘ surface form: Fermi level degenerate matter ⓘ
usedIn	astrophysics ⓘ condensed matter physics ⓘ metallic conduction theory ⓘ neutron star models ⓘ nuclear physics ⓘ quantum many-body theory ⓘ semiconductor physics ⓘ solid-state physics ⓘ statistical mechanics ⓘ white dwarf star models ⓘ
usedToExplain	degeneracy pressure in neutron stars ⓘ degeneracy pressure in white dwarfs ⓘ electron distribution in metals ⓘ electronic heat capacity of metals ⓘ

Referenced by (27)

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

Bose–Einstein statistics → contrastsWith → Fermi–Dirac statistics ⓘ

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

Boltzmann constant → appearsIn → Fermi–Dirac statistics ⓘ

this entity surface form: Fermi–Dirac distribution

Chandrasekhar limit → basedOn → Fermi–Dirac statistics ⓘ

Enrico Fermi → knownFor → Fermi–Dirac statistics ⓘ

Pauli exclusion principle → hasConsequence → Fermi–Dirac statistics ⓘ

Pauli exclusion principle → relatedTo → Fermi–Dirac statistics ⓘ

this entity surface form: Fermi–Dirac distribution

Fermi energy → relatedTo → Fermi–Dirac statistics ⓘ

tau lepton → statistics → Fermi–Dirac statistics ⓘ

muon neutrino → obeysStatistics → Fermi–Dirac statistics ⓘ

Boltzmann distribution → contrastsWith → Fermi–Dirac statistics ⓘ

this entity surface form: Fermi–Dirac distribution

Fermi gas → obeys → Fermi–Dirac statistics ⓘ

Fermi gas → hasDistributionFunction → Fermi–Dirac statistics ⓘ

this entity surface form: Fermi–Dirac distribution

k_B → appearsInEquation → Fermi–Dirac statistics ⓘ

this entity surface form: Fermi–Dirac distribution

Fermi → notableFor → Fermi–Dirac statistics ⓘ

subject surface form: Enrico Fermi

Dirac Lagrangian → obeys → Fermi–Dirac statistics ⓘ

Dirac field → hasStatistics → Fermi–Dirac statistics ⓘ

Dirac spinors → obeys → Fermi–Dirac statistics ⓘ

this entity surface form: Fermi–Dirac statistics (for associated fields)

spin–statistics theorem → isRelatedTo → Fermi–Dirac statistics ⓘ

Pauli paramagnetism → hasCause → Fermi–Dirac statistics ⓘ

this entity surface form: Fermi–Dirac statistics of electrons

Pauli paramagnetism → describedBy → Fermi–Dirac statistics ⓘ

this entity surface form: Fermi–Dirac distribution

Sommerfeld expansion in statistical mechanics → appliesTo → Fermi–Dirac statistics ⓘ

this entity surface form: Fermi–Dirac distribution

electron neutrino → statistics → Fermi–Dirac statistics ⓘ

Boson → contrastedBy → Fermi–Dirac statistics ⓘ

Electron → hasStatistics → Fermi–Dirac statistics ⓘ

Composite fermion → obeysStatistics → Fermi–Dirac statistics ⓘ

Landauer–Büttiker formalism → usesConcept → Fermi–Dirac statistics ⓘ

this entity surface form: Fermi–Dirac distribution