classical equipartition theorem
GPTKB entity
Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
physical phenomenon
|
| gptkbp:appliesTo |
classical systems
|
| gptkbp:describes |
distribution of energy among degrees of freedom
|
| gptkbp:fails_for |
quantum systems at low temperature
|
| gptkbp:field |
gptkb:statistical_mechanics
|
| gptkbp:formedBy |
gptkb:James_Clerk_Maxwell
gptkb:Ludwig_Boltzmann |
| https://www.w3.org/2000/01/rdf-schema#label |
classical equipartition theorem
|
| gptkbp:limitation |
does not account for quantum effects
fails for vibrational modes at low temperature |
| gptkbp:location |
T is absolute temperature
k is Boltzmann constant f is number of degrees of freedom |
| gptkbp:mathematical_expression |
⟨E⟩ = (f/2)kT
|
| gptkbp:relatedTo |
gptkb:Maxwell–Boltzmann_distribution
kinetic theory of gases heat capacity |
| gptkbp:state |
each quadratic degree of freedom has average energy of (1/2)kT
|
| gptkbp:used_in |
derivation of ideal gas law
explanation of Dulong–Petit law |
| gptkbp:year_formulated |
19th century
|
| gptkbp:bfsParent |
gptkb:Rayleigh–Jeans_catastrophe
|
| gptkbp:bfsLayer |
6
|