Liouville's theorem (Hamiltonian mechanics)
GPTKB entity
Statements (20)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:Hamiltonian_systems
|
| gptkbp:category |
gptkb:physics_theorem
|
| gptkbp:consequence |
incompressibility of phase flow
|
| gptkbp:field |
gptkb:Hamiltonian_mechanics
gptkb:classical_mechanics |
| gptkbp:form |
dρ/dt = 0 along trajectories
|
| gptkbp:implies |
conservation of phase-space volume
|
| gptkbp:namedAfter |
gptkb:Joseph_Liouville
|
| gptkbp:publishedIn |
1838
|
| gptkbp:relatedTo |
gptkb:statistical_mechanics
gptkb:Liouville's_equation ergodic theory symplectic geometry |
| gptkbp:state |
the phase-space distribution function is constant along the trajectories of the system
|
| gptkbp:usedIn |
derivation of Boltzmann equation
statistical ensembles |
| gptkbp:bfsParent |
gptkb:Joseph_Liouville
|
| gptkbp:bfsLayer |
6
|
| https://www.w3.org/2000/01/rdf-schema#label |
Liouville's theorem (Hamiltonian mechanics)
|