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RESEARCH PRODUCT
On the generalization of the Boltzmann equation
J. BielJoaquín Marrosubject
Laplace's equationPhysicsPartial differential equationZwanzig projection operatorIntegro-differential equationFunctional equationApplied mathematicsFokker–Planck equationBoltzmann equationBhatnagar–Gross–Krook operatordescription
Starting from the Liouville equation and making use of projection operator techniques we obtain a compact equation for the rate of change of then-particle momentum distribution function to any order in the density. This equation is exact in the thermodynamic limit. The terms up to second order in the density are studied and expressions are given for the errors committed when one makes the usual hypothesis to derive generalized Boltzmann equations. Finally the Choh-Uhlenbeck operator is obtained under additional assumptions.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1974-03-01 | Il Nuovo Cimento B Series 11 |