On the Classical Boltzmann Equation for Gases

Journal Article · Sun Jan 01 04:00:00 EST 1961 · Journal of Chemical Physics

DOI:https://doi.org/10.1063/1.1701238· OSTI ID:4837238

Andrews, Frank C.

With great simplicity the Boltzmann equation for dilute classical gases is formulated from the reduced Liouville equation by using the three assumptions: no three-body effects, collision time much less than the experimental time, and negligible change in local properties of the system over distances of order of the range of the intermolecular forces. The nature of these assumptions sheds some light on recent attempts to generalize the Boltzmann equation. It was easy formally to relax the first assumption to permit more than two-body effects. The resulting equation is an intuitive extension of the Boltzmann equation.

• Research Organization: Univ. of California, Berkeley
• Sponsoring Organization: USDOE
• NSA Number: NSA-15-031386
• OSTI ID: 4837238
• Journal Information: Journal of Chemical Physics, Journal Name: Journal of Chemical Physics Journal Issue: 3 Vol. 35; ISSN JCPSA6; ISSN 0021-9606
• Publisher: American Institute of Physics (AIP)
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
BINDING ENERGY
BOLTZMANN EQUATION
COLLISIONS
DIFFERENTIAL EQUATIONS
GASES
LIOUVILLE EQUATION
MANY BODY PROBLEM
MOLECULES