KINETIC INTEGRAL SOLUTIONS OF THE BOLTZMANN EQUATION

Journal Article · Tue Oct 15 04:00:00 EDT 1963 · Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D

DOI:https://doi.org/10.1103/PhysRev.132.930· OSTI ID:4641976

MacCallum, C

A kinetic picture is presented from which follow the time-dependent Boltzmann equation in the relaxation-time approximation and an exact solution in the form of a kinetic integral. As a special case of the latter, one obtains Chambers' integral solution of the time-independent equation. Confusion in the literature regarding solutions of the exact versus linearized equations is clarified. (auth)

• Research Organization: Sandia Corp., Albuquerque, N. Mex.
• NSA Number: NSA-17-039455
• OSTI ID: 4641976
• Report Number(s): TID-18704; 0031-899X
• Journal Information: Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D, Journal Name: Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D Vol. Vol: 132; ISSN PHRVA
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

BOLTZMANN EQUATION
DIFFERENTIAL EQUATIONS
EQUATIONS
INTEGRALS
MATHEMATICS AND COMPUTERS