Exact solutions of the Boltzmann equation
Journal Article
·
· Phys. Fluids; (United States)
The nonlinear Boltzmann equation for the relaxation to equilibrium of a homogeneous one-component gas, is considered for a class of collision models. The models are characterized by elastic cross sections inversely proportional to the relative speed, but with arbitrary dependence on center-of-mass scattering angle. The Boltzmann equation is solved exactly for a particular family of physically interesting initial distributions. The distribution functions are of the similarity form and consist of the product of a Maxwell function with ''time-dependent temperature'' and a linear function of v/sup 2/.
- Research Organization:
- Division of Engineering and Applied Physics, Harvard University, Cambridge, Massachusetts 02138
- OSTI ID:
- 7093720
- Journal Information:
- Phys. Fluids; (United States), Vol. 20:10
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOLTZMANN EQUATION
ANALYTICAL SOLUTION
BOLTZMANN STATISTICS
COLLISION INTEGRALS
CROSS SECTIONS
DISTRIBUTION FUNCTIONS
GASES
DIFFERENTIAL EQUATIONS
EQUATIONS
FLUIDS
INTEGRALS
657006* - Theoretical Physics- Statistical Physics & Thermodynamics- (-1987)
GENERAL PHYSICS
BOLTZMANN EQUATION
ANALYTICAL SOLUTION
BOLTZMANN STATISTICS
COLLISION INTEGRALS
CROSS SECTIONS
DISTRIBUTION FUNCTIONS
GASES
DIFFERENTIAL EQUATIONS
EQUATIONS
FLUIDS
INTEGRALS
657006* - Theoretical Physics- Statistical Physics & Thermodynamics- (-1987)