SOME SOLUTIONS OF THE BOLTZMANN EQUATION
One-particle velocity distribution functions for a dilute gas, were found by solving the Boltzmann equation as an initial value problem. The departure of the distribution from the corresponding normal solution was developed in a series, each term being subject to relaxational decay. The pace of this process, called the kinetic stage, is set by the inverses of the lowest positive eigenvalues of the linearised collision operator 0, which serve as relaxation times. During the hydrodynamical stage which follows, the inverse eigenvalues of 0 act as coefficients in the distribution function. The transition from the kinetic to the hydrodynamical stage is marked by the establishment of equilibrium between the effects of streaming and of collisions on the transport currents. During the hydrodynamical developunent, these currents retain stationary values proportional to the existing gradients of mean velocity and temperature. (auth)
- Research Organization:
- Wisconsin. Univ., Madison. Theoretical Chemistry Lab.
- NSA Number:
- NSA-16-019481
- OSTI ID:
- 4840061
- Report Number(s):
- WIS-OOR-31; AD-267035
- Country of Publication:
- United States
- Language:
- English
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A NOTE ON THE RELATIVISTIC BOLTZMANN EQUATION AND SOME APPLICATIONS