AN ELASTIC COLLISION MODEL FOR THE KINETIC THEORY OF GASES
Abstract
From investigation of studies of impact phenomena of various types of particles and considering the convenience of kinetic theoretical treatment of gases, a semi-empirical model of elastic collisions is proposed. With respect to encounters of charged particles, binary collision is defined in a new sense. In this model, the collision probability (total cross section) of two particles may be a function of their relative velocity. With respect to a gas composed of two or more types of particles, partitions of momentum and of energy after collisions are plausibly determined, and the conditions which secure the stability of the Maxwell distribution are considered. By this model, analytical treatments of the Boltzmann equation are simplified. The equation may be solved without losing the main characteristics of the pertinent phenomena, even when the state of a gas deviates considerab y from thermal equilibrium. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1961
- Accession Number
- AD0259381
Entities
People
- Toyoki Koga
Organizations
- University of Southern California