KINEMATICS OF DIFFUSION, FLUIDS AND PLASMA BY CONTINUOUS MOVEMENT AND FINITE VELOCITIES,
Abstract
Einstein, Chandrasekhar, and others using Markov processes have derived parabolic differential equations governing physical processes such as Brownian motion, diffusion, and stellar dynamics. Unfortunately, a mathematically admissable limiting process used in these derivations leads to infinite particle velocities. While Einstein and Chandrasekhar realized the drastic nature of the approximations employed in the parabolic formulation, there has been widespread indiscriminate use and generalization of their equations without regard to the fundamental limitations imposed by those approximations. It is believed that the following is the framework of a general theory which provides a systematic, comprehensive, and useful approach to studying phenomena based on particulate motion. The present 'hyperbolic' theory is a modification and generalization of a hyperbolic diffusion model and attempts to represent more accurately the physical process of diffusion. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1970
- Accession Number
- AD0713588
Entities
People
- Ronald E. Meyers