DIFFUSION: A RELATIVISTIC APPRAISAL,
Abstract
The classic equation describing diffusion is not consistent with the principles of special relativity. Specifically, its solutions permit the diffusive flow of particles to proceed at speeds in excess of the speed of light. A careful derivation, proceeding from the covariant form of the Boltzmann equation, results in a diffusion equation which exhibits the correct causal behavior. This equation assumes a particularly simple form, known otherwise as the telegrapher's equation -- when the collision frequency for momentum transfer is independent of particle speed. The general solution for diffusion in one dimension is presented, revealing the causal character of the diffusive flow. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1967
- Accession Number
- AD0662908
Entities
People
- Don Kelly
Organizations
- Yale University