Accession Number:

AD0662908

Title:

DIFFUSION: A RELATIVISTIC APPRAISAL,

Descriptive Note:

Corporate Author:

YALE UNIV NEW HAVEN CONN

Personal Author(s):

Report Date:

1967-01-01

Pagination or Media Count:

17.0

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 telegraphers 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

Subject Categories:

  • Plasma Physics and Magnetohydrodynamics
  • Quantum Theory and Relativity

Distribution Statement:

APPROVED FOR PUBLIC RELEASE