ON A BOUNDARY VALUE PROBLEM IN THE KINETIC THEORY OF BROWNIAN MOTION

Abstract

The proposed boundary value problem in the kinetic theory of Brownian movement was solved. It is, in principle, possible to calculate the velocity distribution of the Brownian particles as a function of distance from one of the two walls. In particular, if one wall is an absorbing barrier, 0, one may calculate how the distribution in velocities is skewed as the absorbing wall is approached. This particular solution may have some relevance to the theory of plasma probes. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1961
Accession Number
AD0267517

Entities

People

  • Ira M. Cohen

Organizations

  • Princeton University

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Brownian Motion
  • Kinetic Theory
  • Motion
  • Particles

Fields of Study

  • Mathematics

Readers

  • Mathematical Modeling and Probability Theory.
  • Plasma Physics.
  • Statistical inference.