DIFFUSION WITH 'COLLISIONS' BETWEEN PARTICLES,

Abstract

Two or more particles diffuse on the same line. Each moves independently of the others according to the Brownian movement (Wiener process) except when collisions occur. An assumption is made about what happens at collisions. It is shown that if initially the particles are sprinkled on the line according to a Poisson process with rate 1, then the displacement of a single particle, for large time, has approximately a Gaussian distribution with standard deviation (2t/pi) to the 1/4 power, rather than t to the 1/2 power as in the case of an unimpeded particle. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1965
Accession Number
AD0618499

Entities

People

  • T. E. Harris

Organizations

  • RAND Corporation

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Collisions
  • Data Science
  • Diffusion
  • Displacement
  • Gaussian Distributions
  • Information Science
  • Mathematics
  • Particles
  • Standards

Readers

  • Aerosol Science/Aerosol Physics
  • Calculus or Mathematical Analysis
  • Combustion Dynamics and Shock Wave Physics.