ON THE STATISTICAL MECHANICAL THEORY OF BROWNIAN MOTION,

Abstract

It is shown that a heavy particle in a one dimensional assembly of harmonic oscillators performs Brownian motion provided that the spectral density of eigenvalues of the interaction matrix is proportional to 1/omega for omega approaching 0. The interaction matrix may otherwise be completely arbitrary. A generalization of this result to D dimensional systems is given. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 29, 1964
Accession Number
AD0619645

Entities

People

  • E. Braun
  • P. Mazur

Tags

DTIC Thesaurus Topics

  • Assembly
  • Brownian Motion
  • Differential Equations
  • Eigenvalues
  • Electronic Equipment
  • Equations
  • Fabrication
  • Mathematical Analysis
  • Oscillators
  • Particles

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Pulsed Power and Plasma Physics.