THE FINITE CORRELATION RANGE OF THE NONEQUILIBRIUM PAIR DISTRIBUTION FUNCTION.

Abstract

The main conceptual features of the work can be summarized as follows. The two-particle correlation function for systems which are not in thermodynamic equilibrium plays a central role in modern kinetic theory. The theoretical methods currently used to determine the correlation function essentially agree in leading order with Bogolubov's 'adiabatic' result. Bogolubov's theory yields a function with an infinite spatial range when the particle separation is parallel to the relative velocity. The paper shows, however, that a proper asymptotic treatment yields a nonadiabatic correlation function whose range is finite (of the order of the mean free path) even with the total neglect of three-body effects. This result demonstrates that the finite spatial range is due primarily to the statistical nature of the correlation function rather than due to three-body collisions. A method of expansion is then developed that yields a satisfactory lowest-order collision integral and correlation function, opening the possibility of calculating nonequilibrium phenomena beyond lowest order. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1970
Accession Number
AD0701448

Entities

People

  • Guido Sandri

Tags

DTIC Thesaurus Topics

  • Collisions
  • Distribution Functions
  • Integrals
  • Kinetic Theory
  • Mathematics
  • Mean Free Path
  • Particles
  • Scientific Theories

Fields of Study

  • Physics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Fluid Dynamics.
  • Space Exploration and Orbital Mechanics.