THE ROLE OF DROPLETS AND BUBBLES IN THE 'CONDENSATION' OF THE ONE DIMENSIONAL GAS OF KAC, UHLENBECK AND HEMMER.

Abstract

The functional integral representing the grand canonical partition function of the Kac, Uhlenbeck and Hemmer model is approximated, in a systematic way, to give a much simpler functional integral representing one dimensional Brownian motion with absorption. It is shown that an integration over paths which represent the particle switching any number of times through the absorption-barrier leads to the 'phase transition' of Kac, Uhlenbeck and Hemmer. (Author)

Document Details

Document Type
Technical Report
Publication Date
Nov 30, 1969
Accession Number
AD0699952

Entities

People

  • David J. Vezzetti
  • Frits W. Wiegel
  • John B. Jalickee

Organizations

  • Northwestern University

Tags

DTIC Thesaurus Topics

  • Absorption
  • Brownian Motion
  • Condensation
  • Integrals
  • Isothermal Processes
  • Particles
  • Phase Transformations
  • Switching
  • Transitions

Readers

  • Calculus or Mathematical Analysis
  • Combustion and Flow Dynamics.
  • Quantum Dot Semiconductor Device Photonics and Graphene Optoelectronic Materials and THz Physics.