Pairpair correlations in simple fluids
Abstract
Correlations in a fluid between pairs of spherically symmetric atoms are calculated for room temperature Argon and the quantum ground state of He4. These correlations are studied through a distribution function. An approximate integral equation is derived for this pairpair distribution function. The important aspects of the derivation include the use of the normalization integral (of a wave function) as a generating function. A function derivative is then applied to an approximation for the pair distribution function to obtain the integral equation. The pairpair distribution is needed in the theory of second order light scattering (or Raman scattering). The Monte Carlo method is described and used to calculate the pairpair correlation function for the quantum ground state of He4. An integral equation for the three particle correlation function is derived. A solution for the three particle distribution function is found only in the low density limit.
 Publication:

Ph.D. Thesis
 Pub Date:
 November 1977
 Bibcode:
 1977PhDT........61P
 Keywords:

 Argon;
 Distribution Functions;
 Helium Isotopes;
 Statistical Correlation;
 EulerLagrange Equation;
 Functional Analysis;
 Ground State;
 Light Scattering;
 Monte Carlo Method;
 Quantum Theory;
 Fluid Mechanics and Heat Transfer