Density and Temperature Dependence of the Static Structure Factor of Dense Fluid Helium

摘要

The report consists of three parts dealing with the density and temperature dependent static structure factor S(k) of dense fluid helium-4. In the first chapter a density derivative, which is determined by the triplet correlation function, is compared with the proposal for g(3)(r vector, S vector) made by Winfield and Egelstaff. The proposed g(3)(r vector, S vector) gives for at least one thermodynamic state a reasonable prediction for the experiment. In the second chapter two fluid models are adjusted to experimentally obtained S(k) data. One model is based upon the Percus-Yevick theory for a hard sphere-like fluid, the other model is based upon the Mean Spherical Approximation for Lennard-Jones fluids. A comparison is made of the characteristic fit parameter(s). The numerical values of the experimentally obtained S(k)'s are tabulated in chapter 3.