Measurable Structure Factor of a Multi-Species Polydisperse Percus-Yevick Fluid with Schulz Distributed Diameters

Abstract

An analytical function is presented of the measurable structure factor of a multi-species polydisperse Percus-Yevick fluid consisting of spherical particles with Schulz distributed diameters. As a demonstration, polydispersity effects on some structural properties in the single species polydisperse fluid are investigated. These properties include the measurable structure factor, the structure factor describing the total density fluctuation, and the differential cross section of the particle scattering. A discussion is also given on their behaviours by comparing them with each other.