Theory of Self‐Diffusion in Classical Fluids: The Van Hove Self‐Correlation Function G8(r, t)

TLDR: In this article, the Van Hove self-correlation function Gs(r, t) is calculated in configuration space (analogous to generalized hydrodynamic equations) and phase space (kinetic equations) which are then suitably approximated and solved using either perturbation or modeling methods.

Abstract: Projection operator techniques have been applied to study the diffusion of a test particle in a classical many‐particle system such as a liquid or a plasma. Particular attention has been directed towards the calculation ot the Van Hove self‐correlation function Gs(r, t). This calculation proceeds through the development of exact descriptions of Gs(r, t), both in configuration space (analogous to generalized hydrodynamic equations) and phase space (kinetic equations) which are then suitably approximated and solved using either perturbation or modeling methods. These results compare quite favorably with molecular dynamics computer experiments.