A Self-Consistent Theory of Memory Function in Classical Simple Liquids. I : Incoherent Scattering Law S_s (k,ω)

概要

論文の詳細を見る
A self-consistent theory of memory function in classical simple liquids in developed to study the incoherent scattering law S_s (k,ω). In doing this, and exact formal expression for the memory function is obtained in terms of that of a free particle and of a polarization function in which all polarization effects associated with the self part of the density fluctuation are incorporated. By the use of a high-frequency expansion of the memeory function, an explicit expression for the polarization function is obtained in terms of an interaction-part of a second order memeory function. A Gaussian approximation is employed for the inverse Laplace transform of the polarization function. It is shown that this gives the approximate sixth and higher order frequency moments of S_s (k,ω) to infinite orders as well as the correct zeroth, second and fourth moments. Numerical calculations of S_s (k,ω) and the full width at half maximum are made for liquid argon. The results thus obtained are shown to be in fairly good agreement with experimental data from incoherent neuron scattering measurements for momentum transfer k=1.0〜4.0A^^°^<-1> and molecular-dynamics calculations.
理論物理学刊行会の論文
1977-07-25