Velocity Autocorrelation Function and Dynamical Structure Factor of the Classical One-Component Plasma

Abstract

We present molecular-dynamics computations of the velocity autocorrelation function and the dynamical structure factor of the classical one-component plasma. At high densities, the former exhibits marked oscillations, whereas the latter consists of very sharp peaks near the plasma frequency, up to wave vectors of order $\frac{1}{a}$, where $a$ is the ion-sphere radius. The resulting dispersion curve is discussed.