Statistical mechanics of dense ionized matter. III. Dynamical properties of the classical one-component plasma
- 1 March 1975
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 11 (3), 1025-1039
- https://doi.org/10.1103/physreva.11.1025
Abstract
We present extensive molecular-dynamics (MD) computations of the time-dependent correlation functions of the classical one-component plasma over a wide range of thermodynamic states characterized by the dimensionless parameter , where is the ion-sphere radius. The computed velocity autocorrelation functions exhibit marked oscillations for at a frequency close to the plasma frequency, showing the existence of strong coupling between single-particle and collective modes; this is confirmed by a standard memory-function analysis. The dynamical structure factor consists of very sharp peaks near the plasma frequency, up to wave vectors of order . The resulting dispersion curve exhibits negative dispersion for . A simple memory-function analysis reproduces the MD data very well. At our computations also provide evidence of well-defined shear modes. For large wave vectors a second, high-frequency transverse mode appears. From the correlation functions we have finally extracted estimates of the diffusion constant and the coefficient of shear viscosity. Near crystallization the shear viscosity has a value which is unusually large compared with that of simple liquids near the triple point.
Keywords
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