Dynamical current correlation functions of simple classical liquids for intermediate wave numbers
- 1 June 1975
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 11 (6), 2173-2190
- https://doi.org/10.1103/physreva.11.2173
Abstract
The longitudinal and transversal current-current correlation functions of simple classical liquids are expressed in terms of restoring forces and frequency-dependent relaxation kernels within the frame-work of Mori's theory. The spectra of the relaxation kernels are approximated by the decay of one-mode excitation into pairs of two longitudinal modes and into pairs of one longitudinal and one transversal mode. The decay vertex is given by an irreducible three-particle distribution function which is approximately expressed in terms of two-particle distribution functions taking three-particle hard-core correlations into account. The resulting nonlinear integral equations are solved by iteration for liquid argon parameters and the obtained current excitation spectra are compared with the curves found by computer simulations and by neutron scattering experiments.Keywords
This publication has 54 references indexed in Scilit:
- Collective modes, damping, and the scattering function in classical liquidsJournal of Statistical Physics, 1973
- Diffusive and Collective Motion in Classical FluidsThe Journal of Chemical Physics, 1972
- Properties of the Low-Density Memory FunctionPhysical Review A, 1972
- Kinetic equations and time correlation functions of critical fluctuationsAnnals of Physics, 1970
- On the Heisenberg model in the paramagnetic region and at the critical pointThe European Physical Journal A, 1968
- Transport Coefficients near the Liquid-Gas Critical PointPhysical Review B, 1968
- Reformulation of the Representation of Transport Coefficients Using the Autocorrelation-Function Formalism and the Linear-Trajectory ApproximationThe Journal of Chemical Physics, 1967
- Atomic Motion in Liquid ArgonPhysical Review B, 1967
- Approximate Eigenfunctions of the Liouville Operator in Classical Many-Body Systems. II. Hydrodynamic VariablesPhysical Review B, 1967
- Liquid dynamics and inelastic scattering of neutronsPhysica, 1959