The itinerant oscillator model of liquids

A stochastic model for the evaluation of the classical velocity autocorrelation function of an atom in a simple liquid is derived. It is shown that in the harmonic approximation the mean frequency of the thermal vibration ω0 can be expressed in terms of the pair potential and the pair correlation function. The calculated value of ω0 for liquid argon is in excellent agreement with the value found from a comparison of the theoretical velocity spectrum with one obtained recently from a Monte Carlo calculation. The velocity spectra of a methane molecule and of a hydrogen molecule in liquid argon are calculated to aid in the interpretation of recent neutron scattering experiments. The calculation of the scattering cross sections will be given in a separate paper.

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