Stochastic Model of a Liquid and Cold Neutron Scattering. II

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Abstract
A simple model for the atomic motions in a liquid has been constructed based on the assumption that rapidly varying motions behave similarly to those in a solid, whereas slowly varying motions behave according to Langevin's equation for diffusion. This has been accomplished by writing the displacement of an atom as a sum of statistically independent "modes." Each "mode" is assumed to obey Langevin's equation for a harmonic oscillator with a certain frequency and a certain damping. To account for diffusion it is assumed that for "modes" below a certain frequency the harmonic restoring force is absent and thus these "modes" obey Langevin's equation for diffusion.

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