Abstract
The distinct term of the van Hove function G(r, t) is approximated by a Vineyard type convolution approximation. The convolution is made with a certain “self” correlation function G sd (r, t) generated by dynamics of pairs of particles. This G sd (r, t) function accounts partly for cross correlation and thus improves the results achievable by the convolution with the pure self term of G(r, t). The results computed by the present method are compared with molecular dynamics data at two liquid-like densities. Good agreement is found for the intermediate range of wave vectors. The approximation is recommended, in particular, for purposes of Fourier transformation.
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