Abstract
The paper presents approximate calculations of dimensionality and lattice symmetry effects in the wave vector and frequency dependent diffusional response of disordered lattices. Numerical results are given and comparatively discussed for the tracer diffusion correlation function and the quasi-elastic incoherent scattering width in triangular, simple square and simple cubic lattices, only the restriction of double occupancy avoidance being taken into account. The quasi-elastic coherent scattering width is estimated for a triangular system possessing liquid-like structural disorder by means of the simple inclusion of a spread in jump lengths around a preferred set of jumps. Qualitative contact is made with recent neutron scattering experiments on alkali-metal graphite intercalation compounds.
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Chaturvedi, D.K., Tosi, M.P. Generalized diffusion and quasi-elastic scattering widths in two-dimensional systems. Z. Physik B - Condensed Matter 58, 49–55 (1984). https://doi.org/10.1007/BF01469436
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DOI: https://doi.org/10.1007/BF01469436