Interference related corrections to classical gas diffusion in a system of small heterogeneities
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Diffusion of an ideal gas in a system of small spherical heterogeneities (collective of particles and a system of small cavities in homogeneous medium) is considered. The effective diffusion coefficient is calculated using methods of multiple scattering theory. Some possible contribution to diffusion of multiple passing closed loops on the trajectory of a molecule is considered. The interest to such loops is related to constructive interference of amplitudes corresponding to two alternative ways of the loop passing (clockwise and counterclockwise). This interference always exists, irrespective to the medium disorder. In this paper, we show that the interference corrections to classical diffusion lead to appearance of low frequency macroscopic oscillations of the gas concentration and complete stagnation of the diffusion process. The latter resembles the Anderson localization of electrons in a system of impurities in an ideal lattice.
European Physical Journal B: Condensed Matter and Complex Systems
Physical Sciences not elsewhere classified