Abstract
A study is made of the properties of solutions for a one-dimensional single-velocity transport equation for particles in a medium in which the probabilities of the elementary processes depend on the direction, and the scattering indicatrix (phase function) is spherical. It is shown that the linear parameter of the asymptotic exponential reduction in the global particle density when orientational inhomogeneity is allowed for can differ strongly from the value found by averaging the probabilities of the elementary processes over the directions. The role played by the structure of the orientational inhomogeneity is considered. The results are generalized to the case of anisotropy of the scattering.
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Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 5, pp. 46–50, September–October, 1971.
I should like to thank N. A. Khizhnyak for his constant interest.
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Dolgov, A.S. Distribution function of isotropically scattered particles in anisotropic structures. J Appl Mech Tech Phys 12, 671–675 (1971). https://doi.org/10.1007/BF00851119
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DOI: https://doi.org/10.1007/BF00851119