2017
Том 69
№ 9

All Issues

System of sticking diffusion particles of variable mass

Konarovskyi V. V.

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Abstract

We construct a mathematical model of an infinite system of diffusion particles with interaction whose masses affect the diffusion coefficient. The particles begin to move from a certain stationary distribution of masses. Their motion is independent up to their meeting. Then the particles become stuck and their masses are added. As a result, the diffusion coefficient varies as a function inversely proportional to the square root of the mass. It is shown that the mass transported by particles is also characterized by a stationary distribution.

English version (Springer): Ukrainian Mathematical Journal 62 (2010), no. 1, pp 97-113.

Citation Example: Konarovskyi V. V. System of sticking diffusion particles of variable mass // Ukr. Mat. Zh. - 2010. - 62, № 1. - pp. 90 - 103.

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