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System of sticking diffusion particles of variable mass

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Ukrainian Mathematical Journal Aims and scope

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.

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian National Academy of Sciences, Kyiv, Ukraine

    V. V. Konarovs’kyi

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  1. V. V. Konarovs’kyi
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 62, No. 1, pp. 90–103, January, 2010.

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Konarovs’kyi, V.V. System of sticking diffusion particles of variable mass. Ukr Math J 62, 97–113 (2010). https://doi.org/10.1007/s11253-010-0335-5

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  • DOI: https://doi.org/10.1007/s11253-010-0335-5

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