System of sticking diffusion particles of variable mass

  • V. V. Konarovskyi Ін-т математики HAH України, Київ

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.
Published
25.01.2010
How to Cite
Konarovskyi, V. V. “System of Sticking Diffusion Particles of Variable Mass”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 62, no. 1, Jan. 2010, pp. 90 - 103, http://umj.imath.kiev.ua/index.php/umj/article/view/2845.
Section
Research articles