Simulation of Diffusion in Two-Dimensional Crowded Media

Mathematics – Logic

Scientific paper

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Chemical Kinetics In Biological Systems

Scientific paper

In classical diffusion the mean-square displacement increases linearly with time but in crowded media anomalous diffusion may occur, in which the mean-square displacement is proportional to a non-integral power of time for some or all times. The diffusion rate of a particle motion obstructed by obstacles depends on the size, number, and mobility of the obstacles. The aim of this paper is to simulate diffusion processes in two-dimensional square lattices with obstacles and to analyze how the anomalous diffusion exponent depends on the concentration, size and mobility of the obstacles.

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