Slow diffusion by Markov random flights

Alexander D. Kolesnik

Physica A: Statistical Mechanics and its Applications, 2018, vol. 499, issue C, 186-197

Abstract: We present a conception of the slow diffusion processes in the Euclidean spaces Rm,m≥1, based on the theory of random flights with small constant speed that are driven by a homogeneous Poisson process of small rate. The slow diffusion condition that, on long time intervals, leads to the stationary distributions, is given. The stationary distributions of slow diffusion processes in some Euclidean spaces of low dimensions, are presented.

Keywords: Slow diffusion processes; Random flight; Transport process; Slow diffusion conditions; Stationary distributions (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:499:y:2018:i:c:p:186-197

DOI: 10.1016/j.physa.2018.02.013

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