Slow diffusion by Markov random flights
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2018-06-18 18:02
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KOLESNIK, Alexander. Slow diffusion by Markov random flights. In: Physica A: Statistical Mechanics and its Applications, 2018, vol. 499, pp. 186-197. ISSN 0378-4371. DOI: https://doi.org/10.1016/j.physa.2018.02.013
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Physica A: Statistical Mechanics and its Applications
Volumul 499 / 2018 / ISSN 0378-4371

Slow diffusion by Markov random flights

DOI:https://doi.org/10.1016/j.physa.2018.02.013

Pag. 186-197

Kolesnik Alexander
 
Institute of Mathematics and Computer Science ASM
 
 
Disponibil în IBN: 18 iunie 2018


Rezumat

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.

Cuvinte-cheie
random flight, Slow diffusion conditions, Slow diffusion processes, Stationary distributions, transport process