Formation of a relation of nonlocalities in the anomalous diffusion model

We construct a model of a random walk in which the relation of space–time nonlocalities is defined by the structure of memory flow and a stochastic force model. The proposed model allows computing the parameters that characterize the nonlocality of the medium exposure and the particle memory.

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Bibliographic Details
Published in:	Theoretical and mathematical physics Vol. 193; no. 1; pp. 1508 - 1523
Main Authors:	Arkashov, N. S., Seleznev, V. A.
Format:	Journal Article
Language:	English
Published:	Moscow Pleiades Publishing 01-10-2017 Springer Nature B.V
Subjects:	Applications of Mathematics Computer memory Mathematical and Computational Physics Physics Physics and Astronomy Random walk Theoretical space–time nonlocality fractional (fractal) Brownian motion nonlocality parameter scale invariance anomalous diffusion Cantor staircase memory flow
Online Access:	Get full text
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Description
Summary:	We construct a model of a random walk in which the relation of space–time nonlocalities is defined by the structure of memory flow and a stochastic force model. The proposed model allows computing the parameters that characterize the nonlocality of the medium exposure and the particle memory.
ISSN:	0040-5779 1573-9333
DOI:	10.1134/S0040577917100087