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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Bibliographische Detailangaben
Veröffentlicht in:	Theoretical and mathematical physics 2017-10, Vol.193 (1), p.1508-1523
Hauptverfasser:	Arkashov, N. S., Seleznev, V. A.
Format:	Artikel
Sprache:	eng
Schlagworte:	Applications of Mathematics Computer memory Mathematical and Computational Physics Physics Physics and Astronomy Random walk Theoretical
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Beschreibung
Zusammenfassung:	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