This article is cited in 9 papers

Formation of a relation of nonlocalities in the anomalous diffusion model

N. S. Arkashov^ab, V. A. Seleznev<sup>b

a</sup> Novosibirsk State Technical University, Novosibirsk, Russia
^b Novosibirsk State University, Novosibirsk, Russia

Abstract: 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.

Keywords: anomalous diffusion, memory flow, space–time nonlocality, nonlocality parameter, Cantor staircase, fractional (fractal) Brownian motion, scale invariance.

Received: 30.10.2016
Revised: 09.01.2017

DOI: 10.4213/tmf9295

 English version: Theoretical and Mathematical Physics, 2017, 193:1, 1508–1523

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