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Formation of a relation of nonlocalities in the anomalous diffusion model. / Arkashov, N. S.; Seleznev, V. A.

In: Theoretical and Mathematical Physics(Russian Federation), Vol. 193, No. 1, 01.10.2017, p. 1508-1523.

Research output: Contribution to journal › Article › peer-review

Harvard

Arkashov, NS & Seleznev, VA 2017, 'Formation of a relation of nonlocalities in the anomalous diffusion model', Theoretical and Mathematical Physics(Russian Federation), vol. 193, no. 1, pp. 1508-1523. https://doi.org/10.1134/S0040577917100087

APA

Arkashov, N. S., & Seleznev, V. A. (2017). Formation of a relation of nonlocalities in the anomalous diffusion model. Theoretical and Mathematical Physics(Russian Federation), 193(1), 1508-1523. https://doi.org/10.1134/S0040577917100087

Vancouver

Arkashov NS, Seleznev VA. Formation of a relation of nonlocalities in the anomalous diffusion model. Theoretical and Mathematical Physics(Russian Federation). 2017 Oct 1;193(1):1508-1523. doi: 10.1134/S0040577917100087

Author

Arkashov, N. S. ; Seleznev, V. A. / Formation of a relation of nonlocalities in the anomalous diffusion model. In: Theoretical and Mathematical Physics(Russian Federation). 2017 ; Vol. 193, No. 1. pp. 1508-1523.

BibTeX

@article{385bd91180b147b0a2ec2ac118fd8b2d,
title = "Formation of a relation of nonlocalities in the anomalous diffusion model",
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, Cantor staircase, fractional (fractal) Brownian motion, memory flow, nonlocality parameter, scale invariance, space–time nonlocality",
author = "Arkashov, {N. S.} and Seleznev, {V. A.}",
year = "2017",
month = oct,
day = "1",
doi = "10.1134/S0040577917100087",
language = "English",
volume = "193",
pages = "1508--1523",
journal = "Theoretical and Mathematical Physics(Russian Federation)",
issn = "0040-5779",
publisher = "Springer Singapore",
number = "1",

}

RIS

TY - JOUR

T1 - Formation of a relation of nonlocalities in the anomalous diffusion model

AU - Arkashov, N. S.

AU - Seleznev, V. A.

PY - 2017/10/1

Y1 - 2017/10/1

N2 - 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.

AB - 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.

KW - anomalous diffusion

KW - Cantor staircase

KW - fractional (fractal) Brownian motion

KW - memory flow

KW - nonlocality parameter

KW - scale invariance

KW - space–time nonlocality

UR - http://www.scopus.com/inward/record.url?scp=85034419611&partnerID=8YFLogxK

U2 - 10.1134/S0040577917100087

DO - 10.1134/S0040577917100087

M3 - Article

AN - SCOPUS:85034419611

VL - 193

SP - 1508

EP - 1523

JO - Theoretical and Mathematical Physics(Russian Federation)

JF - Theoretical and Mathematical Physics(Russian Federation)

SN - 0040-5779

IS - 1

ER -

ID: 9674079