Formation of a relation of nonlocalities in the anomalous diffusion model

N. S. Arkashov; V. A. Seleznev

doi:10.1134/S0040577917100087

Formation of a relation of nonlocalities in the anomalous diffusion model

N. S. Arkashov, V. A. Seleznev

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

3 Цитирования (Scopus)

Аннотация

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.

Язык оригинала	английский
Страницы (с-по)	1508-1523
Число страниц	16
Журнал	Theoretical and Mathematical Physics(Russian Federation)
Том	193
Номер выпуска	1
DOI	https://doi.org/10.1134/S0040577917100087
Состояние	Опубликовано - 1 окт 2017

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10.1134/S0040577917100087

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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",

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

В: Theoretical and Mathematical Physics(Russian Federation), Том 193, № 1, 01.10.2017, стр. 1508-1523.

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

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

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DO - 10.1134/S0040577917100087

M3 - Article

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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 -

Formation of a relation of nonlocalities in the anomalous diffusion model

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