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

Доступ к документу

10.1134/S0040577917100087

Link to publication in Scopus

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keywords = "anomalous diffusion, Cantor staircase, fractional (fractal) Brownian motion, memory flow, nonlocality parameter, scale invariance, space–time nonlocality",

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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

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KW - Cantor staircase

KW - fractional (fractal) Brownian motion

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KW - nonlocality parameter

KW - scale invariance

KW - space–time nonlocality

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