Asymptotics of TAMSD distributions for turbulent plasma density time series | Sciact - Система учета научной деятельности ИМ СО РАН

Asymptotics of TAMSD distributions for turbulent plasma density time series Научная публикация

Журнал

Theoretical and Mathematical Physics (Russian Federation)
ISSN: 0040-5779 , E-ISSN: 1573-9333

Вых. Данные

Год: 2026, Том: 228, Номер: 2, Страницы: 1456--1472 Страниц : 11 DOI: 10.1134/S004057792608012X

Ключевые слова

plasma density, transformation of a Gaussian sequence, TAMSD, large deviations, anomalous diffusion, intermittency

Авторы

Arkashov N.S. ¹

Организации

1	Sobolev Institute for Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia

Информация о финансировании (1)

Институт математики им. С.Л. Соболева СО РАН

FWNF-2024-0001

The paper analyzes a stationary plasma density time series recorded in the peripheral confinement region of a thermonuclear device. This series exhibits the long-range dependence effect. To construct independent analogs of the time series, the inverse distribution function method for modeling stationary non-Gaussian processes is employed. This modeling of experimental reproducibility allows for the identification of physical patterns that govern the distributions of statistical characteristics derived from empirical data. Special attention is paid to the asymptotic convergence of the distributions of the centered and normalized time-averaged mean square displacement (TAMSD). From a physical perspective, the proposed approach provides a mathematical framework for the probabilistic assessment of extreme plasma density fluctuations, which, in real devices, can lead to peak heat loads on the first-wall components of the reactor.

Arkashov N.S.
Asymptotics of TAMSD distributions for turbulent plasma density time series
Theoretical and Mathematical Physics (Russian Federation). 2026. V.228. N2. P.1456--1472. DOI: 10.1134/S004057792608012X

Аркашов Н.С.
Асимптотика распределений среднеквадратичного смещения по времени для временны́х рядов плотности турбулентной плазмы
Теоретическая и математическая физика. 2026. Т.228. №2. С.423-441. DOI: 10.4213/tmf11193 OpenAlex

Поступила в редакцию:	3 февр. 2026 г.
Принята к публикации:	29 апр. 2026 г.
Опубликована в печати:	25 авг. 2026 г.
Опубликована online:	25 авг. 2026 г.

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