Asymptotics of TAMSD distributions for turbulent plasma density time series Full article
| Journal |
Theoretical and Mathematical Physics (Russian Federation)
ISSN: 0040-5779 , E-ISSN: 1573-9333 |
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| Output data | Year: 2026, Volume: 228, Number: 2, Pages: 1456--1472 Pages count : 11 DOI: 10.1134/S004057792608012X | ||
| Tags | plasma density, transformation of a Gaussian sequence, TAMSD, large deviations, anomalous diffusion, intermittency | ||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Sobolev Institute of Mathematics, Siberian Branch of Russian Academy of Sciences, Novosibirsk, 630090, Russia | FWNF-2024-0001 |
Abstract:
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.
Cite:
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
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
Original:
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
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
Dates:
| Submitted: | Feb 3, 2026 |
| Accepted: | Apr 29, 2026 |
| Published print: | Aug 25, 2026 |
| Published online: | Aug 25, 2026 |
Identifiers:
No identifiers