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TMF, 2025 Volume 222, Number 3, Pages 565–581 (Mi tmf10800)

Heterogeneity effect in the statistical analysis of plasma density

N. S. Arkashova, V. A. Seleznevb

a Sobolev Institute for Mathematics, Siberian Branch of the~Russian Academy of Sciences, Novosibirsk, Russia
b Novosibirsk State Technical University, Novosibirsk, Russia

Abstract: A sample of plasma density values in a thermonuclear facility is studied. On the basis of discrete analogues of heterogeneous processes and memory flow phenomenology, we construct a class of stochastic processes modeling space–time nonlocality taking the spatial heterogeneity into account. A methodology for processing experimental data is proposed that allows establishing a correspondence between this sample of plasma density values and the class of stochastic processes. A physical interpretation of the nonlocality parameters and the heterogeneity parameter is described.

Keywords: space–time nonlocality, spatial heterogeneity, time series of physical quantities, plasma density.

Received: 01.08.2024
Revised: 06.11.2024

DOI: 10.4213/tmf10800


 English version:
Theoretical and Mathematical Physics, 2025, 222:3, 483–496

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© Steklov Math. Inst. of RAS, 2026