{"title":"Heterogeneity effect in the statistical analysis of plasma density","authors":"N. S. Arkashov, V. A. Seleznev","doi":"10.1134/S0040577925030080","DOIUrl":null,"url":null,"abstract":"<p> 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. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"222 3","pages":"483 - 496"},"PeriodicalIF":1.0000,"publicationDate":"2025-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Theoretical and Mathematical Physics","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1134/S0040577925030080","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, MATHEMATICAL","Score":null,"Total":0}
引用次数: 0
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.
期刊介绍:
Theoretical and Mathematical Physics covers quantum field theory and theory of elementary particles, fundamental problems of nuclear physics, many-body problems and statistical physics, nonrelativistic quantum mechanics, and basic problems of gravitation theory. Articles report on current developments in theoretical physics as well as related mathematical problems.
Theoretical and Mathematical Physics is published in collaboration with the Steklov Mathematical Institute of the Russian Academy of Sciences.