{"title":"Non-Conservative Cascades in MHD Turbulence","authors":"P. Frick, A. V. Shestakov","doi":"10.1134/S1062873825711699","DOIUrl":null,"url":null,"abstract":"<p>According to Kolmogorov’s hypothesis, in turbulent flows at large Reynolds numbers, there is an extended inertial range of scales in which neither external nor viscous forces play an appreciable role, and all statistical properties are determined by the rate of kinetic energy dissipation. Turbulent flows in which the effect of external forces on scales corresponding to the inertial range is of fundamental importance are common in nature. The usual integrals of motion (e.g., the energy of velocity fluctuations and hydrodynamic helicity) cease to exist, and other quadratic quantities that include scale dependence become integrals of motion. At the same time, cascade processes become non-conservative from the viewpoint of the usual integrals of motion. This idea is developed in the context of shell models of MHD-turbulence and allows special regimes of cascade processes in MHD-turbulence to be described.</p>","PeriodicalId":504,"journal":{"name":"Bulletin of the Russian Academy of Sciences: Physics","volume":"89 7","pages":"1052 - 1057"},"PeriodicalIF":0.4800,"publicationDate":"2025-07-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Bulletin of the Russian Academy of Sciences: Physics","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1134/S1062873825711699","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Physics and Astronomy","Score":null,"Total":0}
引用次数: 0
Abstract
According to Kolmogorov’s hypothesis, in turbulent flows at large Reynolds numbers, there is an extended inertial range of scales in which neither external nor viscous forces play an appreciable role, and all statistical properties are determined by the rate of kinetic energy dissipation. Turbulent flows in which the effect of external forces on scales corresponding to the inertial range is of fundamental importance are common in nature. The usual integrals of motion (e.g., the energy of velocity fluctuations and hydrodynamic helicity) cease to exist, and other quadratic quantities that include scale dependence become integrals of motion. At the same time, cascade processes become non-conservative from the viewpoint of the usual integrals of motion. This idea is developed in the context of shell models of MHD-turbulence and allows special regimes of cascade processes in MHD-turbulence to be described.
期刊介绍：
Bulletin of the Russian Academy of Sciences: Physics is an international peer reviewed journal published with the participation of the Russian Academy of Sciences. It presents full-text articles (regular, letters to the editor, reviews) with the most recent results in miscellaneous fields of physics and astronomy: nuclear physics, cosmic rays, condensed matter physics, plasma physics, optics and photonics, nanotechnologies, solar and astrophysics, physical applications in material sciences, life sciences, etc. Bulletin of the Russian Academy of Sciences: Physics focuses on the most relevant multidisciplinary topics in natural sciences, both fundamental and applied. Manuscripts can be submitted in Russian and English languages and are subject to peer review. Accepted articles are usually combined in thematic issues on certain topics according to the journal editorial policy. Authors featured in the journal represent renowned scientific laboratories and institutes from different countries, including large international collaborations. There are globally recognized researchers among the authors: Nobel laureates and recipients of other awards, and members of national academies of sciences and international scientific societies.
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