{"title":"On the Applicability of GAM Theory to Real Tokamaks with Rippled Magnetic Fields","authors":"E. A. Sorokina","doi":"10.1134/S1063780X24602098","DOIUrl":null,"url":null,"abstract":"<p>The influence of the toroidal magnetic field ripples on the spatial structure and frequency of the geodesic acoustic mode (GAM) in tokamak plasma has been investigated. It is shown that the toroidal asymmetry of the magnetic configuration leads to coupling of oscillations of the GAM electric potential with toroidal and poloidal inhomogeneous perturbations of the plasma pressure. For tokamaks with a large aspect ratio, the GAM dispersion law is derived, taking the non-uniformity of the ripple in the tokamak cross-section into account. Increasing the number of coils <span>\\(n\\)</span> of the toroidal field reduces the effect of ripple as <span>\\( {\\sim} {\\text{1/}}{{n}^{2}}\\)</span>. The applicability of the standard theory to finding the frequency and spatial structure of GAM in large tokamaks is shown.</p>","PeriodicalId":735,"journal":{"name":"Plasma Physics Reports","volume":"50 12","pages":"1453 - 1460"},"PeriodicalIF":0.9000,"publicationDate":"2025-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Plasma Physics Reports","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1134/S1063780X24602098","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"PHYSICS, FLUIDS & PLASMAS","Score":null,"Total":0}
引用次数: 0
Abstract
The influence of the toroidal magnetic field ripples on the spatial structure and frequency of the geodesic acoustic mode (GAM) in tokamak plasma has been investigated. It is shown that the toroidal asymmetry of the magnetic configuration leads to coupling of oscillations of the GAM electric potential with toroidal and poloidal inhomogeneous perturbations of the plasma pressure. For tokamaks with a large aspect ratio, the GAM dispersion law is derived, taking the non-uniformity of the ripple in the tokamak cross-section into account. Increasing the number of coils \(n\) of the toroidal field reduces the effect of ripple as \( {\sim} {\text{1/}}{{n}^{2}}\). The applicability of the standard theory to finding the frequency and spatial structure of GAM in large tokamaks is shown.
期刊介绍：
Plasma Physics Reports is a peer reviewed journal devoted to plasma physics. The journal covers the following topics: high-temperature plasma physics related to the problem of controlled nuclear fusion based on magnetic and inertial confinement; physics of cosmic plasma, including magnetosphere plasma, sun and stellar plasma, etc.; gas discharge plasma and plasma generated by laser and particle beams. The journal also publishes papers on such related topics as plasma electronics, generation of radiation in plasma, and plasma diagnostics. As well as other original communications, the journal publishes topical reviews and conference proceedings.
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