Virial relations for elongated plasmas in tokamaks: Analytical approximations and numerical calculations

IF 2 3区 物理与天体物理 Q3 PHYSICS, FLUIDS & PLASMAS Physics of Plasmas Pub Date : 2024-08-02 DOI:10.1063/5.0221175
A. A. Martynov, V. D. Pustovitov
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Abstract

Using the SPIDER code, three series of calculations of plasma equilibrium in a tokamak are performed—with low, medium, and high pressure. In each series, the cross section is purely elliptical with elongation varying from K=1 (circular plasma) to K=2.4. For these configurations, the integrals S1÷S3 defining the right-hand sides of the virial relations in Lao et al. [Nucl. Fusion 25, 1421 (1985)] are calculated. Their dependences on plasma parameters, elongation K of magnetic surfaces, and radial derivatives of K and Shafranov shift Δ are analyzed. The accuracy of analytical expressions for S1÷S3 proposed in Pustovitov [Phys. Plasmas 29, 092507 (2022)] is assessed.
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托卡马克中拉长等离子体的室温关系:分析近似和数值计算
利用 SPIDER 代码,对托卡马克中的等离子体平衡进行了低压、中压和高压三个系列的计算。在每个系列中,横截面都是纯椭圆形,伸长率从 K=1(圆形等离子体)到 K=2.4 不等。对于这些构型,计算了定义 Lao 等人[Nucl. Fusion 25, 1421 (1985)]中病毒式关系右侧的积分 S1÷S3。分析了它们与等离子体参数、磁面伸长率 K 以及 K 的径向导数和沙弗拉诺夫偏移 Δ 的关系。评估了 Pustovitov [Phys. Plasmas 29, 092507 (2022)]提出的 S1÷S3 分析表达式的准确性。
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来源期刊
Physics of Plasmas
Physics of Plasmas 物理-物理:流体与等离子体
CiteScore
4.10
自引率
22.70%
发文量
653
审稿时长
2.5 months
期刊介绍: Physics of Plasmas (PoP), published by AIP Publishing in cooperation with the APS Division of Plasma Physics, is committed to the publication of original research in all areas of experimental and theoretical plasma physics. PoP publishes comprehensive and in-depth review manuscripts covering important areas of study and Special Topics highlighting new and cutting-edge developments in plasma physics. Every year a special issue publishes the invited and review papers from the most recent meeting of the APS Division of Plasma Physics. PoP covers a broad range of important research in this dynamic field, including: -Basic plasma phenomena, waves, instabilities -Nonlinear phenomena, turbulence, transport -Magnetically confined plasmas, heating, confinement -Inertially confined plasmas, high-energy density plasma science, warm dense matter -Ionospheric, solar-system, and astrophysical plasmas -Lasers, particle beams, accelerators, radiation generation -Radiation emission, absorption, and transport -Low-temperature plasmas, plasma applications, plasma sources, sheaths -Dusty plasmas
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