共查询到20条相似文献,搜索用时 46 毫秒
1.
章扬忠 《核聚变与等离子体物理》2010,30(3):193-196
根据第二类气球模理论,在托卡马克中诸如不稳定漂移波类的环形局部模将在径向呈现源于环形性的对称性自发破缺。以流体离子温度梯度模模型方程为例,解出在准环坐标系中由对称性自发破缺产生的二维局部模本征模式。在略去边带效应后,它成为具有径向位移修正的平板模式。由位移修正离子温度梯度模式导出了种子平行雷诺胁强,而它在传统的(无位移修正的)平板模式下被证明为零。 相似文献
2.
章扬忠 《核聚变与等离子体物理》2010,30(3):193-196
根据第二类气球模理论,在托卡马克中诸如不稳定漂移波类的环形局部模将在径向呈现源于环形性的对称性自发破缺。以流体离子温度梯度模模型方程为例,解出在准环坐标系中由对称性自发破缺产生的二维局部模本征模式。在略去边带效应后,它成为具有径向位移修正的平板模式。由位移修正离子温度梯度模式导出了种子平行雷诺胁强,而它在传统的(无位移修正的)平板模式下被证明为零。 相似文献
3.
从弗拉索夫方程出发,导出了托卡马克等离子体中漂移不稳定性的回旋动理学二维本征模积分方程组。该方程组保留了离子的动理学效应,包括沿磁场的运动、磁场梯度和曲率漂移以及有限拉莫半径效应。与传统的采用气球模表象得到的一维回旋动理学方程(其只能给出不稳定模沿磁场线的结构)不同,该方程组不仅能给出托卡马克等离子体中漂移不稳定模的径向结构,同时还考虑了由离子的环形性漂移引起的相邻极向模之间的线性耦合,进而得到模的极向结构。该结果为相应的数值模拟研究提供了理论基础。 相似文献
4.
Internal transport barriers (ITB) in tokamaks can form near a minimum in the q profile, q(min), where magnetic shear is weak. We have analyzed their stability to short wavelength (n>1, where n is the toroidal mode number) ideal MHD ballooning modes, by considering the s-alpha model equilibrium. We show that the ballooning transformation fails in regions of low shear but that one can then adopt a complementary approach based on the recurrence relation describing the toroidal coupling of radially localized modes on adjacent rational surfaces. Inclusion of the stabilizing effects of favorable average curvature or finite-n using this technique leads to stable high-pressure ITB configurations. The theory also shows the advantages of operating with low-order rational values of q(min). 相似文献
5.
Ida K Sakamoto Y Takenaga H Oyama N Itoh K Yoshinuma M Inagaki S Kobuchi T Isayama A Suzuki T Fujita T Matsunaga G Koide Y Yoshida M Ide S Kamada Y;JT- team 《Physical review letters》2008,101(5):055003
A spontaneous transition phenomena between two states of a plasma with an internal transport barrier (ITB) is observed in the steady-state phase of the magnetic shear in the negative magnetic shear plasma in the JT-60U tokamak. These two ITB states are characterized by different profiles of the second radial derivative of the ion temperature inside the ITB region (one has a weak concave shape and the other has a strong convex shape) and by different degrees of sharpness of the interfaces between the L mode and the ITB region, which is determined by the turbulence penetration into the ITB region. 相似文献
6.
Equilibrium reconstruction consists of identifying, from experimental measurements, a distribution of the plasma current density that satisfies the pressure balance constraint. Numerous methods exist to solve the Grad–Shafranov equation, describing the equilibrium of plasma confined by an axisymmetric magnetic field. In this paper, we have proposed a new numerical solution to the Grad–Shafranov equation (an axisymmetric, magnetic field transformed in cylindrical coordinates solved with the Chebyshev collocation method) when the source term (current density function) on the right-hand side is linear. The Chebyshev collocation method is a method for computing highly accurate numerical solutions of differential equations. We describe a circular cross-section of the tokamak and present numerical result of magnetic surfaces on the IR-T1 tokamak and then compare the results with an analytical solution. 相似文献
7.
本文讨论了圆截面高比压等离子体关于高n气球模的稳定性,在高比压情况下,相应的极向磁场对气球模有相当强的驱动作用,从而严重影响了第二稳定区的结构,我们详细计算了不同剪切、不同压强梯度及不同极向场参数对气球模本征函数和本征频率的影响,这些结果比较完善地反映了圆截面环流器中理想磁流体气球模理论所预示的主要结论。
关键词: 相似文献
8.
F. M. Nekrasov A. G. Elfimov C. A. de Azevedo A. S. de Assis 《Czechoslovak Journal of Physics》1997,47(8):801-819
The Vlasov equation for charged particles is analyzed in an axially symmetric toroidal plasma configuration with an elliptic
cross section of magnetic surfaces. The asymptotic solution of the Vlasov equation is found. The analytical expressions for
the perpendicular component of the dielectric permittivity tensor are obtained. These expressions are used for theoretical
analyses of the trapped and untrapped ion influence on the collisionless cyclotron wave dissipation. The evaluated dielectric
tensor components can be used for computer calculations of the radio frequency field structure and the collisionless dissipated
power related to trapped and untrapped ions in tokamak plasmas. It is shown that ion cyclotron resonance dissipation in tokamaks
depends on toroidicity and ellipticity parameters and does not depend on plasma temperature.
This work was supported by the State University of Rio de Janeiro (UERJ), Rio de Janeiro Research Foundation (FAPERJ) and
Brazilian National Council of Research (CNPq). 相似文献
9.
Conway GD Borba DN Alper B Bartlett DV Gormezano C von Hellermann MG Maas AC Parail VV Smeulders P Zastrow KD 《Physical review letters》2000,84(7):1463-1466
Correlation of density turbulence suppression and reduced plasma transport is observed in the internal transport barrier (ITB) region of JET tokamak discharges with optimized magnetic shear. The suppression occurs in two stages. First, low frequency turbulence and ion transport are reduced across the plasma core by a toroidal velocity shear generated by intense auxiliary heating. Then with the ITB formation, high frequency turbulence and electron transport are reduced locally within the steep pressure gradient region of the ITB. 相似文献
10.
A tokamak's confinement time is greatly increased by a transport barrier (TB), a region having a high pressure gradient and usually also a strongly sheared plasma flow. The pressure gradient in a TB can be limited by ideal magnetohydrodynamic instabilities with a high toroidal mode number n ("ballooning modes"). Previous studies in the limit n--> infinity showed that arbitrarily small (but nonzero) flow shears have a large stabilizing influence. In contrast, the more realistic finite n ballooning modes studied here are found to be insensitive to sub-Alfvénic flow shears, provided the magnetic shear s approximately 1 (typical for TBs near the plasma's edge). However, for the lower magnetic shears that are associated with internal transport barriers, significantly lower flow shears will influence ballooning mode stability, and flow shear should be retained in the analysis of their stability. 相似文献
11.
Analytic description of tokamak equilibrium sustained by high fraction bootstrap current 总被引:1,自引:0,他引:1 下载免费PDF全文
By using an expansion technique based on the tokamak ordering, the Grad-Shafranov equation is analytically solved for tokamak equilibrium sustained by a full bootstrap current. This approximate approach is suitable for equilibria with non-circular cross-sections of modest ellipse and triangular deformations. As an input parameter set, the plasma pressure profile and the electron and the ion temperature profiles can be selected as arbitrary functions of the averaged minor radius. Equilibrium properties of this plasma are discussed. 相似文献
12.
基于托卡马克实验的L-H模转换过程中等离子体的输运特征,建立了一种简化的非线性等离子体输运模型。通过数值求解输运方程,得到了等离子体稳态温度分布剖面,成功模拟了托卡马克边缘输运势垒(ETB)的形成以及高辅助加热功率下的内部输运势垒(ITB)现象,并对比了有无输运势垒两种情况下托卡马克的能量约束效率。 相似文献
13.
托卡马克理想磁流体不稳定性的统一描述 (I) 总被引:1,自引:0,他引:1
石秉仁 《核聚变与等离子体物理》2001,21(2):65-72
在与平衡磁面相联系的坐标系下,用剪切阿尔芬波近似给出了统一描述托卡马克等离子体理想磁流体线性运动的本征模方程。利用此方程,可以进一步给出大尺度扰动(扭曲模、低模数气球模、阿尔芬模)和小尺度扰动(高模数气球模、Mercier模)的本征模方程。本文详细讨论了小尺度扰动的本征模方程。 相似文献
14.
Improved confinement of tokamak plasma with central negative shear
is checked against the resistive ballooning mode. In the negative
shear regime, the plasma is always unstable for purely growing
resistive ballooning mode. For a simplest tokamak equilibrium model,
the s--α model, characteristics of this kind of instability
are fully clarified by numerically solving the high n resistive
magnetohydrodynamic ballooning eigen-equation. Dependences of the
growth rate on the resistivity, the absolute shear value, the
pressure gradient are scanned in detail. It is found that the growth
rate is a monotonically increasing function of α while it is not
sensitive to the changes of the shear s, the initial phase \ta0
and the resistivity parameter \vaR. 相似文献
15.
A ballooning perturbation in a toroidally rotating tokamak is expanded by square-integrable eigenfunctions of an eigenvalue problem associated with ballooning modes in a static plasma. Especially a weight function is chosen such that the eigenvalue problem has only the discrete spectrum. The eigenvalues evolve in time owing to toroidal rotation shear, resulting in a countably infinite number of crossings among them. The crossings cause energy transfer from an unstable mode to the infinite number of stable modes; such transfer works as the stabilization mechanism of the ballooning mode. 相似文献
16.
17.
The ordinary differential magnetic field line equations are solved numerically; the tokamak magnetic structure is studied on Hefei Tokamak-7 Upgrade (HT-TU) when the equilibrium field with a monotonic q-profile is perturbed by a helical magnetic field. We find that a single mode (m, n) helical perturbation can cause the formation of islands on rational surfaces with q=m/n and q=(m±1,±2,±3,...)/n due to the toroidicity and plasma shape (i.e. elongation and triangularity), while there are many undestroyed magnetic surfaces called Kolmogorov-Arnold-Moser (KAM) barriers on irrational surfaces. The islands on the same rational surface do not have the same size. When the ratio between the perturbing magnetic field Br(r) and the toroidal magnetic field amplitude Bφ0 is large enough, the magnetic island chains on different rational surfaces will overlap and chaotic orbits appear in the overlapping area, and the magnetic field becomes stochastic. It is remarkable that the stochastic layer appears first in the plasma edge region. 相似文献
18.
19.
This paper provides an overview of recent results on two distinct studies exploiting the non‐linear model for ideal ballooning modes with potential applications to edge‐localized modes (ELMs). The non‐linear model for tokamak geometries was developed by Wilson and Cowley in 2004 and consists of two differential equations that characterize the temporal and spatial evolution of the plasma displacement. The variation of the radial displacement along the magnetic field line is described by the first equation, which is identical to the linear ballooning equation. The second differential equation is a two‐dimensional non‐linear ballooning‐like equation, which is often second order in time but can involve a fractional time derivative depending on the geometry. In the first study, the interaction of multiple filamentary eruptions is addressed in a magnetized plasma in a slab geometry. Equally sized filaments evolve independently in both the linear and non‐linear regimes. However, if filaments are initiated with slightly different heights from the reference flux surface, they interact with each other in the non‐linear regime: lower filaments are slowed down and are eventually completely suppressed, while the higher filaments grow faster because of the non‐linear interaction. In the second study, this model of non‐linear ballooning modes is examined quantitatively against experimental observations of ELMs in Mega Amp Spherical Tokamak (MAST) geometries. The results suggest that experimentally relevant results can only be obtained using modified equilibria. 相似文献
20.
SHI Bing-ren 《理论物理通讯》1985,4(4):447-452
In this paper, the first part deals with the structure of the second stability regime of the ideal MHD ballooning modes in circular tokamaks. It is shown that in high-beta regime,the poloidal magnetic field destabilizes strongly the plasma and can eventually lead to the appearance of a new instability regime at modest beta-value for a flat q-profile. In the second part, th a various kinetic effects on ballooning modes or high-beta tokamaks are calculated. Results show that a new weak ballooning mode branch can exist in the second MHD stability regime in addition to the MHD-like strony ballooning mode branch in the first instability regime with its growth rate decreased by kinetic stabilizations. 相似文献