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Coupling multi-fluid dynamics equipped with Landau closures to the particle-in-cell method 将配备朗道闭合的多流体动力学与粒子入胞法耦合起来
IF 2.5 3区 物理与天体物理 Q2 PHYSICS, FLUIDS & PLASMAS Pub Date : 2024-01-17 DOI: 10.1017/s0022377823001113
Rouven Lemmerz, Mohamad Shalaby, Timon Thomas, Christoph Pfrommer

The particle-in-cell (PIC) method is successfully used to study magnetized plasmas. However, this requires large computational costs and limits simulations to short physical run times and often to set-ups of less than three spatial dimensions. Traditionally, this is circumvented either via hybrid-PIC methods (adopting massless electrons) or via magneto-hydrodynamic-PIC methods (modelling the background plasma as a single charge-neutral magneto-hydrodynamical fluid). Because both methods preclude modelling important plasma-kinetic effects, we introduce a new fluid-PIC code that couples a fully explicit and charge-conserving multi-fluid solver to the PIC code SHARP through a current-coupling scheme and solve the full set of Maxwell's equations. This avoids simplifications typically adopted for Ohm's law and enables us to fully resolve the electron temporal and spatial scales while retaining the versatility of initializing any number of ion, electron or neutral species with arbitrary velocity distributions. The fluid solver includes closures emulating Landau damping so that we can account for this important kinetic process in our fluid species. Our fluid-PIC code is second-order accurate in space and time. The code is successfully validated against several test problems, including the stability and accuracy of shocks and the dispersion relation and damping rates of waves in unmagnetized and magnetized plasmas. It also matches growth rates and saturation levels of the gyro-scale and intermediate-scale instabilities driven by drifting charged particles in magnetized thermal background plasmas in comparison with linear theory and PIC simulations. This new fluid-SHARP code is specially designed for studying high-energy cosmic rays interacting with thermal plasmas over macroscopic time scales.

粒子入胞(PIC)方法成功地用于研究磁化等离子体。然而,这种方法需要大量的计算成本,并将模拟限制在较短的物理运行时间内,而且通常只能设置小于三个空间维度。传统的方法是通过混合-PIC 方法(采用无质量电子)或磁流体力学-PIC 方法(将背景等离子体建模为单一电荷中性磁流体力学流体)来解决这一问题。由于这两种方法都无法模拟重要的等离子体动力学效应,我们引入了一种新的流体-PIC 代码,通过电流耦合方案将完全显式和电荷守恒的多流体求解器与 PIC 代码 SHARP 相耦合,并求解全套麦克斯韦方程。这避免了欧姆定律通常采用的简化方法,使我们能够完全解析电子的时间和空间尺度,同时保留了以任意速度分布初始化任意数量的离子、电子或中性物质的多功能性。流体求解器包括模拟朗道阻尼的闭包,因此我们可以解释流体中这一重要的动力学过程。我们的流体-PIC 代码在空间和时间上都达到了二阶精度。该代码已成功通过多个测试问题的验证,包括冲击的稳定性和准确性,以及未磁化和磁化等离子体中波的弥散关系和阻尼率。与线性理论和 PIC 模拟相比,它还匹配了磁化热背景等离子体中漂移带电粒子驱动的陀螺尺度和中间尺度不稳定性的增长率和饱和度。这种新的流体-SHARP 代码是专门为研究高能宇宙线与热等离子体在宏观时间尺度上的相互作用而设计的。
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引用次数: 0
Prospects for a high-field, compact break-even axisymmetric mirror (BEAM) and applications 高场强、紧凑型不平衡轴对称反射镜(BEAM)的前景与应用
IF 2.5 3区 物理与天体物理 Q2 PHYSICS, FLUIDS & PLASMAS Pub Date : 2024-01-17 DOI: 10.1017/s0022377823001290
C.B. Forest, J.K. Anderson, D. Endrizzi, J. Egedal, S. Frank, K. Furlong, M. Ialovega, J. Kirch, R.W. Harvey, B. Lindley, Yu.V. Petrov, J. Pizzo, T. Qian, K. Sanwalka, O. Schmitz, J. Wallace, D. Yakovlev, M. Yu

This paper explores the feasibility of a break-even-class mirror referred to as BEAM (break-even axisymmetric mirror): a neutral-beam-heated simple mirror capable of thermonuclear-grade parameters and $Qsim 1$ conditions. Compared with earlier mirror experiments in the 1980s, BEAM would have: higher-energy neutral beams, a larger and denser plasma at higher magnetic field, both an edge and a core and capabilities to address both magnetohydrodynamic and kinetic stability of the simple mirror in higher-temperature plasmas. Axisymmetry and high-field magnets make this possible at a modest scale enabling a short development time and lower capital cost. Such a $Qsim 1$ configuration will be useful as a fusion technology development platform, in which tritium handling, materials and blankets can be tested in a real fusion environment, and as a base for development of higher-$Q$ mirrors.

本文探讨了被称为 BEAM(平衡轴对称反射镜)的平衡级反射镜的可行性:这是一种中性束加热的简单反射镜,能够满足热核级参数和 $Qsim 1$ 条件。与 20 世纪 80 年代早期的镜子实验相比,BEAM 将拥有:更高能量的中性束、在更高磁场下更大和更密集的等离子体、边缘和核心以及解决简单镜子在更高温等离子体中的磁流体动力学和动力学稳定性问题的能力。轴对称和高磁场磁体使其在适度规模上成为可能,从而缩短了开发时间,降低了资本成本。这种 Q/sim 1$ 配置将作为核聚变技术开发平台发挥作用,可以在真实的核聚变环境中测试氚处理、材料和毯子,并作为开发更高 Q$ 反射镜的基础。
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引用次数: 0
Electron cyclotron resonance during plasma initiation 等离子体启动过程中的电子回旋共振
IF 2.5 3区 物理与天体物理 Q2 PHYSICS, FLUIDS & PLASMAS Pub Date : 2024-01-15 DOI: 10.1017/s0022377823001423
C. Albert Johansson, Pavel Aleynikov

Electron-cyclotron resonance heating (ECRH) is the main heating mechanism in the Wendelstein 7-X (W7-X) stellarator. Although second-harmonic ECRH (X2) has been used routinely for plasma startup, startup at third harmonic (X3) is known to be much more difficult. In this work, we investigate the energy gain of particles during nonlinear wave–particle interaction for conditions relevant to second- and third-harmonic startups in W7-X. We take into account both the beam and the ambient magnetic field inhomogeneities. The latter is shown to significantly increase the mean energy gain resulting from a single wave–particle resonant interaction. In W7-X-like conditions, the improvement in maximum gained energy is up to 4 times the analogous uniform magnetic field case. However, this improvement is not enough to ensure X3 startup. The optimal magnetic field inhomogeneity length scale for average energy gain and start up in W7-X-like conditions is found to be in the range of $1$ to $3 {rm km}^{-1}$. A possibility of using multiple beams with neighbouring resonances is also considered. A considerable enhancement of the energy gain is demonstrated.

电子-回旋共振加热(ECRH)是温德斯坦 7-X 恒星器(W7-X)的主要加热机制。虽然二次谐波 ECRH(X2)已被常规用于等离子体的启动,但已知三次谐波(X3)的启动要困难得多。在这项工作中,我们针对 W7-X 中二次和三次谐波启动的相关条件,研究了粒子在非线性波粒相互作用过程中的能量增益。我们同时考虑了光束和环境磁场的不均匀性。结果表明,环境磁场不均匀会显著增加单个波粒共振相互作用产生的平均能量增益。在类似 W7-X 的条件下,最大增益能量的提高幅度是类比均匀磁场情况下的 4 倍。然而,这种改进不足以确保 X3 启动。研究发现,在类似 W7-X 的条件下,平均能量增益和启动的最佳磁场不均匀长度尺度在 1 美元到 3 美元之间。还考虑了使用具有相邻共振的多束的可能性。结果表明,能量增益显著提高。
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引用次数: 0
Improved numerical simulation model for nuclear reaction rate calculations in high-speed plasma collisions 高速等离子体碰撞中核反应速率计算的改进型数值模拟模型
IF 2.5 3区 物理与天体物理 Q2 PHYSICS, FLUIDS & PLASMAS Pub Date : 2024-01-11 DOI: 10.1017/s0022377822000794
Bo Zeng, Zijia Zhao, Xiaohu Yang, Shaowu Yang, Yanyun Ma

Beam–target reactions in fusion plasmas play an important role in both magnetic confinement fusion and inertial confinement fusion in the condition of low-density plasmas with high-velocity interactions. The traditional method for calculating beam–target reaction rate neglects the transport process of incident particles in inhomogeneous plasmas, leading to errors providing that the temperature and density in the transport path of incident particles vary obviously. An improved method considering the transport process is proposed in this paper to eliminate the deficiencies. Then the method is employed in high-speed plasma collision studies. When the initial plasma density and temperature are set to $0.5,{rm g},{rm cm}^{-3}$ and 100 eV, it is found that the beam–target reaction rate calculated by the traditional method is almost identical to that by our method if the collision velocity is less than 600 km s$^{-1}$. However, the traditional method is not suitable for study as the collision velocity gets higher, inducing obvious differences, which can reach 70 % at 1000 km s$^{-1}$. The improved method will make large corrections to evaluate the importance of the non-negligible beam–target reaction for inertial confinement fusion schemes with large implosion velocity such as double-cone ignition and impact ignition, in which the high-speed plasmas collide with each other to realize plasma ignition.

聚变等离子体中的束靶反应在低密度等离子体与高速相互作用的磁约束聚变和惯性约束聚变中都起着重要作用。计算束-靶反应速率的传统方法忽略了入射粒子在不均匀等离子体中的输运过程,导致入射粒子输运路径上的温度和密度变化明显时产生误差。本文提出了一种考虑输运过程的改进方法,以消除这些缺陷。然后将该方法用于高速等离子体碰撞研究。当初始等离子体密度和温度分别设置为$0.5,{rm g},{rm cm}^{-3}$和100 eV时,发现当碰撞速度小于600 km s$^{-1}$时,传统方法计算出的束靶反应速率与我们的方法计算出的反应速率基本一致。但是,随着碰撞速度的增大,传统方法就不适合研究了,会产生明显的差异,在 1000 km s$^{-1}$ 时差异可达 70%。改进后的方法将对内爆速度较大的惯性约束聚变方案(如双锥点火和撞击点火)进行较大的修正,以评估不可忽略的束靶反应的重要性,在这些方案中,高速等离子体相互碰撞实现等离子体点火。
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引用次数: 0
Design and construction of the near-earth space plasma simulation system of the Space Plasma Environment Research Facility 设计和建造空间等离子环境研究设施的近地空间等离子模拟系统
IF 2.5 3区 物理与天体物理 Q2 PHYSICS, FLUIDS & PLASMAS Pub Date : 2024-01-11 DOI: 10.1017/s0022377823001460
W. Ling, C. Jing, J. Wan, A. Mao, Q. Xiao, J. Guan, J. Cheng, C. Liu, P. E

Our earth is immersed in the near-earth space plasma environment, which plays a vital role in protecting our planet against the solar-wind impact and influencing space activities. It is significant to investigate the physical processes dominating the environment, for deepening our scientific understanding of it and improving the ability to forecast the space weather. As a crucial part of the National Major Scientific and Technological Infrastructure–Space Environment Simulation Research Infrastructure (SESRI) in Harbin, the Space Plasma Environment Research Facility (SPERF) builds a system to replicate the near-earth space plasma environment in the laboratory. The system aims to simulate the three-dimensional (3-D) structure and processes of the terrestrial magnetosphere for the first time in the world, providing a unique platform to reveal the physics of the 3-D asymmetric magnetic reconnection relevant to the earth's magnetopause, wave–particle interaction in the earth's radiation belt, particles’ dynamics during the geomagnetic storm, etc. The paper will present the engineering design and construction of the near-earth space plasma simulation system of the SPERF, with a focus on the critical technologies that have been resolved to achieve the scientific goals. Meanwhile, the possible physical issues that can be studied based on the apparatus are sketched briefly. The earth-based system is of great value in understanding the space plasma environment and supporting space exploration.

地球浸泡在近地空间等离子体环境中,该环境在保护地球免受太阳风影响和影响空间活动方面起着至关重要的作用。研究主导该环境的物理过程对于加深我们对该环境的科学认识和提高空间天气预报能力具有重要意义。作为哈尔滨国家重大科技基础设施--空间环境模拟研究基础设施(SESRI)的重要组成部分,空间等离子体环境研究设施(SPERF)建立了一个在实验室中复制近地空间等离子体环境的系统。该系统的目标是在世界上首次模拟地球磁层的三维结构和过程,为揭示与地球磁层顶相关的三维非对称磁重联、地球辐射带中的波粒相互作用、地磁暴期间的粒子动力学等物理现象提供一个独特的平台。本文将介绍 SPERF 近地空间等离子体模拟系统的工程设计和建造,重点介绍为实现科学目标而解决的关键技术。同时,简要介绍了基于该设备可能研究的物理问题。地面系统对了解空间等离子体环境和支持空间探索具有重要价值。
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引用次数: 0
On the role of numerical diffusivity in MHD simulations of global accretion disc dynamos 论数值扩散性在全球吸积盘动力学 MHD 模拟中的作用
IF 2.5 3区 物理与天体物理 Q2 PHYSICS, FLUIDS & PLASMAS Pub Date : 2024-01-05 DOI: 10.1017/s002237782300140x
C.J. Nixon, C.C.T. Pringle, J.E. Pringle
<p>Observations, mainly of outbursts in dwarf novae, imply that the anomalous viscosity in highly ionized accretion discs is magnetic in origin and requires that the plasma <span><span><span data-mathjax-type="texmath"><span>${beta sim 1}$</span></span><img data-mimesubtype="png" data-type="" src="https://static.cambridge.org/binary/version/id/urn:cambridge.org:id:binary:20240104165850964-0798:S002237782300140X:S002237782300140X_inline1.png"/></span></span>. Until now, most simulations of the magnetic dynamo in accretion discs have used a local approximation (known as the shearing box). While these simulations demonstrate the possibility of a self-sustaining dynamo, the magnetic activity generated in these models saturates at <span><span><span data-mathjax-type="texmath"><span>$beta gg 1$</span></span><img data-mimesubtype="png" data-type="" src="https://static.cambridge.org/binary/version/id/urn:cambridge.org:id:binary:20240104165850964-0798:S002237782300140X:S002237782300140X_inline2.png"/></span></span>. This long-standing discrepancy has previously been attributed to the local approximation itself. There have been recent attempts at simulating magnetic activity in global accretion discs with parameters relevant to the dwarf novae. These too find values of <span><span><span data-mathjax-type="texmath"><span>$beta gg 1$</span></span><img data-mimesubtype="png" data-type="" src="https://static.cambridge.org/binary/version/id/urn:cambridge.org:id:binary:20240104165850964-0798:S002237782300140X:S002237782300140X_inline3.png"/></span></span>. We speculate that the tension between these models and the observations may be caused by numerical magnetic diffusivity. As a pedagogical example, we present exact time-dependent solutions for the evolution of weak magnetic fields in an incompressible fluid subject to linear shear and magnetic diffusivity. We find that the maximum factor by which the initial magnetic energy can be increased depends on the magnetic Reynolds number as <span><span><span data-mathjax-type="texmath"><span>${mathcal {R}}_{m}^{2/3}$</span></span><img data-mimesubtype="png" data-type="" src="https://static.cambridge.org/binary/version/id/urn:cambridge.org:id:binary:20240104165850964-0798:S002237782300140X:S002237782300140X_inline4.png"/></span></span>. We estimate that current global numerical simulations of dwarf nova discs have numerical magnetic Reynolds numbers around six orders of magnitude less than the physical value found in dwarf nova discs of <span><span><span data-mathjax-type="texmath"><span>${mathcal {R}}_{m} sim 10^{10}$</span></span><img data-mimesubtype="png" data-type="" src="https://static.cambridge.org/binary/version/id/urn:cambridge.org:id:binary:20240104165850964-0798:S002237782300140X:S002237782300140X_inline5.png"/></span></span>. We suggest that, given the current limitations on computing power, expecting to be able to compute realistic dynamo action in observable accretion discs using numerical MHD is, for the
主要针对矮新星爆发的观测结果表明,高度电离的吸积盘中的异常粘度源于磁性,并要求等离子体的${beta sim 1}$。到目前为止,对吸积盘中磁动力的大多数模拟都使用了局部近似(即剪切盒)。虽然这些模拟证明了自持动力的可能性,但这些模型中产生的磁活动在$beta gg 1$时达到饱和。这一长期存在的差异以前一直被归因于局部近似本身。最近有人尝试用矮新星的相关参数来模拟全局吸积盘的磁活动。这些尝试也发现了$beta gg 1$的值。我们推测,这些模型与观测结果之间的矛盾可能是由数值磁扩散造成的。作为一个教学实例,我们给出了不可压缩流体中弱磁场在线性剪切和磁扩散作用下的演化的精确时变解。我们发现,初始磁能增加的最大系数取决于磁雷诺数,即 ${mathcal{R}}_{m}^{2/3}$。我们估计,目前对矮新星圆盘的全局数值模拟的数值磁雷诺数比在矮新星圆盘中发现的物理值${mathcal {R}}_{m} 小六个数量级左右。sim 10^{10}$。我们认为,考虑到目前计算能力的限制,期望利用数值 MHD 计算可观测吸积盘中的真实动力作用,目前来看还是太遥远了。
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引用次数: 0
Proton and helium ions acceleration in near-critical density gas targets by short-pulse Ti:Sa PW-class laser 用短脉冲 Ti:Sa PW 级激光加速近临界密度气体目标中的质子和氦离子
IF 2.5 3区 物理与天体物理 Q2 PHYSICS, FLUIDS & PLASMAS Pub Date : 2023-12-28 DOI: 10.1017/s0022377823001332
J.L. Henares, P. Puyuelo-Valdes, C. Salgado-López, J.I. Apiñaniz, P. Bradford, F. Consoli, D. de Luis, M. Ehret, F. Hannachi, R. Hernández-Martín, A. Huber, L. Lancia, M. Mackeviciute, A. Maitrallain, J.-R. Marquès, J.A. Pérez-Hernández, C. Santos, J.J. Santos, V. Stankevic, M. Tarisien, V. Tomkus, L. Volpe, G. Gatti

The ability to quickly refresh gas-jet targets without cycling the vacuum chamber makes them a promising candidate for laser-accelerated ion experiments at high repetition rate. Here we present results from the first high repetition rate ion acceleration experiment on the VEGA-3 PW-class laser at CLPU. A near-critical density gas-jet target was produced by forcing a 1000 bar H$_2$ and He gas mix through bespoke supersonic shock nozzles. Proton energies up to 2 MeV were measured in the laser forward direction and 2.2 MeV transversally. He$^{2+}$ ions up to 5.8 MeV were also measured in the transverse direction. To help maintain a consistent gas density profile over many shots, nozzles were designed to produce a high-density shock at distances larger than 1 mm from the nozzle exit. We outline a procedure for optimizing the laser–gas interaction by translating the nozzle along the laser axis and using different nozzle materials. Several tens of laser interactions were performed with the same nozzle which demonstrates the potential usefulness of gas-jet targets as high repetition rate particle source.

气体喷射靶能够在不循环真空室的情况下快速刷新,这使得它们很有希望成为高重复率激光加速离子实验的候选靶。在此,我们介绍了在中核物理中心的 VEGA-3 PW 级激光器上进行的首次高重复率离子加速实验的结果。通过强制 1000 巴 H$_2$ 和 He 混合气体通过定制的超音速冲击喷嘴,产生了一个接近临界密度的气体喷射目标。在激光前进方向测得质子能量高达 2 MeV,横向测得 2.2 MeV。横向还测量了高达 5.8 MeV 的 He$^{2+}$ 离子。为了帮助在多次发射中保持一致的气体密度曲线,设计了喷嘴,以便在距离喷嘴出口 1 毫米以上的距离产生高密度冲击。我们概述了通过沿激光轴平移喷嘴和使用不同喷嘴材料来优化激光与气体相互作用的程序。使用同一个喷嘴进行了几十次激光相互作用,这证明了气体喷射目标作为高重复率粒子源的潜在用途。
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引用次数: 0
Guiding centre motion for particles in a ponderomotive magnetostatic end plug 深思动力磁静力端塞中粒子的导向中心运动
IF 2.5 3区 物理与天体物理 Q2 PHYSICS, FLUIDS & PLASMAS Pub Date : 2023-12-28 DOI: 10.1017/s0022377823001307
T. Rubin, J.M. Rax, N.J. Fisch

The Hamiltonian dynamics of a single particle in a rotating plasma column, interacting with an magnetic multipole is perturbatively solved for up to second order, using the method of Lie transformations. First, the exact Hamiltonian is expressed in terms of canonical action-angle variables, and then an approximate integrable Hamiltonian is introduced, using another set of actions and angles, which describe the centre of oscillation for the particle. The perturbation introduces an effective ponderomotive potential, which to leading order is positive. At the second order, the pseudopotential consists of a sum of terms of the Miller form, and can have either sign. Additionally, at second order, the ponderomotive interaction introduces a modification to the particle effective mass, when considering the motion along the column axis. It is found that particles can be axially confined by the ponderomotive potentials, but acquire radial excursions which scale as the confining potential. The radial excursions of the particle along its trajectory are investigated, and a condition for the minimal rotation frequency for which the particle remains radially confined is derived. Last, we comment on the changes to the aforementioned solution to the pseudopotentials and particle trajectory in the case of resonant motion, that is, a motion which has the same periodicity as the perturbation.

利用李氏变换方法,对旋转等离子体柱中与磁多极相互作用的单粒子的哈密顿动力学进行了直至二阶的扰动求解。首先,精确的哈密顿用典型的作用-角度变量表示,然后引入一个近似的可积分哈密顿,使用另一组作用和角度来描述粒子的振荡中心。扰动引入了有效的思索动势,其前导阶为正。在二阶时,伪动势由米勒形式的项和组成,可以有两种符号。此外,在二阶时,当考虑沿柱轴运动时,思索动相互作用会对粒子的有效质量产生修正。研究发现,粒子可以被思索动势轴向束缚,但会产生径向偏移,这种偏移会随着束缚势的增大而增大。我们研究了粒子沿轨迹的径向偏移,并推导出粒子保持径向束缚的最小旋转频率条件。最后,我们评述了在共振运动(即与扰动具有相同周期性的运动)情况下,上述伪势和粒子轨迹解的变化。
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引用次数: 0
Rotating Alfvén waves in rotating plasmas 旋转等离子体中的旋转阿尔芬波
IF 2.5 3区 物理与天体物理 Q2 PHYSICS, FLUIDS & PLASMAS Pub Date : 2023-12-28 DOI: 10.1017/s0022377823001368
J.-M. Rax, R. Gueroult, N.J. Fisch

Angular momentum coupling between a rotating magnetized plasma and torsional Alfvén waves carrying orbital angular momentum (OAM) is examined. It is demonstrated not only that rotation is the source of Fresnel–Faraday rotation – or orbital Faraday rotation effects – for OAM-carrying Alfvén waves, but also that angular momentum from an OAM-carrying Alfvén wave can be transferred to a rotating plasma through the inverse process. For the direct process, the transverse structure angular rotation frequency is derived by considering the dispersion relation for modes with opposite OAM content. For the inverse process, the torque exerted on the plasma is derived as a function of wave and plasma parameters.

研究了旋转磁化等离子体与携带轨道角动量(OAM)的扭转阿尔弗文波之间的角动量耦合。研究不仅证明了旋转是携带轨道角动量的阿尔弗文波的菲涅尔-法拉第旋转(或轨道法拉第旋转效应)的来源,而且证明了携带轨道角动量的阿尔弗文波的角动量可以通过逆过程转移到旋转等离子体中。对于直接过程,横向结构角旋转频率是通过考虑 OAM 含量相反的模式的色散关系得出的。对于逆过程,等离子体上施加的转矩是作为波和等离子体参数的函数推导出来的。
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引用次数: 0
A simple model for internal transport barrier induced by fishbone in tokamak plasmas 托卡马克等离子体中鱼骨架诱导的内部输运障碍的简单模型
IF 2.5 3区 物理与天体物理 Q2 PHYSICS, FLUIDS & PLASMAS Pub Date : 2023-12-28 DOI: 10.1017/s0022377823001344
Zhaoyang Liu, Guoyong Fu

Fishbone bursts have been observed to strongly correlate to internal transport barrier (ITB) formation in a number of tokamak devices. A simple model incorporating the fishbone dynamics and ion pressure gradient evolution is proposed in order to investigate the key physics parameters assisting the triggering of ITB. The time evolution of fishbone is described by the well-known predator–prey model. For each burst cycle, the energetic particles (EPs) resonantly interact with fishbone and are radially expelled from inner region leading to a radial current. A compensating bulk plasma return current and, hence, poloidal flow can be induced if the fishbone cycle frequency is greater than the poloidal flow damping rate. When the shear of the poloidal flow exceeds a critical value, the turbulent fluctuations are suppressed and the bulk ion pressure gradient transits to the high-confinement state. It is shown that this process is only sensitive to the deposition rate of the trapped EPs within the $q=1$ surface, but not sensitive to other parameters. A quantitative formula for the shearing rate of poloidal flow induced by fishbone bursts is derived and verified numerically.

在一些托卡马克装置中,已经观察到鱼骨状爆发与内部输运势垒(ITB)的形成密切相关。为了研究有助于触发 ITB 的关键物理参数,我们提出了一个包含鱼骨动力学和离子压力梯度演变的简单模型。鱼刺的时间演化由著名的捕食者-猎物模型描述。在每个迸发周期,高能粒子(EPs)与鱼骨发生共振作用,并从内部区域径向排出,形成径向电流。如果鱼刺循环频率大于极性流阻尼率,就会诱发补偿性的大体等离子体回流,从而产生极性流。当极环流的剪切力超过临界值时,湍流波动被抑制,大块离子压力梯度过渡到高约束状态。研究表明,这一过程只对 $q=1$ 表面内被困 EP 的沉积率敏感,而对其他参数不敏感。推导出了鱼骨爆裂诱导的极性流剪切率定量公式,并进行了数值验证。
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引用次数: 0
期刊
Journal of Plasma Physics
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