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Magneto-Hydrodynamic Simulations of Pedestal Instabilities for Tokamak Plasmas with Different Ion Masses 不同离子质量托卡马克等离子体的台座不稳定性的磁流体动力学模拟
Pub Date : 2024-08-08 DOI: arxiv-2408.04518
Matthias Rosenthal
In this bachelor's thesis, isotope effects for pedestal instabilities havebeen studied based on an ASDEX Upgrade H-Mode scenario. This was done using theJOREK code for extended MHD simulations, including the ion diamagnetic driftand the establishment of ExB flows. Simulations with single toroidal harmonicswere performed for multiple times during the build-up of the pedestal, toassess the evolution of the linear stability of modes occurring near the edge.When changing the average ion masses from 2.0 to 2.5 and 3.0, the variationswere small, and MHD's momentum equation was shown to be the major cause forthem. As a second step, simulations with multiple toroidal harmonics wereperformed to simulate an Edge Localized Mode (ELM) crash, again comparingbetween the average ion masses of 2.0, 2.5, and 3.0. The resulting variationsof heat and particle losses were compared to JET results. The experimentaldifferences between ion masses could not be reproduced. Together with the factthat the simulations' pedestal for an average ion mass of 2.5 and 3.0 was notmatched to the experiment, this indicates that other effects, such assmall-scale turbulences, must be included - for example, by adapting thesimulations' transport coefficients - to explain the experimental differences.
在这篇学士论文中,基于 ASDEX 升级 H 模式方案,研究了基座不稳定性的同位素效应。这项研究使用了用于扩展 MHD 模拟的 JOREK 代码,包括离子二磁漂移和 ExB 流的建立。当平均离子质量从 2.0 变为 2.5 和 3.0 时,变化很小,表明 MHD 的动量方程是造成这些变化的主要原因。第二步,对多个环形谐波进行模拟,以模拟边缘局部模式(ELM)碰撞,并再次比较 2.0、2.5 和 3.0 的平均离子质量。由此产生的热量和粒子损失变化与 JET 的结果进行了比较。离子质量之间的实验差异无法再现。再加上平均离子质量为 2.5 和 3.0 时的模拟基底与实验结果不匹配,这表明必须将其他效应(如小尺度湍流)包括在内--例如,通过调整模拟的传输系数--才能解释实验差异。
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引用次数: 0
Transverse instability of electron-acoustic solitons in a relativistic degenerate astrophysical magnetoplasma 相对论退化天体物理磁等离子体中电子声孤子的横向不稳定性
Pub Date : 2024-08-08 DOI: arxiv-2408.04404
A. P. Misra, A. Abdikian
We study the nonlinear theory of small-amplitude electron-acoustic solitons(EASs) in a relativistic astrophysical magnetoplasma consisting oftwo-temperature electrons: a sparse population of relativistic nondegenerateclassical electrons and a group of fully degenerate dense relativisticelectrons (main constituent) immersed in a static magnetic field with aneutralizing stationary ion background. By using the multiple-scale reductiveperturbation technique with the Lorentz transformation, the Zakharov-Kuznetsov(ZK) and the modified Zakharov-Kuznetsov (mZK) equations are derived todescribe the evolution of EASs in two different regimes of relativisticdegeneracy: $r_{d0}<50$ and $r_{d0}gtrsim50$. The characteristics of the planesoliton solutions of ZK and mZK equations and the soliton energy are studied.We show that the solitons moving at an angle $alpha$ to the external magneticfield can be unstable under transverse long-wavelength perturbations. Thegrowth rates of instabilities are obtained and analyzed with the effects of therelativity parameter $beta_{rm{cl}}=k_BT_{rm{cl}}/m_ec^2$ and the degeneracyparameter $r_{d0}$, where $k_B$ is the Boltzmann constant and $T_{rm{cl}}$ isthe temperature of classical electrons. Interestingly, the ZK solitons, even ifit is stable for the first-order perturbations, can be unstable in thesecond-order correction. Furthermore, while the first-order growth rates ofperturbations for ZK solitons tend to vanish as $alpharightarrow 38^circ$,that for the mZK soliton goes to zero as $alpharightarrow 90^circ$. However,depending on the angle $alpha$, the growth rates are found to be reducedeither by increasing the values of $beta_{rm{cl}}$ or by decreasing thevalues of $r_{d0}$. The applications of our results to astrophysical plasmas,such as those in the environments of white dwarfs are discussed.
我们研究了相对论天体物理磁等离子体中的小振幅电子声孤子(EASs)的非线性理论,该等离子体由两种温度的电子组成:一个稀疏的相对论非变性经典电子群和一组完全变性的致密相对论电子(主要成分),它们浸没在一个具有中和静态离子背景的静态磁场中。通过使用洛伦兹变换的多尺度还原扰动技术,推导出了扎哈罗夫-库兹涅佐夫(ZK)方程和修正的扎哈罗夫-库兹涅佐夫(mZK)方程,以描述EAS在两种不同的相对退化状态下的演化:$r_{d0}<50$和$r_{d0}gtrsim50$。我们研究了ZK方程和mZK方程的平面孤子解的特征以及孤子能量。我们发现,与外磁场成$alpha$角运动的孤子在横向长波扰动下是不稳定的。我们得到了不稳定性的增长率,并分析了不稳定性参数$beta_{rm{cl}}=k_BT_{rm{cl}}/m_ec^2$和变性参数$r_{d0}$的影响,其中$k_B$是玻尔兹曼常数,$T_{rm{cl}}$是经典电子的温度。有趣的是,ZK 孤子即使在一阶扰动下是稳定的,在二阶修正时也可能是不稳定的。此外,虽然ZK孤子的一阶扰动增长率在$alpharightarrow 38^circ$时趋于消失,但mZK孤子的一阶扰动增长率在$alpharightarrow 90^circ$时趋于零。然而,根据角度 $alpha$ 的不同,我们发现增长速率会通过增加 $beta_{rm{cl}}$ 的值或减少 $r_{d0}$ 的值而降低。讨论了我们的结果在天体物理等离子体(如白矮星环境中的等离子体)中的应用。
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引用次数: 0
Short wavelength limit of the dynamic Matsubara local field correction 动态松原局部场校正的短波长极限
Pub Date : 2024-08-07 DOI: arxiv-2408.04669
Tobias Dornheim, Panagiotis Tolias, Zhandos Moldabekov, Jan Vorberger
We investigate the short wavelength limit of the dynamic Matsubara localfield correction $widetilde{G}(mathbf{q},z_l)$ of the uniform electron gasbased on direct emph{ab initio} path integral Monte Carlo (PIMC) results overan unprecedented range of wavenumbers, $qlesssim20q_textnormal{F}$, where$q_textnormal{F}$ is the Fermi wavenumber. We find excellent agreement withthe analytically derived asymptotic limit by Hou emph{etal.}~[textit{Phys.~Rev.~B}~textbf{106}, L081126 (2022)] for the static localfield correction and empirically confirm the independence of the shortwavelength limit with respect to the Matsubara frequency $z_l$. In the warmdense matter regime, we find that the onset of the quantum tail in the staticlocal field correction closely coincides with the onset of the algebraic tailin the momentum distribution function and the corresponding empirical criterionreported by Hunger emph{et al.}~[textit{Phys.~Rev.~E} textbf{103}, 053204(2021)]. In the strongly coupled electron liquid regime, our calculationsreveal a more complicated non-monotonic convergence towards the $qtoinfty$limit that is shaped by the spatial structure in the system. We expect ourresults to be of broad interest for a number of fields including the study ofmatter under extreme conditions, the development of improved dielectrictheories, and the construction of advanced exchange--correlation functionalsfor thermal density functional theory.
我们基于直接的路径积分蒙特卡洛(PIMC)结果,研究了均匀电子气的动态松原局部场校正$widetilde{G}(mathbf{q},z_l)$的短波长极限,其波长范围是前所未有的,即$qlesssim20q_textnormal{F}$,其中$q_textnormal{F}$是费米波长。我们发现,对于静态局部场校正,这与Hou emph{etal.}~[textit{Phys.~Rev.~B}~textbf{106},L081126 (2022)]分析推导的渐近极限非常一致,并从经验上证实了短波长极限与松原频率$z_l$的独立性。在暖致密物质体系中,我们发现静态局域场校正中量子尾的起始点与动量分布函数中代数尾的起始点以及 Hunger [textit{Phys.~Rev.~E} [textbf{103}, 053204(2021)]报告的相应经验标准密切吻合。]在强耦合电子液体体系中,我们的计算揭示了一个更复杂的非单调收敛过程,它是由体系中的空间结构决定的。我们希望我们的结果能在许多领域引起广泛兴趣,包括极端条件下的物质研究、改进介电理论的发展,以及为热密度泛函理论构建先进的交换-相关函数。
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引用次数: 0
Enabling High-Throughput Parallel I/O in Particle-in-Cell Monte Carlo Simulations with openPMD and Darshan I/O Monitoring 利用 openPMD 和 Darshan I/O 监控在细胞内粒子蒙特卡罗模拟中实现高吞吐量并行 I/O
Pub Date : 2024-08-06 DOI: arxiv-2408.02869
Jeremy J. Williams, Daniel Medeiros, Stefan Costea, David Tskhakaya, Franz Poeschel, René Widera, Axel Huebl, Scott Klasky, Norbert Podhorszki, Leon Kos, Ales Podolnik, Jakub Hromadka, Tapish Narwal, Klaus Steiniger, Michael Bussmann, Erwin Laure, Stefano Markidis
Large-scale HPC simulations of plasma dynamics in fusion devices requireefficient parallel I/O to avoid slowing down the simulation and to enable thepost-processing of critical information. Such complex simulations lackingparallel I/O capabilities may encounter performance bottlenecks, hinderingtheir effectiveness in data-intensive computing tasks. In this work, we focuson introducing and enhancing the efficiency of parallel I/O operations inParticle-in-Cell Monte Carlo simulations. We first evaluate the scalability ofBIT1, a massively-parallel electrostatic PIC MC code, determining its initialwrite throughput capabilities and performance bottlenecks using an HPC I/Operformance monitoring tool, Darshan. We design and develop an adaptor to theopenPMD I/O interface that allows us to stream PIC particle and fieldinformation to I/O using the BP4 backend, aggressively optimized for I/Oefficiency, including the highly efficient ADIOS2 interface. Next, we exploreadvanced optimization techniques such as data compression, aggregation, andLustre file striping, achieving write throughput improvements while enhancingdata storage efficiency. Finally, we analyze the enhanced high-throughputparallel I/O and storage capabilities achieved through the integration ofopenPMD with rapid metadata extraction in BP4 format. Our study demonstratesthat the integration of openPMD and advanced I/O optimizations significantlyenhances BIT1's I/O performance and storage capabilities, successfullyintroducing high throughput parallel I/O and surpassing the capabilities oftraditional file I/O.
对核聚变装置中的等离子体动力学进行大规模高性能计算仿真需要高效的并行 I/O,以避免降低仿真速度,并对关键信息进行后处理。缺乏并行 I/O 能力的此类复杂仿真可能会遇到性能瓶颈,从而影响其在数据密集型计算任务中的效率。在这项工作中,我们重点关注在粒子池蒙特卡罗模拟中引入并提高并行 I/O 操作的效率。我们首先评估了大规模并行静电 PIC MC 代码 BIT1 的可扩展性,利用 HPC I/O 性能监控工具 Darshan 确定了其初始写入吞吐能力和性能瓶颈。我们设计并开发了openPMD I/O接口的适配器,允许我们使用BP4后端将PIC粒子和场信息流传输到I/O,并针对I/O效率进行了积极优化,包括高效的ADIOS2接口。接下来,我们探索了数据压缩、聚合和 Lustre 文件条带化等高级优化技术,在提高写入吞吐量的同时提升了数据存储效率。最后,我们分析了通过将 openPMD 与 BP4 格式的快速元数据提取集成所实现的增强型高吞吐量并行 I/O 和存储能力。我们的研究表明,openPMD 与高级 I/O 优化的集成大大提高了 BIT1 的 I/O 性能和存储能力,成功引入了高吞吐量并行 I/O,并超越了传统文件 I/O 的能力。
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引用次数: 0
Suppression of Edge Localized Modes in ITER Baseline Scenario in EAST using Edge Localized Magnetic Perturbations 利用边缘局部磁扰动抑制 EAST 中 ITER 基准方案的边缘局部模态
Pub Date : 2024-08-06 DOI: arxiv-2408.03272
P. Xie, Y. Sun, M. Jia, A. Loarte, Y. Q. Liu, C. Ye, S. Gu, H. Sheng, Y. Liang, Q. Ma, H. Yang, C. A. Paz-Soldan, G. Deng, S. Fu, G. Chen, K. He, T. Jia, D. Lu, B. Lv, J. Qian, H. H. Wang, S. Wang, D. Weisberg, X. Wu, W. Xu, X. Yan, Y. Yu, Q. Zang, L. Zeng, T. Zhang, C. Zhou, Z. Zhou, B. Wan, the EAST Team
We report the suppression of Type-I Edge Localized Modes (ELMs) in the EASTtokamak under ITER baseline conditions using $n = 4$ Resonant MagneticPerturbations (RMPs), while maintaining energy confinement. Achieving RMP-ELMsuppression requires a normalized plasma beta ($beta_N$) exceeding 1.8 in atarget plasma with $q_{95}approx 3.1$ and tungsten divertors. Quasi-linearmodeling shows high plasma beta enhances RMP-driven neoclassical toroidalviscosity torque, reducing field penetration thresholds. These findingsdemonstrate the feasibility and efficiency of high $n$ RMPs for ELM suppressionin ITER.
我们报告了在ITER基线条件下使用$n = 4$共振磁扰动(RMPs)抑制EASTtokamak中的I型边缘局部模(ELMs),同时保持能量约束的情况。实现RMP-ELM抑制要求目标等离子体中的归一化等离子体β($beta_N$)超过1.8,q_{95}approx 3.1$和钨分流器。准线性建模显示,高等离子体β能增强RMP驱动的新古典环形粘滞力矩,降低场穿透阈值。这些发现证明了在热核实验堆中使用高 n$ RMP 抑制 ELM 的可行性和效率。
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引用次数: 0
Wavenumber Calibration for an Imaging Refractometer 成像折射仪的波长校准
Pub Date : 2024-08-05 DOI: arxiv-2408.02660
A. Rososhek, B. R. Kusse, W. M. Potter, N. J. Wilson, E. S. Lavine, D. A. Hammer
An imaging refractrometer can be used to describe the properties of ahigh-energy density plasma by analyzing the transverse intensity distributionof a laser beam that has passed through the plasma. The output of therefractrometer can be directly calibrated in terms of beam deflection anglesusing ray transfer matrix analysis. This paper describes a novel way tocalibrate the refractrometer output in terms of the spatial wavenumbers of thetransverse intensity distribution of the laser beam. This is accomplished byreplacing the plasma with a gridded structure that modulates the transverseintensity of the beam, producing an intensity distribution with a known FourierTransform. This calibration technique will generate a one-to-one mapping ofdeflection angle to wavenumber and will enable measurement of the size ofFourier space available to the system. The spectrum of wavenumbers generatedwhen the laser beam passes through a high-energy density plasma may containinformation about the types of density fluctuation that are present in theplasma.
成像折射仪可以通过分析穿过等离子体的激光束的横向强度分布来描述高能量密度等离子体的特性。通过射线转移矩阵分析,可以直接根据光束偏转角校准折射仪的输出。本文介绍了一种根据激光束横向强度分布的空间波数校准折射仪输出的新方法。具体方法是用网格结构代替等离子体,网格结构会对光束的横向强度进行调制,从而产生具有已知傅里叶变换的强度分布。这种校准技术将产生偏转角与波数的一对一映射,并能测量系统可用的傅立叶空间大小。激光束穿过高能量密度等离子体时产生的波长谱可能包含等离子体中存在的密度波动类型的信息。
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引用次数: 0
Tomographic diffractometry of laser-induced plasma formations 激光诱导等离子体形成的断层衍射仪
Pub Date : 2024-08-05 DOI: arxiv-2408.02772
Ivan Ostrovsky, Gilad Hurvitz, Eli Bograd, Eli Flaxer, Soumitra Hazra, Sharly Fleischer
A sensitive optical diffractometry method is developed and utilized foradvanced tomography of laser-induced air plasma formations. Using transversediffractometry and Supergaussian plasma distribution modelling we extract themain parameters of the plasma being the plasma density, width and shape with 20micrometer spatial resolution throughout the plasma formation. Theexperimentally recorded diffraction patterns fitted by the Supergaussian plasmamodel are found to capture unprecedentedly delicate traits in the evolution ofthe plasma from its effective birth and on. Key features in the spatialevolution of the plasma such as the 'escape position', the 'turning point' andthe refocusing dynamics of the beam are identified and explored in details. Ourwork provides experimental and theoretical access into the highly nonlineardynamics of laser-induced air plasma.
我们开发了一种灵敏的光学衍射方法,并将其用于激光诱导空气等离子体形成的高级层析成像。利用横向衍射测量法和超高斯等离子体分布模型,我们提取了等离子体的主要参数,包括等离子体密度、宽度和形状,整个等离子体形成过程的空间分辨率为 20 微米。通过超高斯等离子体模型拟合实验记录的衍射图样,我们发现它捕捉到了等离子体从有效诞生开始的演变过程中前所未有的微妙特征。等离子体空间演化的关键特征,如 "逃逸位置"、"转折点 "和光束的再聚焦动力学,都得到了详细的识别和探索。我们的工作为研究激光诱导空气等离子体的高度非线性动力学提供了实验和理论途径。
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引用次数: 0
Long-living Equilibria in Kinetic Astrophysical Plasma Turbulence 动力学天体物理等离子体湍流中的长效平衡
Pub Date : 2024-08-05 DOI: arxiv-2408.02656
Mario Imbrogno, Claudio Meringolo, Sergio Servidio, Alejandro Cruz-Osorio, Benoît Cerutti, Francesco Pegoraro
Turbulence in classical fluids is characterized by persistent structures thatemerge from the chaotic landscape. We investigate the analogous process infully kinetic plasma turbulence by using high-resolution, direct numericalsimulations in two spatial dimensions. We observe the formation of long-livingvortices with a profile typical of macroscopic, magnetically dominatedforce-free states. Inspired by the Harris pinch model for inhomogeneousequilibria, we describe these metastable solutions with a self-consistentkinetic model in a cylindrical coordinate system centered on a representativevortex, starting from an explicit form of the particle velocity distributionfunction. Such new equilibria can be simplified to a Gold-Hoyle solution of themodified force-free state. Turbulence is mediated by the long-livingstructures, accompanied by transients in which such vortices merge and formself-similarly new metastable equilibria. This process can be relevant to thecomprehension of various astrophysical phenomena, going from the formation ofplasmoids in the vicinity of massive compact objects to the emergence ofcoherent structures in the heliosphere.
经典流体湍流的特点是从混沌景观中产生的持久结构。我们通过在两个空间维度上使用高分辨率的直接数值模拟,研究了全动能等离子体湍流中的类似过程。我们观察到长寿命涡流的形成,其轮廓是典型的宏观无磁状态。受哈里斯非均质内部平衡夹模型的启发,我们从粒子速度分布函数的明确形式出发,在以代表性涡旋为中心的圆柱坐标系中,用自洽动力学模型描述了这些可迁移解。这种新的平衡状态可以简化为经过改进的无力状态的戈德-霍伊尔解。湍流是由长寿命结构介导的,并伴随着瞬态,在瞬态中,这种涡旋合并并形成自身类似的新的可转移平衡。这一过程与理解各种天体物理现象息息相关,包括大质量致密天体附近的等离子体的形成,以及日光层中相干结构的出现。
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引用次数: 0
Characterizing the Performance of the Implicit Massively Parallel Particle-in-Cell iPIC3D Code 鉴定隐式大规模并行 "单元内粒子 "iPIC3D 代码的性能
Pub Date : 2024-08-04 DOI: arxiv-2408.01983
Jeremy J. Williams, Daniel Medeiros, Ivy B. Peng, Stefano Markidis
Optimizing iPIC3D, an implicit Particle-in-Cell (PIC) code, for large-scale3D plasma simulations is crucial for space and astrophysical applications. Thiswork focuses on characterizing iPIC3D's communication efficiency throughstrategic measures like optimal node placement, communication and computationoverlap, and load balancing. Profiling and tracing tools are employed toanalyze iPIC3D's communication efficiency and provide practicalrecommendations. Implementing optimized communication protocols addresses theGeospace Environmental Modeling (GEM) magnetic reconnection challenges inplasma physics with more precise simulations. This approach captures thecomplexities of 3D plasma simulations, particularly in magnetic reconnection,advancing space and astrophysical research.
iPIC3D 是一种用于大规模三维等离子体模拟的隐式 "粒子在单元中"(PIC)代码,优化 iPIC3D 对于太空和天体物理应用至关重要。这项工作的重点是通过优化节点位置、通信和计算重叠以及负载平衡等战略措施来鉴定 iPIC3D 的通信效率。使用剖析和跟踪工具来分析 iPIC3D 的通信效率,并提供实用建议。通过实施优化的通信协议,可以更精确地模拟等离子体物理中的太空环境建模(GEM)磁重联难题。这种方法捕捉到了三维等离子体模拟的复杂性,尤其是在磁重联方面,推动了空间和天体物理研究的发展。
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引用次数: 0
Large-Angle Collisions in Burning Plasmas of Inertial Confinement Fusions 惯性约束聚变燃烧等离子体中的大角度碰撞
Pub Date : 2024-08-04 DOI: arxiv-2408.01948
Y. H. Xue, D. Wu, J. Zhang
A recent neutron analysis of experiments conducted at the National IgnitionFacility (NIF) has revealed deviations from the Maxwellian distributions in theion relative kinetic energy of burning plasmas, with the surprising emergenceof supra-thermal deuterium and tritium (DT) ions that fall outside thepredictions of macroscopic statistical hydrodynamic models. Ourhybrid-particle-in-cell simulations, incorporating the newly-developed model oflarge-angle collisions, suggest this could be attributed to the increasedsignificance of large-angle collisions among DT ions and (alpha)-particlesin the burning plasma. Extensive investigations into the implications oflarge-angle collisions in the burning plasma have yield several key findings,including an ignition moment promotion by (sim 10, {rm ps}), the presenceof supra-thermal ions below an energy threshold, and a hotspot expansion rateabout six times faster than expected. Furthermore, we have established thecongruency between the NIF neutron spectral moment analysis and oursimulations. Our researches on large-angle collisions in burning plasmas offernew insights for experiment interpretation and update our understanding for newdesigns of inertial confinement fusions.
最近对在美国国家点火装置(NIF)进行的实验进行的中子分析表明,燃烧等离子体的离子相对动能偏离了麦克斯韦分布,令人惊讶的是出现了超热氘和氚(DT)离子,它们超出了宏观统计流体力学模型的预测范围。我们结合新开发的大角度碰撞模型进行的混合粒子在胞模拟表明,这可能是由于氘和氚离子与燃烧等离子体中的(α)粒子之间的大角度碰撞的重要性增加了。对燃烧等离子体中大角度碰撞的影响的广泛研究产生了几个关键的发现,包括由(sim 10, {rm ps})促进的点燃力矩、低于能量阈值的超热离子的存在,以及比预期快六倍左右的热点膨胀率。此外,我们还建立了NIF中子谱矩分析与我们的模拟之间的一致性。我们对燃烧等离子体中大角度碰撞的研究为实验解释提供了新的见解,并更新了我们对惯性约束聚变新设计的理解。
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引用次数: 0
期刊
arXiv - PHYS - Plasma Physics
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