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On turbulent magnetic reconnection: fast and slow mean steady-states 关于湍流磁重联:快慢平均稳态
Pub Date : 2024-09-11 DOI: arxiv-2409.07346
Sage Stanish, David MacTaggart
We investigate a model of turbulent magnetic reconnection introduced by Yokoiand collaborators (Phys. Rev. Lett. 110, 255001) and show that the classictwo-dimensional, steady-state Sweet-Parker and Petschek reconnection solutionsare supported. We present evidence that these are the only two steady-statereconnection solutions, and we determine the criterion for their selection.Sweet-Parker reconnection occurs when there is no growth in turbulent energy,whereas Petschek reconnection occurs when the current density in thereconnecting current sheet is able to surpass a critical value, allowing forthe growth of turbulent energy that creates the diffusion region. Further, weshow that the Petschek solutions are self-similar, depending on the value ofthe turbulent time scale. The self-consistent development of Petschekreconnection through turbulence, within the model, is an example of fast andsteady magnetic reconnection without an explicit need for the collisionlessterms in an extended Ohm's law.
我们研究了 Yokoi 及其合作者提出的湍流磁重连接模型(Phys. Rev. Lett.Sweet-Parker 重连接发生在湍流能量没有增长的时候,而 Petschek 重连接发生在连接电流片中的电流密度能够超过临界值,从而允许湍流能量增长并形成扩散区域的时候。此外,我们还发现,佩切克解是自相似的,这取决于湍流时间尺度的值。在该模型中,通过湍流自洽地发展佩切克再连接,是快速稳定磁性再连接的一个例子,而不需要扩展欧姆定律中明确的碰撞参数。
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引用次数: 0
Numerical Investigations on Dilute Cold Plasma Potential and Electron Temperature 稀冷等离子体电位和电子温度的数值研究
Pub Date : 2024-09-10 DOI: arxiv-2409.06758
Shiying Cai, Chunpei Cai, Zhen Zhang
Simulation results are presented to demonstrate electron temperature andelectrical potential development in dilute and cold plasma development. Thesimulation method is a hybrid method which adopted fluid model for electronsdue to their high mobility, while heavy ions and neutrals are modelled with thedirect simulation Monte Carlo and Particle-In-Cell methods. The flows includesteady, starting-up and shutting-down scenarios. The goal is to illustrate theexponential behaviors which were predicted in several recently developedformulas. Those formulas include many coefficients related with localproperties, and they are difficult to determine. Hence, those trends can onlyefficiently demonstrate by numerical simulations which are more convenient thanexperimental measurements. The results confirm several facts. For steady plasmaflows, the electron temperature and potential profiles are smooth, very likely,they can be approximated with exponential functions. For unsteady flows, theproperty developing trends in the shutting down or starting-up processes changemonotonically. Further, at locations with large gradients, the property changetrends are less ideal than those formulas. This is consistent with theassumptions with which those formulas were developed.
模拟结果展示了电子在稀等离子体和冷等离子体中的温度和电势发展。模拟方法是一种混合方法,由于电子的高流动性,采用了流体模型,而重离子和中子则采用直接模拟蒙特卡洛法和粒子内胞法。流体包括稳定、启动和关闭三种情况。目的是说明最近开发的几个公式所预测的指数行为。这些公式包括许多与局部特性相关的系数,而且很难确定。因此,这些趋势只能通过数值模拟来有效证明,而数值模拟比实验测量更方便。结果证实了几个事实。对于稳定的等离子体流,电子温度和电势曲线是平滑的,很可能可以用指数函数来近似。对于非稳态流,关闭或启动过程中的特性发展趋势是单调变化的。此外,在梯度较大的位置,属性变化趋势不如上述公式理想。这与这些公式的假设是一致的。
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引用次数: 0
Theoretical Study of Inhomogeneity Effects on Three-Wave Parametric Instability: A WKBJ Approach 非均质性对三波参量不稳定性影响的理论研究:WKBJ 方法
Pub Date : 2024-09-10 DOI: arxiv-2409.06677
Taotao Zhou, Nong Xiang, Chunyun Gan, Tianyang Xia
The mechanisms by which media inhomogeneity affects the three wave parametricinstability (PI), including the wave number mismatch and the parametergradients, are investigated using an approach based on theWentzel-Kramers-Brillouin-Jeffreys (WKBJ) approximation. This approachtransforms the coupling wave equations into an amplitude equation anditeratively solves its characteristic polynomials. By analyzing the solutions,we proposed that the wave number of the quasi-mode, a key term in the wavenumber mismatch of non-resonant type PI, should be a complex root of thequasi-mode's linear dispersion equation. Based on this, we derive a unifiedamplification factor formula that covers the resonant and non-resonant, theforward-scattered and backward-scattered types of PI. The impact of parametergradients on the local spatial growth rate becomes significant when theinhomogeneity exceeds 10^{-3}. Considering parameter gradients extends ourapproach's validity to an inhomogeneity of about 10^{-2}. This approach holdspromise for more specific PI modeling in the future.
采用基于文采尔-克拉默-布里渊-杰弗里斯(WKBJ)近似的方法,研究了介质不均匀性影响三波参数不稳定性(PI)的机制,包括波数失配和参数梯度。这种方法将耦合波方程转换为振幅方程,并对其特征多项式进行迭代求解。通过分析求解结果,我们提出了准模式的波数(非共振型 PI 波数失配的关键项)应为准模式线性色散方程的复根。在此基础上,我们推导出了一个统一的放大系数公式,它涵盖了共振型和非共振型、前向散射型和后向散射型 PI。当同质性超过 10^{-3} 时,参数梯度对局部空间增长率的影响就变得非常显著。考虑参数梯度可以将我们方法的有效性扩展到约 10^{-2} 的不均匀性。这种方法有望在未来用于更具体的 PI 建模。
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引用次数: 0
Perfectly Matched Layer implementation for E-H fields and Complex Wave Envelope propagation in the Smilei PIC code Smilei PIC 代码中 E-H 场和复杂波包络传播的完美匹配层实现方法
Pub Date : 2024-09-10 DOI: arxiv-2409.06287
Guillaume Bouchard, Arnaud Beck, Francesco Massimo, Arnd Specka
The design of absorbing boundary conditions (ABC) in a numerical simulationis a challenging task. In the best cases, spurious reflections remain for someangles of incidence or at certain wave lengths. In the worst, ABC are not evenpossible for the set of equations and/or numerical schemes used in thesimulation and reflections can not be avoided at all. Perflectly Matched Layer(PML) are layers of absorbing medium which can be added at the simulation edgesin order to significantly damp both outgoing and reflected waves, thuseffectively playing the role of an ABC. They are able to absorb waves andprevent reflections for all angles and frequencies at a modest computationalcost. It increases the simulation accuracy and negates the need of oversizingthe simulation usually imposed by ABC and leading to a waste of computationalresources and power. PML for finite-difference time-domain (FDTD) schemes inParticle-In-cell (PIC) codes are presented for both Maxwell's equations and,for the first time, the envelope wave equation. Being of the second order, thelatter requires significant evolutions with respect to the former. It appliesin particular to simulations of lasers propagating in plasmas using the reducedComplex Envelope model. The implementation is done in the open source codeSmilei for both Cartesian and azimuthal modes (AM) decomposition geometries.
在数值模拟中设计吸收边界条件(ABC)是一项具有挑战性的任务。在最好的情况下,在某些入射角或某些波长下仍会出现虚假反射。在最坏的情况下,模拟中使用的方程组和/或数值方案甚至不可能实现 ABC,反射根本无法避免。全匹配层(PML)是一种吸收介质层,可添加到模拟边缘,以显著抑制出射波和反射波,从而有效发挥 ABC 的作用。它们能够以适度的计算成本吸收所有角度和频率的波并防止反射。它提高了仿真精度,避免了 ABC 通常带来的仿真规模过大而导致计算资源和功率浪费的问题。针对麦克斯韦方程和包络波方程,首次提出了粒子内单元(PIC)代码中有限差分时域(FDTD)方案的 PML。作为二阶方程,后者需要相对于前者的重大演变。它尤其适用于使用简化的复杂包络模型对等离子体中传播的激光进行模拟。在开放源代码Smilei中实现了笛卡尔和方位模(AM)分解几何。
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引用次数: 0
Kink instability of flux ropes in partially-ionised plasmas 部分电离等离子体中通量绳的扭结不稳定性
Pub Date : 2024-09-10 DOI: arxiv-2409.06901
Giulia Murtas, Andrew Hillier, Ben Snow
In the solar atmosphere, flux ropes are subject to current driveninstabilities that are crucial in driving plasma eruptions, ejections andheating. A typical ideal magnetohydrodynamics (MHD) instability developing influx ropes is the helical kink, which twists the flux rope axis. The growth ofthis instability can trigger magnetic reconnection, which can explain theformation of chromospheric jets and spicules, but its development has neverbeen investigated in a partially-ionised plasma (PIP). Here we study the kinkinstability in PIP to understand how it develops in the solar chromosphere,where it is affected by charge-neutral interactions. Partial ionisation speedsup the onset of the non-linear phase of the instability, as the plasma $beta$of the isolated plasma is smaller than the total plasma $beta$ of the bulk.The distribution of the released magnetic energy changes in fully andpartially-ionised plasmas, with a larger increase of internal energy associatedto the PIP cases. The temperature in PIP increases faster also due to heatingterms from the two-fluid dynamics. PIP effects trigger the kink instability onshorter time scales, which is reflected in a more explosive chromospheric fluxrope dynamics. These results are crucial to understand the dynamics ofsmall-scale chromospheric structures - mini-filament eruptions - that this farhave been largely neglected but could significantly contribute to chromosphericheating and jet formation.
在太阳大气中,通量绳受制于电流驱动的不稳定性,而这种不稳定性在驱动等离子体爆发、喷射和加热方面至关重要。一种典型的理想磁流体力学(MHD)不稳定性是螺旋扭结,它会扭曲通量绳的轴线。这种不稳定性的增长可以引发磁重联,从而解释色球层喷流和尖晶石的形成,但它在部分电离等离子体(PIP)中的发展还从未被研究过。在这里,我们研究了部分电离等离子体中的扭结不稳定性,以了解它在太阳色球层中是如何发展的,在那里它受到电荷-中性相互作用的影响。部分电离加速了不稳定性非线性阶段的开始,因为孤立等离子体的等离子$/beta$小于整个等离子体的等离子$/beta$。由于双流体动力学的加热效应,PIP 中的温度上升更快。PIP 效应会在更短的时间尺度上引发扭结不稳定性,这反映在更具爆炸性的色球通量线动力学中。这些结果对于理解小尺度色球层结构--微型纤丝喷发--的动力学至关重要。
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引用次数: 0
Enhancement of fusion reactivities using non-Maxwellian energy distributions 利用非麦克斯韦能量分布提高聚变反应活度
Pub Date : 2024-09-09 DOI: arxiv-2409.05848
Ben I. Squarer, Carlo Presilla, Roberto Onofrio
We discuss conditions for the enhancement of fusion reactivities arising fromdifferent choices of energy distribution functions for the reactants. The keyelement for potential gains in fusion reactivity is identified in thefunctional dependence of the tunnellng coefficient upon the energy, ensuringthe existence of a finite range of temperatures for which reactivity of fusionprocesses is boosted with respect to the Maxwellian case. This is shown, usinga convenient parameterization of the tunneling coefficient dependence upon theenergy, analytically in the simplified case of a bimodal Maxwell-Boltzmanndistribution, and numerically for kappa-distributions. We then considertunneling potentials progressively better approximating fusion processes, andevaluate in each case the average reactivity in the case ofkappa-distributions.
我们讨论了反应物能量分布函数的不同选择所产生的聚变反应性增强条件。聚变反应性潜在增益的关键因素在于隧穿系数对能量的函数依赖性,它确保存在一个有限的温度范围,在这个温度范围内,聚变过程的反应性相对于麦克斯韦情况会得到提高。利用隧道系数与能量关系的方便参数化,我们对双峰麦克斯韦-波兹曼分布的简化情况进行了分析,并对卡帕分布进行了数值计算,从而证明了这一点。然后,我们考虑了逐渐更接近聚变过程的隧道势,并在每种情况下评估了卡帕分布情况下的平均反应性。
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引用次数: 0
Integrating Novel Stellarator Single-Stage Optimization Algorithms to Design the Columbia Stellarator Experiment 整合新型恒星仪单级优化算法,设计哥伦比亚恒星仪实验
Pub Date : 2024-09-09 DOI: arxiv-2409.05261
A. Baillod, E. J. Paul, G. Rawlinson, M. Haque, S. W. Freiberger, S. Thapa
The Columbia Stellarator eXperiment (CSX), currently being designed atColumbia University, aims to test theoretical predictions related to QA plasmabehavior, and to pioneer the construction of an optimized stellarator usingthree-dimensional, non-insulated high-temperature superconducting (NI-HTS)coils. The magnetic configuration is generated by a combination of two circularplanar poloidal field (PF) coils and two 3D-shaped interlinked (IL) coils, withthe possibility to add windowpane coils to enhance shaping and experimentalflexibility. The PF coils and vacuum vessel are repurposed from the formerColumbia Non-Neutral Torus (CNT) experiment, while the IL coils will becustom-wound in-house using NI-HTS tapes. To obtain a plasma shape that meetsthe physics objectives with a limited number of coils, novel single-stageoptimization techniques are employed, optimizing both the plasma and coilsconcurrently, in particular targeting a tight aspect ratio QA plasma andminimized strain on the HTS tape. Despite the increased complexity due to theexpanded degrees of freedom, these methods successfully identify optimizedplasma geometries that can be realized by coils meeting engineeringspecifications. This paper discusses the derivation of the constraints andobjectives specific to CSX, and describe how two recently developedsingle-stage optimization methodologies are applied to the design of CSX. A setof selected configurations for CSX is then described in detail.
哥伦比亚恒星仪实验(CSX)目前正在哥伦比亚大学进行设计,其目的是测试与QA等离子体行为有关的理论预测,并率先使用三维非绝缘高温超导(NI-HTS)线圈建造优化的恒星仪。磁配置由两个环形平面极性场(PF)线圈和两个三维形状的相互连接(IL)线圈组合而成,并可添加窗格线圈,以增强塑形和实验灵活性。PF 线圈和真空容器是从以前的哥伦比亚非中性环(CNT)实验中重新利用的,而 IL 线圈将使用 NI-HTS 磁带在内部定制绕制。为了在线圈数量有限的情况下获得符合物理目标的等离子体形状,我们采用了新颖的单级优化技术,同时优化等离子体和线圈,特别是针对高宽比 QA 等离子体和 HTS 磁带上的最小应变。尽管由于自由度的扩大而增加了复杂性,但这些方法成功地确定了优化的等离子体几何形状,这些几何形状可以通过符合工程规格的线圈来实现。本文讨论了 CSX 的特定约束和目标的推导,并介绍了如何将最近开发的两种单级优化方法应用于 CSX 的设计。然后详细介绍了 CSX 的一组选定配置。
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引用次数: 0
Rapid, strongly magnetized accretion in the zero-net-vertical-flux shearing box 零网垂直流剪切箱中的快速强磁化增生
Pub Date : 2024-09-09 DOI: arxiv-2409.05467
Jonathan Squire, Eliot Quataert, Philip F. Hopkins
We show that there exist two qualitatively different turbulent states of thezero-net-vertical-flux shearing box. The first, which has been studied indetail previously, is characterized by a weakly magnetized ($betasim50$)midplane with slow periodic reversals of the mean azimuthal field (dynamocycles). The second (the "low-$beta$ state"), which is the main subject ofthis paper, is characterized by a strongly magnetized $betasim1$ midplanedominated by a coherent azimuthal field with much stronger turbulence and muchlarger accretion stress $alpha sim 1$. The low-$beta$ state is realized insimulations that begin with sufficiently strong azimuthal magnetic fields. Themean azimuthal field in the low-$beta$ state is quasi steady (no cycles) andis sustained by a dynamo mechanism that compensates for the continued loss ofmagnetic flux through the vertical boundaries; we attribute the dynamo to thecombination of differential rotation and the Parker instability, although manyof its details remain unclear. Vertical force balance in the low-$beta$ stateis dominated by the mean magnetic pressure except at the midplane, wherethermal pressure support is always important (this is true even whensimulations are initialized at $betall1$, provided the thermal scale-heightof the disk is well-resolved). The efficient angular momentum transport in thelow-$beta$ state may resolve long-standing tension between predictions ofmagnetorotational turbulence (at high $beta$) and observations; likewise, thebifurcation in accretion states we find may be important for understanding thestate transitions observed in dwarf novae, X-ray binaries, and changing-lookAGN. We discuss directions for future work including the implications of ourresults for global accretion disk simulations.
我们证明,零网垂直流剪切盒存在两种质地不同的湍流状态。第一种状态是弱磁化($betasim50$)中面,平均方位角场有缓慢的周期性逆转(动力学周期)。第二种("低$beta$态")是本文的主要研究对象,其特征是一个强磁化的$betasim1$中面,以一个相干的方位场为主,具有更强的湍流和更大的($alpha sim 1$)吸积应力。低$beta$状态是在以足够强的方位磁场开始的模拟中实现的。低$beta$态的方位磁场是准稳定的(无周期),由动力机制维持,以补偿通过垂直边界持续损失的磁通量;我们将动力机制归因于差转和帕克不稳定性的结合,尽管其许多细节仍不清楚。低$beta$状态下的垂直力平衡由平均磁压主导,但中面除外,在中面,热压支持始终很重要(即使在$betall1$下初始化模拟也是如此,前提是圆盘的热标高得到很好的解析)。在低$beta$状态下的高效角动量传输可能会解决磁动湍流(在高$beta$状态下)的预测与观测之间长期存在的矛盾;同样,我们发现的吸积状态的分叉可能对理解在矮新星、X射线双星和不断变化的AGN中观测到的状态转换非常重要。我们讨论了未来的工作方向,包括我们的结果对全球吸积盘模拟的影响。
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引用次数: 0
Faraday shield dissipation in the drivers of SPIDER based on electromagnetic 3D calculations 基于电磁 3D 计算的 SPIDER 驱动器中的法拉第屏蔽损耗
Pub Date : 2024-09-09 DOI: arxiv-2409.05821
D. López-Bruna, S. Denizeau, I. Predebon, A. La Rosa, C. Poggi, P. Agostinetti
SPIDER (Source for the Production of Ions of Deuterium Extracted from Rfplasma) is a full-scale prototype of the ITER NBI source. It is based on theconcept of inductive coupling between radio-frequency current drive and plasma.Present three-dimensional (3D) electromagnetic calculations of stationary RFfields in SPIDER permit an evaluation of the power dissipation in its mainconstituents. Taking experimental plasma parameters as input, we concentrate onthe power dissipation in the copper-made Faraday shield lateral wall (FSLW) ofthe source for discharges with and without a static magnetic filter field. Inagreement with our previous results and a first comparison with calorimetrydata from the FSLW cooling circuit, the FSLW cylinder alone absorbs around 50%of the available power for the studied plasma parameters. A hypothesizedimprovement of transport confinement may increase significantly the efficiency.
SPIDER(从射频等离子体中提取氘核离子的生产源)是国际热核实验堆 NBI 源的全尺寸原型。它基于射频电流驱动和等离子体之间的感应耦合概念。目前对 SPIDER 中的静态射频场进行的三维(3D)电磁计算允许对其主要成分的功率耗散进行评估。以实验等离子体参数为输入,我们集中研究了有静态磁滤波器场和无静态磁滤波器场放电时源的铜制法拉第屏蔽侧壁(FSLW)中的功率耗散。与我们之前的研究结果以及与法拉第屏蔽侧壁冷却回路的热量计数据的首次比较结果一致,在所研究的等离子体参数下,法拉第屏蔽侧壁圆柱体单独吸收了约 50% 的可用功率。假设对传输限制进行改进,可能会显著提高效率。
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引用次数: 0
Wideband Glide-Symmetric Double-Corrugated Gap-Waveguide Traveling-Wave Tube for Millimeter Waves 用于毫米波的宽带滑动对称双波纹间隙波导行波管
Pub Date : 2024-09-08 DOI: arxiv-2409.05238
Miguel Saavedra-Melo, Nelson Castro, Robert Marosi, Eva Rajo-Iglesias, Filippo Capolino
We explore the use of glide symmetry (GS) and electromagnetic bandgap (EBG)technology in a glide-symmetric double corrugated gap waveguide (GSDC-GW) slowwave structure (SWS) for traveling wave tube (TWT) applications. Notably, thisGS structure provides the advantage of wide-band operation and the EBGeliminates the need for a conductive connection between the top and bottomwaveguide plates. The TWT performance is evaluated via particle-in-cellsimulations that reveal a 3-dB bandwidth of approximately 12 GHz spanning from54.5 GHz to 66.3 GHz, accompanied by a maximum gain of 23 dB. Because of GS,the backward wave in the first spatial harmonic is not longitudinallypolarized, leading to a low risk of backward wave oscillations in the TWT. Thiswork places the GSDC-EBG structure within the arena of potential SWS topologiesfor TWTs operating under similar conditions.
我们探索了滑行对称(GS)和电磁带隙(EBG)技术在用于行波管(TWT)的滑行对称双波纹间隙波导(GSDC-GW)慢波结构(SWS)中的应用。值得注意的是,GS 结构具有宽带工作的优势,而且 EBGel 消除了上下波导板之间导电连接的需要。通过微粒入胞模拟对 TWT 性能进行了评估,结果显示其 3 分贝带宽约为 12 GHz,频率范围从 54.5 GHz 到 66.3 GHz,最大增益为 23 dB。由于 GS 的存在,第一次空间谐波中的后向波没有纵向极化,从而降低了 TWT 中后向波振荡的风险。这项工作使 GSDC-EBG 结构成为在类似条件下工作的 TWT 的潜在 SWS 拓扑结构。
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引用次数: 0
期刊
arXiv - PHYS - Plasma Physics
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