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On the upper limit of laser intensity attainable in nonideal vacuum 非理想真空中可达到的激光强度上限
Pub Date : 2020-11-30 DOI: 10.1364/PRJ.416555
Yitong Wu, L. Ji, Ruxin Li
The upper limit of the laser field strength in perfect vacuum is usually considered as the Schwinger field, corresponding to ~10^29W/cm^2. We investigate such limitations under realistic non-ideal vacuum conditions and find out that intensity suppression appears starting from 10^25W/cm^2, showing an upper threshold at 1026W/cm^2 level if the residual electron density in chamber surpasses 109cm^-^3. This is because the presence of residual electrons triggers the avalanche of quantum-electrodynamics cascade that creates copious electron and positron pairs. The leptons are further trapped within the driving laser field due to radiation-reaction, which significantly depletes the laser energy. The relationship between the attainable intensity and the vacuity is given according to particle-in-cell simulations and theoretical analysis. These results answer a critical problem on the achievable light intensity based on present vacuum conditions and provide a guideline for future 100's-Petawatt class laser development.
理想真空中激光场强的上限通常被认为是Schwinger场,对应于~10^29W/cm^2。我们在实际的非理想真空条件下研究了这种限制,发现从10^25W/cm^2开始出现强度抑制,当腔内剩余电子密度超过109cm^-^3时,出现1026W/cm^2的上限阈值。这是因为残余电子的存在引发了量子电动力学级联的雪崩,产生了大量的电子和正电子对。由于辐射反应,轻子进一步被困在驱动激光场中,这极大地消耗了激光能量。通过粒子池模拟和理论分析,给出了可达强度与真空度的关系。这些结果回答了当前真空条件下可实现光强的关键问题,并为未来100 - petawatt级激光器的发展提供了指导。
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引用次数: 3
Resonant electron–plasmon interactions in drifting electron gas 飘移电子气体中共振电子-等离子体相互作用
Pub Date : 2020-11-30 DOI: 10.1063/5.0039067
M. Akbari-Moghanjoughi
In this paper we investigate the resonant electron-plasmon interactions in a drifting electron gas of arbitrary degeneracy. The kinetic corrected quantum hydrodyanmic model is transformed into the effective Schr"{o}dinger-Poisson model and driven coupled pseudoforce system is obtained via the separation of variables from the appropriately linearized system. It is remarked that in the low phase-speed kinetic regime the characteristic particle-like plasmon branch is profoundly affected by this correction which is a function of the electron number density and temperature. We also present an alternative explanation of the quantum wave-particle duality as a direct consequence of resonant electron-plasmon interaction (electron murmuration). In this picture drifting electrons are resonantly scattered by spatial electrostatic energy distribution, characterizing them by the de Broglie's oscillations. The phase-shift and amplitude of excitations in damped driven pseudoforce system is derived and their variations in terms of normalized chemical potential and electron temperature is studied. In particular we investigate the kinetic correction effect on energy dispersion relation in the electron gas in detail. It is revealed that only the low phase-speed branch of the dispersion curve is significantly affected by the kinetic correction. It is also found that increase in the electron number density leads to increase in effective mass and consequently decrease in electron mobility while the increase in the electron temperature has the converse effect. The kinetic correction also significantly lowers the plasmon conduction band. Current model may be further elaborated to investigate the beam-plasmon interaction and energy exchange in multispecies quantum plasmas.
本文研究了任意简并的漂移电子气体中共振电子-等离子体相互作用。将动力学修正后的量子流体力学模型转化为有效的Schr {o}dinger-Poisson模型,并从适当线性化的系统中分离变量,得到驱动耦合伪力系统。注意到在低相速动力学体系中,这一修正是电子数密度和温度的函数,对特征类粒子等离子体分支有深刻的影响。我们还提出了另一种解释,量子波粒二象性是共振电子-等离子体相互作用(电子杂音)的直接结果。在这幅图中,漂移的电子通过空间静电能量分布共振散射,用德布罗意振荡来表征它们。推导了阻尼驱动伪力系统中激励的相移和振幅,并研究了它们随归一化化学势和电子温度的变化规律。我们特别详细地研究了电子气体中动能修正对能量色散关系的影响。结果表明,只有色散曲线的低相速分支受到动力学修正的显著影响。电子数密度的增加导致有效质量的增加,从而导致电子迁移率的降低,而电子温度的升高则有相反的作用。动力学修正也显著降低了等离子体传导带。该模型可以进一步研究多种量子等离子体中束-等离子体相互作用和能量交换。
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引用次数: 4
Inflationary stimulated Raman scattering in shock-ignition plasmas 激波点火等离子体中膨胀激发的拉曼散射
Pub Date : 2020-11-24 DOI: 10.1063/5.0022901
S. Spencer, A. Seaton, T. Goffrey, T. Arber
In the shock-ignition inertial confinement fusion scheme, high-intensity lasers propagate through an inhomogeneous coronal plasma, driving a shock designed to cause fuel ignition. During the high-intensity ignitor laser pulse, SRS backscatter in the long scale-length coronal plasma is likely to be in the kinetic regime. In this work, we use one-dimensional particle-in-cell simulations to show that there is a non-linear frequency shift caused by kinetic effects, resulting in the growth of Stimulated Raman Scattering (SRS) in an inhomogeneous plasma far exceeding the predictions of the fluid theory, so-called inflationary SRS or iSRS. We find that iSRS occurs over a wide range of density scale-lengths relevant to shock-ignition and other directly-driven inertial confinement fusion schemes. The presence of iSRS in shock-ignition plasmas has implications for the theoretical gains from shock-ignition inertial confinement fusion. Here we quantify the intensity threshold for the onset of iSRS for shock-ignition relevant parameters.
在激波点火惯性约束聚变方案中,高强度激光通过不均匀的日冕等离子体传播,驱动旨在引起燃料点火的激波。在高强度点火器激光脉冲作用下,SRS在长尺度长度日冕等离子体中的后向散射很可能处于动力学状态。在这项工作中,我们使用一维粒子在细胞中的模拟来表明,由于动力学效应引起的非线性频移,导致非均匀等离子体中受激拉曼散射(SRS)的增长远远超过了流体理论的预测,即所谓的暴胀SRS或iSRS。我们发现iSRS发生在与激波点火和其他直接驱动惯性约束聚变方案相关的密度尺度长度范围内。激波点火等离子体中iSRS的存在对激波点火惯性约束聚变的理论增益具有重要意义。在这里,我们量化了冲击点火相关参数的iSRS发作的强度阈值。
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引用次数: 6
Diffusion regime of electron–electron collisions in weakly ionized plasmas 弱电离等离子体中电子-电子碰撞的扩散机制
Pub Date : 2020-11-23 DOI: 10.1063/5.0038623
B. Breizman, G. Stupakov, G. Vekstein
We consider weakly ionized plasma where frequent elastic scattering of electrons on neutrals change the individual acts and the rate of electron-electron collisions significantly. In this case, the kinetics of electron thermalization is very different from that in fully ionized plasma. The colliding electrons diffuse because of fast scattering on neutrals. We demonstrate how a proper account of this diffusion enables one to estimate the characteristic time of electron thermalization. We also present a rigorous derivation of the kinetic equation for electrons by using Bogolyubov method based on Liouville equations for multi-particle distribution functions.
我们考虑弱电离等离子体,其中频繁的电子对中性的弹性散射显著地改变了个体行为和电子-电子碰撞的速率。在这种情况下,电子热化动力学与完全电离等离子体的动力学非常不同。碰撞的电子由于在中性粒子上的快速散射而扩散。我们演示了如何正确地解释这种扩散,使人们能够估计电子热化的特征时间。我们还在多粒子分布函数的Liouville方程的基础上,用Bogolyubov方法推导了电子的动力学方程。
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引用次数: 2
Guiding center and gyrokinetic orbit theory for large electric field gradients and strong shear flows 大电场梯度和强剪切流的导向中心和陀螺动力学轨道理论
Pub Date : 2020-11-17 DOI: 10.1063/5.0037889
I. Joseph
The guiding center and gyrokinetic theory of magnetized particle motion is extended to the regime of large electric field gradients perpendicular to the magnetic field. A gradient in the electric field directly modifies the oscillation frequency and causes the Larmor orbits to deform from circular to elliptical trajectories. In order to retain a good adiabatic invariant, there can only be strong dependence on a single coordinate at lowest order, so that resonances do not generate chaotic motion that destroys the invariant. When the gradient across magnetic flux surfaces is dominant, the guiding center drift velocity becomes anisotropic in response to external forces and additional curvature drifts must be included. The electric polarization density remains gyrotropic, but both the polarization and magnetization are modified by the change in gyrofrequency. The theory can be applied to strong shear flows, such as are commonly observed in the edge transport barrier of a high-performance tokamak (H-mode) pedestal, even if the toroidal/guide field is small. Yet, the theory retains a mathematical form that is similar to the standard case and can readily be implemented within existing simulation tools.
将磁化粒子运动的导向中心和陀螺动力学理论推广到与磁场垂直的大电场梯度领域。电场中的梯度直接改变了振荡频率,导致拉莫尔轨道由圆形轨迹变形为椭圆轨迹。为了保持良好的绝热不变量,只能在最低阶上对单个坐标有很强的依赖性,这样共振就不会产生破坏不变量的混沌运动。当磁通面梯度占主导地位时,导向中心漂移速度对外力的响应成为各向异性,必须包含附加曲率漂移。电极化密度保持回转性,但极化强度和磁化强度随回转率的变化而变化。该理论可以应用于强剪切流,例如在高性能托卡马克(h模)基座的边缘传输障壁中常见的剪切流,即使环面/导向场很小。然而,该理论保留了与标准情况类似的数学形式,可以很容易地在现有的仿真工具中实现。
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引用次数: 4
A two-fluid analysis of waves in a warm ion–electron plasma 热离子-电子等离子体中波的双流体分析
Pub Date : 2020-11-12 DOI: 10.1063/5.0029534
Jordi De Jonghe, Rony Keppens
Following recent work, we discuss waves in a warm ideal two-fluid plasma consisting of electrons and ions starting from a completely general, ideal two-fluid dispersion relation. The plasma is characterised by five variables: the electron and ion magnetisations, the squared electron and ion sound speeds, and a parameter describing the angle between the propagation vector and the magnetic field. The dispersion relation describes 6 pairs of waves which we label S, A, F, M, O, and X. Varying the angle, it is argued that parallel and perpendicular propagation (with respect to the magnetic field) exhibit unique behaviour. This behaviour is characterised by the crossing of wave modes which is prohibited at oblique angles. We identify up to 6 different parameter regimes where a varying number of exact mode crossings in the special parallel or perpendicular orientations can occur. We point out how any ion-electron plasma has a critical magnetisation (or electron cyclotron frequency) at which the cutoff ordering changes, leading to different crossing behaviour. These are relevant for exotic plasma conditions found in pulsar and magnetar environments. Our discussion is fully consistent with ideal relativistic MHD and contains light waves. Additionally, exploiting the general nature of the dispersion relation, phase and group speed diagrams can be computed at arbitrary wavelengths for any parameter regime. Finally, we recover earlier approximate dispersion relations that focus on low-frequency limits and make direct correspondences with some selected kinetic theory results.
根据最近的工作,我们从完全一般的理想双流体色散关系出发,讨论了由电子和离子组成的热理想双流体等离子体中的波。等离子体的特征有五个变量:电子和离子磁化,电子和离子声速的平方,以及描述传播矢量与磁场之间夹角的参数。色散关系描述了我们标记为S, A, F, M, O和x的6对波。改变角度,认为平行和垂直传播(相对于磁场)表现出独特的行为。这种行为的特点是波浪模式的交叉,这在斜角处是禁止的。我们确定了多达6种不同的参数制度,其中不同数量的精确模式交叉在特殊的平行或垂直方向可以发生。我们指出,任何离子-电子等离子体都有一个临界磁化(或电子回旋频率),在这个磁化强度下,截止顺序会发生变化,从而导致不同的交叉行为。这与在脉冲星和磁星环境中发现的奇异等离子体条件有关。我们的讨论完全符合理想相对论MHD,并且包含光波。此外,利用色散关系的一般性质,相位和群速度图可以在任意波长下计算任何参数范围。最后,我们恢复了早期关注低频极限的近似色散关系,并与一些选定的动力学理论结果直接对应。
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引用次数: 9
Stationary states of polytropic plasmas 多向等离子体的稳态
Pub Date : 2020-11-11 DOI: 10.1063/5.0024222
R. Guo
In this paper, we prove that the kappa distribution is the stationary solution of the Vlasov-Poisson system in an inhomogeneous plasma under the polytropic equation of state and an assumption restricting the local velocity distribution to a specific mathematical form. The profiles of density, temperature, and electric potential are obtained theoretically. The kappa index can be determined if the initial state is known. In order to verify the theory, particle-in-cell simulations are made and the results show excellent agreement with the theoretical predictions for density, temperature, and velocity distributions of electrons. It is shown that the electron velocity distribution of spatially inhomogeneous plasma evolves from an initial Maxwellian to the final kappa distribution. It is also found that the value of kappa index in the final stationary state depends on the initial state of plasma.
本文证明了在多元状态方程下,kappa分布是非均匀等离子体中Vlasov-Poisson系统的平稳解,并证明了将局部速度分布限定为特定数学形式的假设。从理论上得到了密度、温度和电势的分布。如果初始状态已知,则可以确定kappa指数。为了验证这一理论,进行了粒子在电池中的模拟,结果与理论预测的密度、温度和电子速度分布非常吻合。结果表明,空间非均匀等离子体的电子速度分布由初始的麦克斯韦分布演变为最终的卡帕分布。研究还发现,最终稳定状态下的kappa指数取决于等离子体的初始状态。
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引用次数: 3
ITER cold VDEs in the limit of perfectly conducting walls ITER在完全导电壁的极限下冷却vde
Pub Date : 2020-11-11 DOI: 10.1063/5.0037464
C. Clauser, S. Jardin
Recently, it has been shown that a vertical displacement event (VDE) can occur in ITER even when the walls are perfect conductors, as a consequence of the current quench [A. H. Boozer, Physics of Plasmas 26 114501 (2019)]. We used the extended-MHD code M3D-C1 with an ITER-like equilibrium and induced a current quench to explore cold VDEs in the limit of perfectly conducting walls, using different wall geometries. In the particular case of a rectangular wall with the side walls far away from the plasma, we obtained very good agreement with the analytical model developed by Boozer that considers a top/bottom flat-plates wall. We show that the solution in which the plasma stays at the initial equilibrium position is improved when bringing the side walls closer to the plasma. When using the ITER first wall in the limit of a perfect conductor, the plasma stays stable at the initial equilibrium position far beyond the value predicted by the flat-plates wall limit. On the other hand, when considering the limit in which the inner shell of the ITER vacuum vessel is acting as a perfect conductor, the plasma is displaced during the current quench but the edge safety factor stays above $2$ longer in the current decay compared to the flat-plates wall limit. In all the simulated cases, the vertical displacement is found to be strongly dependent on the plasma current, in agreement with a similar finding in the flat-plates wall limit, showing an important difference with usual VDEs in which the current quench is not a necessary condition.
最近,研究表明,由于电流猝灭,即使壁面是完美导体,在ITER中也可能发生垂直位移事件(VDE)。刘建军,刘建军。等离子体物理研究[j]。我们使用扩展的mhd代码M3D-C1,具有类似iter的平衡,并诱导电流淬火,以探索在完美导电壁极限下的冷vde,使用不同的壁几何形状。在侧壁远离等离子体的矩形壁的特殊情况下,我们得到了与Boozer考虑顶/底平板壁的分析模型非常吻合的结果。我们表明,当使侧壁更接近等离子体时,等离子体停留在初始平衡位置的溶液得到改善。当在完美导体极限下使用ITER第一壁时,等离子体在初始平衡位置保持稳定,远远超出平板壁极限所预测的值。另一方面,当考虑到ITER真空容器的内壳作为完美导体的极限时,等离子体在电流淬火期间发生位移,但与平板壁极限相比,边缘安全系数在电流衰减中保持在2美元以上的时间更长。在所有模拟情况下,发现垂直位移强烈依赖于等离子体电流,与平板壁面极限的类似发现一致,显示出与通常的vde的重要区别,其中电流淬火不是必要条件。
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引用次数: 4
Turbulent transport of fast ions in tokamak plasmas in the presence of resonant magnetic perturbations 共振磁扰动下托卡马克等离子体中快离子的湍流输运
Pub Date : 2020-11-04 DOI: 10.1063/5.0035541
D. Palade
The effects of resonant magnetic perturbations on the turbulent transport of fast ions in tokamak devices are investigated using a theoretical transport model of test-particle type. The direct numerical simulation method is used to compute, via the transport model, the diffusion coefficients. The numerical results are in good agreement with other, analytically derived, estimations. It is found that finite Larmor radius effects decrease algebraically the transport, while the amplitude of magnetic perturbations has an opposite effect. In the presence of stochastic dynamics, the asymmetric toroidal magnetic field induces a small, radial, outward pinch. A synergistic mechanism of non-linear coupling between turbulence and magnetic perturbations enhances the radial diffusion. General scaling laws are proposed for the transport coefficients.
利用测试粒子型输运理论模型研究了共振磁扰动对托卡马克装置中快离子湍流输运的影响。采用直接数值模拟的方法,通过输运模型计算扩散系数。数值计算结果与其他解析推导的估计结果很好地吻合。研究发现,有限拉莫尔半径效应在代数上降低了输运,而磁扰动幅值则有相反的作用。在随机动力学的存在下,不对称的环形磁场诱导出一个小的、径向的、向外的捏缩。湍流和磁扰动之间非线性耦合的协同机制增强了径向扩散。提出了输运系数的一般标度规律。
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引用次数: 3
Electron Acceleration during Macroscale Non-Relativistic Magnetic Reconnection 宏观尺度非相对论性磁重联中的电子加速
Pub Date : 2020-11-02 DOI: 10.13016/ZC8D-FUMF
H. Arnold, J. Drake, M. Swisdak, F. Guo, J. Dahlin, Bin Chen, G. Fleishman, L. Glesener, E. Kontar, T. Phan, Chengcai Shen
The first self-consistent simulations of electron acceleration during magnetic reconnection in a macroscale system are presented. Consistent with solar flare observations the spectra of energetic electrons take the form of power-laws that extend more than two decades in energy. The drive mechanism for these nonthermal electrons is Fermi reflection in growing and merging magnetic flux ropes. A strong guide field is found to suppress the production of nonthermal electrons by weakening the Fermi drive mechanism. For a weak guide field the total energy content of nonthermal electrons dominates that of the hot thermal electrons even though their number density remains small. Our results are benchmarked with the hard x-ray, radio and extreme ultra-violet (EUV) observations of the X8.2-class solar flare on September 10, 2017.
本文首次对宏观系统中磁重联过程中的电子加速度进行了自洽模拟。与太阳耀斑的观测结果一致,高能电子的光谱呈现幂律的形式,其能量延长了20多年。这些非热电子的驱动机制是生长和合并磁链中的费米反射。发现强引导场通过削弱费米驱动机制来抑制非热电子的产生。在弱导场中,非热电子的总能量含量高于热热电子,尽管它们的数量密度仍然很小。我们的研究结果以2017年9月10日x8.2级太阳耀斑的硬x射线、射电和极紫外线(EUV)观测结果为基准。
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引用次数: 1
期刊
arXiv: Plasma Physics
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