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Accurate analytical evaluation of the generalized logarithmic and double Fermi–Dirac and Bose–Einstein functions 广义对数函数和双费米-狄拉克函数以及玻色-爱因斯坦函数的精确分析评估
IF 1.3 4区 物理与天体物理 Q3 PHYSICS, FLUIDS & PLASMAS Pub Date : 2024-06-03 DOI: 10.1002/ctpp.202400051
Bahtiyar A. Mamedov, Duru Özgül

The accurate definition and powerful evaluation modeling of the various generalized Fermi–Dirac and Bose–Einstein functions remain a challenging problem in various areas of physics. In this study, we develop a general analytical technique for accurately calculating logarithmic and double Fermi–Dirac and Bose–Einstein functions. The obtaining analytical formulae are established by considering the binomial expansion theorem. The obtained expressions are valid in chemical potential values between -∞ <μ <0 and have been designated as explicit form features, high precision, and less computing time. The calculation results are tabularly illustrated to show the consistency of the analytical relations analysis under the effect of parameters. Based on a comprehensive analysis of the results, they are potentially useful in applications to evaluate thermionic emission and astrophysics problems.

各种广义费米-狄拉克函数和玻色-爱因斯坦函数的精确定义和强大的评估建模仍然是物理学各个领域的一个挑战性问题。在本研究中,我们开发了一种通用分析技术,用于精确计算对数和双费米-狄拉克函数和玻色-爱因斯坦函数。通过考虑二项式展开定理,我们建立了分析公式。所得到的表达式在化学势值介于-∞ <μ <0之间时有效,具有形式明确、精度高、计算时间短等特点。计算结果以表格形式展示了参数影响下分析关系分析的一致性。在对结果进行综合分析的基础上,它们在评估热电子发射和天体物理学问题的应用中具有潜在的实用价值。
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引用次数: 0
Role of ultrashort trapezoidal temporal pulse profile in laser wakefield acceleration in bubble regime 超短梯形时脉剖面在气泡模式激光汪场加速中的作用
IF 1.3 4区 物理与天体物理 Q3 PHYSICS, FLUIDS & PLASMAS Pub Date : 2024-05-30 DOI: 10.1002/ctpp.202300181
Sonu Kumar, Dhananjay K. Singh, Hitendra K. Malik

A computational study is presented on laser wakefield acceleration (LWFA) in bubble regime with the use of ultrashort laser pulse propagating in an under-dense plasma. The Particle-In-Cell simulations are performed to investigate the bubble wakefield acceleration of electrons realized by the incidence of an intense laser beam on cold, under-dense plasma in two-dimensional geometry. Different simulations are carried out and the results are compared for the beams with trapezoidal and Gaussian temporal pulse profiles having almost equal but slightly different energy contents. Focus is given to plasma density modulation, wakefield strength, electrons self-injection, energy spectrum of accelerated electrons, the effect of an external longitudinal magnetic field and the study of pump depletion length and dephasing length in bubble regime with respect to these laser pulse profiles. Two limiting cases of the trapezoidal pulse, that is, triangular and rectangular pulses, are also discussed for better understanding of the role of steepness and plateau region in the laser pulse profile to the bubble wakefield acceleration. Since down ramp density gradient plays a crucial role for the generation of high-quality electron beam in plasma wakefield acceleration as well as in LWFA, three different adjustments on the down ramp length determining three different density gradients are discussed for uncovering the role of trapezoidal laser pulse in LWFA.

本文介绍了利用在低密度等离子体中传播的超短激光脉冲在气泡状态下进行激光唤醒加速(LWFA)的计算研究。通过粒子池内模拟,研究了在二维几何结构中,强激光束入射到冷的、欠致密等离子体中实现的电子气泡唤醒场加速。对能量含量几乎相等但略有不同的梯形和高斯时间脉冲轮廓光束进行了不同的模拟,并对结果进行了比较。重点是等离子体密度调制、汪场强度、电子自喷、加速电子的能谱、外部纵向磁场的影响以及与这些激光脉冲剖面相关的泵浦耗尽长度和气泡状态下的去相干长度的研究。还讨论了梯形脉冲的两种极限情况,即三角形和矩形脉冲,以便更好地理解激光脉冲剖面中的陡度和高原区对气泡汪场加速的作用。由于下斜坡密度梯度对等离子体汪场加速和 LWFA 中高质量电子束的产生起着至关重要的作用,因此讨论了下斜坡长度的三种不同调整方式,以确定三种不同的密度梯度,从而揭示梯形激光脉冲在 LWFA 中的作用。
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引用次数: 0
Study of the influence of magnetic shear on the linear MHD instabilities in the pedestal of elongated divertor configurations using CLT code 利用 CLT 代码研究磁剪切对细长分流器配置基座中线性 MHD 不稳定性的影响
IF 1.3 4区 物理与天体物理 Q3 PHYSICS, FLUIDS & PLASMAS Pub Date : 2024-05-23 DOI: 10.1002/ctpp.202300106
Yuchen Xu, Shifeng Mao, Wenjin Chen, Zhiwei Ma, Minyou Ye

Edge localized modes resulted from magnetohydrodynamic (MHD) instabilities in the pedestal region are a significant concern for future tokamaks. In this work, Ci-Liu-Ti (CLT), an MHD code in the three-dimensional toroidal geometry, is applied for the linear simulation of the ideal pedestal MHD instabilities. The simulations are performed for the experimental advanced superconducting tokamak-like elongated divertor configuration with large triangularity, which is generated by the high-accuracy free-boundary equilibrium solver (CLT-EQuilibrium, i.e., CLT-EQ) developed recently. The present work focuses on the influence of the magnetic shear, which is scanned by adjusting the pedestal current with a fixed pedestal pressure profile. As the pedestal current increases, both the local (Slocal) and global (Sglobal) magnetic shear decrease. The ballooning mode is destabilized along with the decrease of Slocal, and stabilized when Slocal is negative for the whole region of bad curvature, which implies the access of the second stable region. Further increase of the pedestal current leads to the destabilization of the kink mode, which is stabilized again until Sglobal is negative at the location of significant gradient of current density. The simulated results are consistent with the findings in Radovanovic et al. Nucl. Fusion 62 (2022) 086004 and C. K. Sun et al. Phys. Plasmas 25 (2018) 082106, which indicates the availability of CLT in the linear simulation of the ideal pedestal instabilities.

基座区域的磁流体动力学(MHD)不稳定性导致的边缘局部模式是未来托卡马克的一个重要问题。在这项工作中,Ci-Liu-Ti(CLT)-- 一种三维环形几何的 MHD 代码-- 被应用于理想基座 MHD 不稳定性的线性模拟。模拟是针对实验性先进超导托卡马克式大三角形细长分流器构型进行的,该构型由最近开发的高精度自由边界平衡求解器(CLT-EQuilibrium,即 CLT-EQ)生成。本研究的重点是磁剪切的影响,在基座压力曲线固定的情况下,通过调整基座电流来扫描磁剪切。随着基座电流的增加,局部(Slocal)和全局(Sglobal)磁切变都会减小。气球模式随着 Slocal 的减小而失稳,当整个曲率不良区域的 Slocal 为负值时,气球模式趋于稳定,这意味着进入了第二个稳定区域。基座电流的进一步增大导致扭结模式失稳,直到 Sglobal 在电流密度显著梯度位置为负值时,扭结模式才再次稳定下来。模拟结果与 Radovanovic 等人在 Nucl.Fusion 62 (2022) 086004 和 C. K. Sun et al. Phys. Plasmas 25 (2018) 082106 的研究结果一致,这表明 CLT 可用于理想基座不稳定性的线性模拟。
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引用次数: 0
Kinetic theory of weakly ionized plasma and electrolyte mixtures including Onsager matrix and frequency dispersion effects 弱电离等离子体和电解质混合物的动力学理论,包括昂萨格矩阵和频散效应
IF 1.3 4区 物理与天体物理 Q3 PHYSICS, FLUIDS & PLASMAS Pub Date : 2024-05-20 DOI: 10.1002/ctpp.202300161
W. Ebeling

We summarize the method of hydrodynamic approximation for weakly ionized plasmas developed with Klimontovich in 1962 and give a generalization to many—component systems using Onsagers matrix theory and including dispersion effects. We develop the conductivity theory of complex plasma and electrolyte mixtures based on the model of charged hard spheres with given non-additive contact distances, including frequency-dependent electric fields. These generalizations are made with the aim to allow applications to complex natural systems as atmospheric plasmas and seawater. Finally, we give as an example a numerical calculation of the single ion conductivities of a six-component seawater model.

我们总结了 1962 年与克里蒙托维奇共同开发的弱电离等离子体流体力学近似方法,并利用昂萨斯矩阵理论将其推广到多组分系统,其中包括弥散效应。我们基于给定非相加接触距离的带电硬球模型,发展了复杂等离子体和电解质混合物的电导理论,包括随频率变化的电场。这些概括旨在将其应用于复杂的自然系统,如大气等离子体和海水。最后,我们举例说明了六组分海水模型的单离子导电率数值计算。
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引用次数: 0
Issue Information: Contrib. Plasma Phys. 04/2024 发行信息:Contrib.等离子体物理 04/2024
IF 1.6 4区 物理与天体物理 Q3 PHYSICS, FLUIDS & PLASMAS Pub Date : 2024-05-16 DOI: 10.1002/ctpp.879
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引用次数: 0
Dynamics of electron capture in positron-hydrogen scattering under dense semi-classical plasmas 高密度半经典等离子体下正电子-氢散射中的电子俘获动力学
IF 1.3 4区 物理与天体物理 Q3 PHYSICS, FLUIDS & PLASMAS Pub Date : 2024-05-16 DOI: 10.1002/ctpp.202400012
Kamalika Das, Netai Das, Arijit Ghoshal

The scattering dynamics of electron capture in e+$$ {mathrm{e}}^{+} $$-H(1 s) scattering under dense semi-classical plasma (DSCP) environments has been investigated theoretically. Coupled multi-channel two-body Lippmann-Schwinger equations have been solved by retaining e+$$ {mathrm{e}}^{+} $$+H(1 s) and p + Ps(1 s) channels to calculate the cross sections (CS) of the electron capture process at intermediate and high incident energies. The effective interaction of the plasma charged particles is modelled by a pseudopotential which is a function of two parameters, namely the plasma screening strength and the de Broglie wavelength. A detailed study is made to explore the changes in the CSs of the above-mentioned process with respect to the variation in the plasma screening strength and de Broglie wavelength. Significant changes are found to take place, when the screening strength and the de Broglie wavelength are varied. Specifically, the sharp minimum in the differential CS moves toward the forward direction with increasing de Broglie wavelength at a given screening strength.

我们从理论上研究了致密半经典等离子体(DSCP)环境下-H(1 s)散射中电子俘获的散射动力学。通过保留+H(1 s)和p+Ps(1 s)通道,求解了多通道双体李普曼-施温格耦合方程,计算了中高入射能量下电子俘获过程的截面(CS)。等离子体带电粒子的有效相互作用是通过伪势来模拟的,而伪势是等离子体屏蔽强度和德布罗意波长这两个参数的函数。详细研究探讨了上述过程中 CSs 随等离子体屏蔽强度和 de Broglie 波长变化而发生的变化。研究发现,当屏蔽强度和德布罗意波长发生变化时,CS 会发生显著变化。具体来说,在给定的屏蔽强度下,随着德布罗意波长的增加,差分 CS 的急剧最小值向正向移动。
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引用次数: 0
Plasma emission spectroscopy diagnosis of a direct current reverse-brush electrode discharge 直流反向刷电极放电的等离子体发射光谱诊断
IF 1.3 4区 物理与天体物理 Q3 PHYSICS, FLUIDS & PLASMAS Pub Date : 2024-05-16 DOI: 10.1002/ctpp.202400032
Xingbao Lyu, Zhiyong Li, Yiqun Ma, Ying Wang, Chengxun Yuan, Anatoly Kudryavtsev, Zhongxiang Zhou

In this work, emission spectra measurements from direct current (DC) reverse-brush discharge plasmas were used to elucidate the energy level transition processes corresponding to each spectral line based on the mechanism of emission spectrum generation. The axial distribution patterns of the spectral line intensity and the electron excitation temperature in the electrode gap and post-cathode space were systematically investigated. By comparing the acquired experimental results, it was observed that both the relative intensity of the plasma emission spectra and the electron excitation temperature in the electrode gap were higher than in the post-cathode space, while their axial distribution trends exhibited an initial increase followed by a decrease. Additionally, the impact of the discharge gas pressure, reverse-brush electrode thickness, and the number of electrode openings on the emission spectral line intensity and electron excitation temperature in the electrode gap were explored. Explanations for the underlying physical mechanisms were also provided.

本研究利用直流反刷放电等离子体的发射光谱测量结果,根据发射光谱的产生机理,阐明了每条谱线对应的能级转换过程。系统研究了光谱线强度和电子激发温度在电极间隙和阴极后空间的轴向分布模式。通过比较所获得的实验结果发现,等离子体发射光谱的相对强度和电子激发温度在电极间隙中都高于阴极后空间,而它们的轴向分布趋势则呈现出先上升后下降的特点。此外,还探讨了放电气体压力、反向刷电极厚度和电极开口数量对电极间隙中发射谱线强度和电子激发温度的影响。此外,还对基本物理机制进行了解释。
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引用次数: 0
Cover Picture: Contrib. Plasma Phys. 04/2024 封面图片:Contrib.Plasma Phys.
IF 1.6 4区 物理与天体物理 Q3 PHYSICS, FLUIDS & PLASMAS Pub Date : 2024-05-16 DOI: 10.1002/ctpp.880

(a) Electron current density, z-component; (b) Electric field intensity (V/m); filament line: electron flow. Fig.6 of the paper by Yiqun Ma et al. https://doi.org/10.1002/ctpp.202300169

(a) 电子电流密度,z 分量;(b) 电场强度(V/m);灯丝线:电子流。马依群等人的论文图 6 https://doi.org/10.1002/ctpp.202300169
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引用次数: 0
First SOLPS-ITER simulations of ASDEX Upgrade partially detached H-mode with boron impurity: The missing radiation at the outer strike-point region 首次 SOLPS-ITER 模拟 ASDEX 升级部分脱离 H 模式的硼杂质:外击点区域缺失的辐射
IF 1.3 4区 物理与天体物理 Q3 PHYSICS, FLUIDS & PLASMAS Pub Date : 2024-05-15 DOI: 10.1002/ctpp.202300139
S. O. Makarov, D. P. Coster, T. Gleiter, D. Brida, M. Muraca, R. Dux, P. David, B. Kurzan, X. Bonnin, M. O'Mullane, ASDEX Upgrade Team

Partially detached H-modes are the baseline regime for the future ITER operation. The ASDEX Upgrade partially detached H-mode is modeled using the SOLPS-ITER code with drifts enabled and compared with experimental data. For the first time, boron (B) impurity is simulated in the Scrape-off layer (SOL) and divertor. A comparison between divertor diagnostics and discrepancies between Langmuir probe and Divertor Thomson scattering/Stark broadening diagnostic are discussed. In the modeling, experimental target profiles are reproduced if the experimental level of radiation in the SOL and divertor is achieved using nitrogen (N) impurity seeding. Bolometry measurements detect substantial radiation from the partially detached outer strike point. With B radiation, this maximum in bolometry data is reproduced in the modeling, which is not possible with N alone.

部分分离 H 模式是未来热核实验堆运行的基线机制。使用 SOLPS-ITER 代码对 ASDEX 升级版部分分离 H 模式进行了建模,并将其与实验数据进行了比较。首次模拟了刮除层(SOL)和岔流器中的硼(B)杂质。讨论了分流器诊断之间的比较以及朗缪尔探针和分流器汤姆逊散射/斯塔克展宽诊断之间的差异。在建模过程中,如果使用氮(N)杂质播种来实现 SOL 和掺杂器中的实验辐射水平,则可以再现实验目标轮廓。测辐射测量检测到来自部分分离的外撞击点的大量辐射。利用 B 辐射,可以在建模中再现螺栓测量数据中的这一最大值,而仅利用 N 则无法实现这一点。
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引用次数: 0
Numerical validation of Yukawa fluid excitations within the quasilocalized charge approximation (QLCA) theory 准聚焦电荷近似(QLCA)理论中汤川流体激波的数值验证
IF 1.3 4区 物理与天体物理 Q3 PHYSICS, FLUIDS & PLASMAS Pub Date : 2024-04-30 DOI: 10.1002/ctpp.202400026
Prince Kumar, Devendra Sharma

A first principle molecular dynamics (MD) simulation study on the nonlinear excitations in a quasi-localized state of a Yukawa system is presented to validate the findings of the nonlinear quasi-localized charge approximation (QLCA) model. Unlike solids or gases, quasi-localized states lack certain simplifying features, such as the ability to assume a fixed shape or volume, and they combine large displacements with strong interactions, further complicating the theoretical underpinnings of their behavior. In a recent paper [P. Kumar and D. Sharma, Physics of Plasmas 30 (2023)], the nonlinear QLCA model was applied to characterize the nonlinear excitations in a quasi-localized state of a Yukawa system, as existing continuum models have shown limited success in this regime. The simulation data presented with the screening and coupling parameters show a close agreement with the QLCA model findings. The MD simulations validate the prediction made by the QLCA model that the properties of a soliton remain unaffected by variations in the coupling parameter. The prediction made by QLCA regarding the formation of multiple solitons at higher screening parameter values has also been confirmed by the MD simulation data. The possibility of the formation of rarefactive solitons at relatively high screening parameter values within the QLCA model is also discussed.

本文介绍了对汤川系统准局域态非线性激发的第一原理分子动力学(MD)模拟研究,以验证非线性准局域电荷近似(QLCA)模型的发现。与固体或气体不同,准局域态缺乏某些简化特征,例如无法假设固定的形状或体积,而且它们结合了大位移和强相互作用,使其行为的理论基础更加复杂。在最近的一篇论文[P. Kumar 和 D. Sharma,Physics of Plasmas 30 (2023)]中,非线性 QLCA 模型被应用于描述汤川系统准局域态的非线性激发,因为现有的连续模型在这一机制中显示出有限的成功。根据筛选和耦合参数得出的模拟数据显示,与 QLCA 模型的结论非常吻合。MD 模拟验证了 QLCA 模型的预测,即孤子的特性不受耦合参数变化的影响。MD 模拟数据还证实了 QLCA 预测的在较高筛选参数值下会形成多个孤子的情况。此外,还讨论了在 QLCA 模型中相对较高的屏蔽参数值下形成稀疏孤子的可能性。
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引用次数: 0
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Contributions to Plasma Physics
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