等离子体屏蔽效应对类氢离子能级结构和辐射跃迁性质的影响

在Debye-Hückel屏蔽近似下,基于相对论Dirac-Fock方法,发展了包括等离子体屏蔽效应的自洽场计算程序.使用该程序研究了等离子体屏蔽效应对类氢离子能级结构和辐射跃迁性质的影响.结果表明,当原子处于等离子体环境中,所有束缚态能级向连续态移动, 移动量随着屏蔽长度的减小而增大.振子强度随屏蔽长度的变化也表现出了相同的规律.进一步分析了相对论效应和等离子体屏蔽效应的耦合,发现对于中Z元素,相对论效应和等离子体屏蔽效应存在较强的耦合.讨论了等离子体屏蔽效应对原子精细结构能级的影响.计算发现,由于等离子体屏蔽效应,原子的能级次序发生了变化,κ简并被消除. 关键词： 等离子体屏蔽 Debye-Hückel 模型 能级结构 跃迁概率     

等离子体效应对碳的类氢离子能级的影响

通过在狄拉克方程中考虑德拜休克尔(Debye-Hückel)屏蔽势,研究了类氢离子C5 低能级能量1s(2S1/2),2s(2S1/2),2p(2P1/2和2P3/2)随等离子体电子温度及电子密度的变化规律,计算得到类氢离子C5 能级能量及能级电离势随等离子体环境的变化关系。同时,拟合得到了基于德拜休克尔屏蔽势下相当好的束缚态能级能量随等离子体环境变化的解析公式,利用该公式得到了类氢离子C5 相应各能级发生压致电离的临界电子密度,其结果与其它文献比有很好的可比性。结果表明:束缚态能级能量随等离子体电子温度的升高而减小,随等离子体电子密度的增大而增大。能级能量百分漂移量的对数值与等离子体电子密度的对数值以及等离子体电子温度的对数值之间均呈现出近似线性关系。对计算等离子体电离态分布及光谱模拟具有一定的意义。     

等离子体中电子弹性散射截面及电导率计算

本文研究了近理想等离子体中的电子弹性散射过程.利用Debye-Hückel模型考虑等离子体环境对电子与离子间相互作用的屏蔽效应.结合分波法计算了不同Debye长度情况下,电子与不同核电荷数离子散射的分波相移和微分散射截面.研究了散射波函数、分波相移和微分截面随等离子体屏蔽参数的变化规律.最后,基于Spitzer公式, 初步讨论了分波法计算的等离子体的电导率与卢瑟福公式计算的电导率之间的区别.     

等离子体屏蔽对He2+与H原子碰撞电离微分截面的影响

应用经典径迹Monte Carlo（CTMC）方法研究了He²⁺与H原子在等离子体环境下的碰撞电离过程,计算了在5—400 keV/u的能区随等离子体屏蔽作用变化的碰撞电离总截面和一阶微分截面.等离子体中带电粒子之间的相互作用采用Debye-Hückel模型来描述.由于等离子体屏蔽效应的存在,靶中束缚态电子能级及其经典微正则分布以及入射离子与靶电子的相互作用都发生了变化,而这些变化会直接影响碰撞电离过程.研究发现,碰撞电离总截面随等离子屏蔽的增加而增大,特别是在10 keV/u以下的低能区电离截面有量级的增加.对随能量变化的一阶微分截面,在低能碰撞过程中,屏蔽作用增加,微分截面呈量级增加,高能碰撞微分截面呈倍数增加.同时,屏蔽作用导致电离电子向高能方向移动,随着碰撞能量的增加两体碰撞机制的贡献越来越大,并在较高的出射电子能量出现了一个新的峰.对无屏蔽的自由原子碰撞过程,CTMC方法计算出的电离总截面在碰撞能量大于70 keV/u的较高能区在实验误差内与实验测量结果符合很好,而在较低的能区比实验值小30%—50%. 关键词： 重粒子碰撞电离 等离子体屏蔽效应 经典径迹Monte Carlo方法 Debye-Hückel模型     

温稠密等离子体中Al12+离子的光电离过程

本文采用多组态Dirac-Hartree-Fock方法研究了温稠密等离子体环境中Al12+离子的光电离过程. 等离子体效应采用SM屏蔽势来模拟(Stanton和Murillo在2015年提出). 计算中固定标度温度1.3eV,在强耦合等离子体环境下,研究了等离子体密度对能级,连续态波函数以及光电离截面的影响. 通过与相同等离子体条件下的Debye-Hückel模型势计算的光电离截面对比,发现两种模型对应的结果中未同时出现势形共振峰,这是由于本文采用的屏蔽模型包含等离子体简并、有限温度对动能的梯度修正和量子交换关联效应,对光电离截面的大小和共振结构具有显著影响.     

等离子体中重离子碰撞过程的理论研究

本文使用经典轨道蒙卡方法研究了弱耦合等离子体环境中的裸核离子与基态氢原子碰撞的电荷转移和电离过程,碰撞能量在10-900 kev/amu范围.粒子间的相互作用使用了含与入射速度相关的动力学效应的Debye-Hückel模型.确定了等离子体屏蔽效应所造成的初态电子坐标与动量的微正则分布.研究了电荷转移和电离过程的总截面与等离子体参数、入射离子电荷、速度的关系.计算结果表明:等离子体环境效应对重离子碰撞过程的影响显著,特别是在低速碰撞时.同时给出了在不同Debye长度(1-50a0)和不同入射离子核电荷数(1～14)条件下的计算结果.     

等离子体屏蔽效应对类氢离子束缚态的影响

在Debye屏蔽近似下,通过求解Schrödinger方程,计算了处于等离子体中的类氢离子的束缚态能量本征值与本征函数. 研究了氢原子和类氢Fe25+离子的n l ( n =1-4, l = 0-3)态能级随Debye 屏蔽长度λ的变化规律. 进一步,分析了等离子体屏蔽效应随主量子数n及角量子数l的变化规律, 发现对于给定的l, 等离子体屏蔽效应随主量子数n的增加而增大;对于给定的n,等离子体屏蔽效应随角量子数l 的增大而减小. 最后,我们分析了等离子体环境中类氢等电子序列离子的能级和波函数随屏蔽参数λ的变化规律,发现随着原子序数增大,等离子体屏蔽效应的影响逐渐变小.     

修正屏蔽库仑势下二维尘埃等离子体的动力学和结构特性

本文考虑等离子体密度分布变化, 得到了修正屏蔽库仑势的解析解. 数值分析以及分子动力学模拟表明, 在常见实验室参数情况下, 等离子体密度分布变化引起的屏蔽库仑势修正对二维尘埃等离 子体系统的动力学和结构特性影响很小. 在极限参数情况下, 本模型的计算结果表明二维尘埃等离子体系统的扩散能力明显降低, 并且系统组态呈圆形分布. 此外, 本文还研究了实验室常见大小磁场对二维尘埃等离子体系统的影响. 关键词： 修正屏蔽库仑势 二维尘埃等离子体 分子动力学模拟     

估算等离子体效应对类氢离子束缚态能级能量影响的新公式

在均匀电子气模型下,通过求解Dirac方程,计算了类氢离子束缚态能级能量与等离子体密度的关系,得到了能近似估算能级能量随等离子体密度变化的新拟合公式,该公式同样可以用以估算不同束缚态能级发生压致电离时的临界电子密度.通过与自洽场离子球模型计算结果的比较,作为一种简单和快捷的计算方法,均匀电子汽模型在近似计算束缚态能级能量及压致电离临界电子密度方面是自洽场离子球模型得很好近似方法.     

金等离子体平均离化度随电子温度变化关系的研究

用Cowan的原子结构从头算程序和自旋轨道劈裂阵模型计算各阶电离的金离子能级和跃迁， 在碰撞辐射模型下求解能级布居数方程，计算给定等离子体密度和电子温度下等离子体中离子的分布，给出了平均离化度随电子温度的变化关系.发现稀薄的金等离子体中，在一定的电子温度范围内电子温度的升高平均电离度反而下降的反常现象.讨论了电离势对平均离化度的影响. 关键词： 金等离子体 碰撞辐射模型 布居数 平均电离度     

Electron captures by positrons from hydrogenic ions in nonideal classical plasmas

In nonideal classical plasmas, the electron captures by positrons from hydrogenic ions are investigated. An effective pseudopotential model taking into account the plasma screening effects and collective effects is applied to describe the interaction potential in nonideal plasmas. The classical Bohr-Lindhard model has been applied to obtain the electron capture radius and electron capture probability. The modified hyperbolic trajectory method is applied to the motion of the projectile positron in order to visualize the electron capture probability as a function of the impact parameter, nonideal plasma parameter, projectile velocity, and plasma parameters. The results show that the electron capture probability in nonideal plasmas is always greater than that in ideal plasmas descried by the Debye-Hückel potential, i.e., the collective effect increases the electron capture probability. It is also found that the collective effect is decreased with increasing the projectile velocity. Received 21 January 2000 and Received in final form 27 April 2000     

Potential theory of strong electrolyte solutions using the Bogoliubov-Born-Green-Yvon integral equations

A potential analysis of strong electrolyte solutions is undertaken using the BBGY hierarchy of integral equations. An estimate for the fluctuation potential is found which implies damped oscillatory solutions of the Debye-Hückel potential for κa ? 1·720 (κ = Debye-Hückel constant, a = ionic diameter). The relation to the work of Martynov is also given.     

K-line X-ray fluorescence from highly charged iron ions under dense astrophysical plasma conditions

In the present work, we report an investigation of plasma environment effects on the atomic parameters associated with the K-vacancy states in highly charged iron ions within the astrophysical context of accretion disks around black holes. More particularly, the sensitivity of K-line X-ray fluorescence parameters (wavelengths, radiative transition probabilities, and Auger rates) in Fe XVII–Fe XXV ions has been estimated for plasma conditions characterized by an electron temperature ranging from 10⁵ to 10⁷ K and an electron density ranging from 10¹⁸ to 10²² cm⁻³. In order to do this, relativistic multiconfiguration Dirac-Fock atomic structure calculations have been carried out by considering a time averaged Debye-Hückel potential for both the electron–nucleus and electron–electron interactions.     

Electron-ion Coulomb Bremsstrahlung in nonideal plasmas

The classical electron-ion Coulomb Bremsstrahlung process is investigated in nonideal plasmas. An effective pseudopotential model taking into account the plasma screening and collective effects is applied to describe the electron-ion interaction potential in a classical nonideal plasma. The classical straight-line trajectory method is applied to the motion of the projectile electron in order to visualize the variation of the differential Bremsstrahlung radiation cross-section (DBRCS) as a function of the scaled impact parameter, nonideal plasma parameter, projectile energy, photon energy, and Debye length. The results show that the DBRCS in ideal plasmas described by the Debye-Hückel potential is always greater than that in nonideal plasmas, i.e., the collective effects reduce the DBRCS for both the soft and hard photon cases. For large impact parameters, the DBRCS for the soft photon case is found to be always greater than that for the hard photon case. Received 1st December 1999     

Partial treatment of the fluctuation potential in the Debye-Hückel theory of electrolyte solutions

The treatment of the two-sphere fluctuation potential problem in the Debye-Hückel theory is taken into account in a more satisfactory manner. The results are seen to parallel those of Kirkwood.     

惰性物质等离子体物态方程研究

对高温高压下惰性等离子体的电离度和物态方程，给出了一种基于Thomas-Feimi(TF)统计模型的简化计算新方法，即首先对TF模型电离势的数值结果进行函数逼近，得出近似计算电离势的简单解析函数；在局部热动平衡情况下，假定离子数密度n(Z^*)为Z^*的连续函数，再由Debye-Hückel修正的 Saha 方程，得出了一个便于数值求解的电离度的近似计算公式，从而建立了一种惰性等离子体物态方程的简化模型，并对氦、氖、氩三种惰性物质等离子体进行了计算.计算结果与其他文献计算结果和实验值均符合很好.所提出的简单模型也适用于计算混合物物态方程，在高温高密度强电离等离子体领域将有更为广阔的应用前景.     

Lowest lying <Superscript>1</Superscript>D<Superscript>e</Superscript> resonance of H<Superscript>-</Superscript> in Debye plasma

Electron-hydrogen scattering has been investigated in Debye plasma environment employing the close-coupling approximation. Two models, viz., 6-state CCA and 9-state CCA have been used. Plasma screening has been taken into account via Debye-Hückel model potential. The lowest lying ¹D^e^1{\rm D}^{{\rm e}} auto-detaching resonance of the hydrogen negative ion has been successfully predicted for various plasma conditions. The resonant state changes to shape resonance for Debye scattering lengths less than a critical value.     

Eigenvalues for an exponentially screened Coulomb potential

A scaling law is developed which expresses the eigenvalues of the Debye-Hückel potential in terms of a single parameter. A semi-classical quantization is shown to give an accurate approximation to the eigenvalues and it is used to obtain simple procedures for the calculation of the critical screening lengths and the numbers of discrete quantum states in any exponentially screened Coulomb potential.     

Lattice Waves in Two-Dimensional Hexagonal Quantum Plasma Crystals

Lattice waves including a longitudinal wave and a transverse wave in two-dimensional hexagonal quantum plasma crystals are investigated by using the modified Debye-Hückel screening potential. It is shown that there exists an unstable region of lattice parameters, where the system will melt. The general dispersion relations are derived, and the waves propagating parallel to a primitive translation vector are discussed. We find that both the longitudinal and transverse waves are acoustic-like, and the longitudinal wave has a greater sound speed than that of the transverse wave in the long wavelength limit region.