Self-consistent system of equations for a kinetic description of the low-pressure discharges accounting for the nonlocal and collisionless electron dynamics
For low-pressure discharges, when the electron mean free path is larger or comparable with the discharge length, the electron dynamics is essentially nonlocal. Moreover, the electron energy distribution function (EEDF) deviates considerably from a Maxwellian. Therefore, an accurate kinetic description of the low-pressure discharges requires knowledge of the nonlocal conductivity operator and calculation of the nonMaxwellian EEDF. The previous treatments made use of simplifying assumptions: a uniform density profile and a Maxwellian EEDF. In the present study a self-consistent system of equations for the kinetic description of nonlocal, nonuniform, nearly collisionless plasmas of low-pressure discharges is derived. It consists of the nonlocal conductivity operator and the averaged kinetic equation for calculation of the nonMaxwellian EEDF. The importance of accounting for the nonuniform plasma density profile on both the current density profile and the EEDF is demonstrated.
Kinetic Theory of Transport Driven Current in Centrally fuelled Plasmas
当稳态圆柱形等离子体放电是中心燃料,碰撞的径向电子通量是正则耦合到轴向电流。这种输运驱动电流的识别和分析,以前报道的无碰撞模拟[W。Nunan和J.M. Dawson,Phys. Rev. Lett. $\mathbf{73}$,1628(1994)],解析地解决,并扩展到碰撞制度的第一原理动力学模型。无碰撞径向输运用标准准线性模型描述,碰撞速度各向异性弛豫用朗道动力学方程描述。当考虑捕获粒子修正时,该动力学模型的解给出了中心燃料稳态托卡马克中输运驱动电流随热核功率和放电参数变化的解析表达式。对于ITER类型的放电,与中央燃料,电流约为1兆安培的预测,由第一原理分析动力学模型。
Revisiting Electron Heating in Capacitively Coupled Plasma (CCP) Discharges: A Nonlinear Dynamics Perspective
Institute for Plasma Research(等离子体研究所);Homi Bhabha National Institute(霍米·巴巴国立研究所);School of Physical Sciences, UM-DAE Centre for Excellence in Basic Sciences, University of Mumbai(孟买大学物理科学学院,UM-DAE基础科学卓越中心)
Collisionless Bulk Electron Heating in Resonant Low-Voltage Capacitively Coupled Plasmas
Institute for Plasma Research(等离子体研究所);Homi Bhabha National Institute(霍米·巴巴国立研究所);Princeton Plasma Physics Laboratory(普林斯顿等离子体物理实验室);Department of Physics, Indian Institute of Science(印度科学学院物理系);School of Physical Sciences, UM-DAE Centre for Excellence in Basic Sciences, University of Mumbai(孟买大学基础科学卓越中心物理科学学院)
Simulation Studies of Resonant Excitation of Electron Bernstein Waves in Capacitive Discharges
School of Physical Sciences, UM-DAE Centre for Excellence in Basic Sciences, University of Mumbai(孟买大学基础科学卓越中心物理学院);Institute for Plasma Research(等离子体研究所);Homi Bhabha National Institute(霍米·巴巴国立研究所);Princeton Plasma Physics Laboratory(普林斯顿等离子体物理实验室)
The effect of the driving frequency on the confinement of beam electrons and plasma density in low pressure capacitive discharges
采用Particle in Cell/Monte Carlo碰撞模拟和解析模型,研究了在几Pa的低压下工作的电容式射频氩等离子体中,改变驱动频率对等离子体密度和电子动力学的影响。与先前的假设相反,在这种非局部无碰撞的情况下,等离子体密度不遵循对驱动频率的二次依赖。相反,观察到在不同的驱动频率下的阶梯状增加。基于分析的功率平衡模型,结合电子动力学的详细分析,密度跳跃被发现是由电子加热模式从经典的$α$模式转变成低密度谐振加热模式,其特征在于在每个电极每个鞘层膨胀阶段产生两个高能电子束。这些电子束在没有碰撞的情况下通过主体传播,并与相对的鞘层相互作用。在低密度模式中,发现第二束在其塌陷期间撞击相对鞘。因此,大量的高能电子在电极处损失,导致与在较高驱动频率下观察到的经典$α$模式相比,束电子的约束较差。基于分析模型,这种调制的约束质量和相关的调制的能量损失的每电子在电极上被证明是导致等离子体密度的阶梯状变化。根据模拟结果分析了电极间隙、中性气体压力、电极的电子粘附系数和次级电子发射系数的变化对等离子体密度阶梯状增加的影响。
Electron dynamics in planar radio frequency magnetron plasmas: II. Heating and energization mechanisms studied via a 2d3v particle-in-cell/Monte Carlo code
Self-consistent theory for the linear and nonlinear propagation of a sinusoidal electron plasma wave. Application to stimulated Raman scattering in a non-uniform and non-stationary plasma