Stokes Peter W, Philippa Bronson, Cocks Daniel, White Ronald D
College of Science and Engineering, James Cook University, Townsville, QLD 4811, Australia.
College of Science and Engineering, James Cook University, Cairns, QLD 4870, Australia.
Phys Rev E. 2017 Apr;95(4-1):042119. doi: 10.1103/PhysRevE.95.042119. Epub 2017 Apr 11.
A generalized phase-space kinetic Boltzmann equation for highly nonequilibrium charged particle transport via localized and delocalized states is used to develop continuity, momentum, and energy balance equations, accounting explicitly for scattering, trapping and detrapping, and recombination loss processes. Analytic expressions detail the effect of these microscopic processes on mobility and diffusivity. Generalized Einstein relations (GER) are developed that enable the anisotropic nature of diffusion to be determined in terms of the measured field dependence of the mobility. Interesting phenomena such as negative differential conductivity and recombination heating and cooling are shown to arise from recombination loss processes and the localized and delocalized nature of transport. Fractional transport emerges naturally within this framework through the appropriate choice of divergent mean waiting time distributions for localized states, and fractional generalizations of the GER and mobility are presented. Signature impacts on time-of-flight current transients of recombination loss processes via both localized and delocalized states are presented.
一个用于描述通过局域态和离域态的高度非平衡带电粒子输运的广义相空间动力学玻尔兹曼方程，被用于推导连续性、动量和能量平衡方程，其中明确考虑了散射、俘获和脱俘获以及复合损失过程。解析表达式详细说明了这些微观过程对迁移率和扩散率的影响。推导了广义爱因斯坦关系（GER），它能够根据所测量的迁移率的场依赖性来确定扩散的各向异性性质。结果表明，诸如负微分电导率以及复合加热和冷却等有趣现象源于复合损失过程以及输运的局域化和离域化性质。通过为局域态适当选择发散的平均等待时间分布，分数输运在这个框架内自然出现，并给出了GER和迁移率的分数推广形式。展示了通过局域态和离域态的复合损失过程对飞行时间电流瞬变的显著影响。
