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Third-order transport coefficients for localised and delocalised charged-particle transport

机译:局部和非局部带电粒子传输的三阶传输系数

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摘要

We derive third-order transport coefficients of skewness for a phase-space kinetic model that considers the processes of scattering collisions, trapping, detrapping and recombination losses. The resulting expression for the skewness tensor provides an extension to Fick’s law which is in turn applied to yield a corresponding generalised advection-diffusion-skewness equation. A physical interpretation of trap-induced skewness is presented and used to describe an observed negative skewness due to traps. A relationship between skewness, diffusion, mobility and temperature is formed by analogy with Einstein’s relation. Fractional transport is explored and its effects on the flux transport coefficients are also outlined.
机译:我们为相空间动力学模型导出了偏度的三阶传输系数,该模型考虑了散射碰撞,捕获,去陷阱和重组损失的过程。偏度张量的所得表达式提供了Fick定律的扩展,该定律又用于产生相应的广义对流扩散-偏度方程。介绍了陷阱引起的偏斜的物理解释,并用于描述由于陷阱导致的负偏斜。偏度,扩散,迁移率和温度之间的关系是通过类似于爱因斯坦的关系形成的。探索了分数输运,并概述了其对通量输运系数的影响。

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