College of Science and Engineering, James Cook University, Townsville, QLD 4811, Australia.
Institute of Physics, University of Belgrade, PO Box 68, 11080, Zemun, Belgrade, Serbia.
Sci Rep. 2018 Feb 2;8(1):2226. doi: 10.1038/s41598-018-19711-5.
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.
我们推导出了一个相空间动理学模型的三阶偏斜输运系数，该模型考虑了散射碰撞、俘获、脱陷和复合损耗等过程。所得的偏斜张量表达式对菲克定律进行了扩展，进而应用于产生相应的广义平流-扩散-偏斜方程。提出了俘获引起的偏斜的物理解释，并用于描述由于俘获引起的观测到的负偏斜。通过与爱因斯坦关系的类比，形成了偏斜、扩散、迁移率和温度之间的关系。探讨了分数输运，并概述了其对通量输运系数的影响。
