Mass transport equations unifying descriptions of isothermal diffusion, thermomigration, segregation, and position-dependent diffusivity
Mass transport equations unifying descriptions of isothermal diffusion, thermomigration, segregation, and position-dependent diffusivity
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质量传递方程统一了等温扩散、热迁移、偏析和位置相关扩散率的描述
DOI：
10.1063/1.122551
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发表时间：
1998
影响因子：
4
通讯作者：
T. Tan
中科院分区：
文献类型：
--
作者：
T. Tan
结合跳跃频率法和化学力公式法，导出了一组广义的质量输运方程。这组方程统一了对等温扩散、由热梯度引起的热迁移以及由晶体不均匀引起的偏析和与位置有关的扩散系数的描述。这些方程重现了等温均匀晶体情况下的Fick定律和等温非均匀晶体情况下的扩散-偏析方程。此外，还得到了热迁移输运热的新表达式。
Via the combined use of the jump frequency and chemical force formulation methods, a set of generalized mass transport equations has been derived. This set of equations unifies the descriptions of isothermal diffusion, thermomigration induced by a thermal gradient, and segregation and the position-dependent diffusivity arising from the crystal inhomogeneity. The equations reproduce Fick’s laws for the isothermal homogeneous crystal case, and the diffusion-segregation equations for the isothermal inhomogeneous crystal case. Also, a new expression for the heat of transport of thermomigration is obtained.