微观扩散界面上的表面守恒定律
Surface Conservation Laws at Microscopically Diffuse Interfaces
摘要：
在动态化学成分界面的研究中，通过过量表面量的表面守恒定律耦合体量和界面量。虽然这种方法适用于显微镜下的尖锐界面，但其在显微镜下扩散的情况下的适用性在理论上不太确定。此外，表面守恒定律（和一般的界面）往往是从现象学而不是系统地推导出来的。本文通过对边界层输运过程的渐近分析，对扩散界面上的表面守恒律进行了严格的数学论证，并导出了表面守恒律中出现的一般表面通量和法向通量。接下来，我们使用非热力学来制定表面守恒定律的化学势系统地推导出界面层的结构的方法。最后，我们从扩散和电化学输运的几个例子守恒定律。
英文摘要：
In studies of interfaces with dynamic chemical composition, bulk and interfacial quantities coupled via surface conservation laws of excess surface quantities. While this approach is for microscopically sharp interfaces, its applicability in the context of microscopically diffuse is less theoretically well-established. Furthermore, surface conservation laws (and interfacial in general) are often derived phenomenologically rather than systematically. In this article, provide a mathematically rigorous justification for surface conservation laws at diffuse interfaces on an asymptotic analysis of transport processes in the boundary layer and derive general the surface and normal fluxes that appear in surface conservation laws. Next, we use non-thermodynamics to formulate surface conservation laws in terms of chemical potentials a method for systematically deriving the structure of the interfacial layer. Finally, we conservation laws for a few examples from diffusive and electrochemical transport.
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