Exact Results for the Structured Liquid-Solid Interface

摘要

The theoretical discussion of smooth surfaces is considerably simpler than thatof a realistic surface, in which the solid, usually a metal, has a well defined crystal structure. The reason is that in the case of a smooth surface the problem is one dimensional, rather than three dimensional. The analysis of a realistic metal surface potential in contact with an ionic solution is extremely difficult, and requires the use of very large computers. We would like to discuss a simple model of a structured interface which predicts surface phase behavior, for the adsorbed layers, and which is mathematically tractable. In fact, if the correlation functions of the smooth surface model are known to all orders, then the properties and correlation functions of our model can be computed exactly, at least in principle.