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摘要翻译：
在我们的第一篇论文中，我们展示了如何从底层的Landau-Ginzburg-Wilson模型导出短程润湿的非局部有效Hamiltionian。本文将Green函数方法与标准微扰理论相结合，确定了Landau-Ginzburg-Wilson体势在双抛物线近似之外束缚势泛函的一般图解形式。三次和四次相互作用的主要影响只是改变了双抛物线状锯齿形图的系数，还引入了曲率和管相互作用修正（也用图解表示），这些都是次要的。非局域性由于管状涨落从壁面反射而产生有效的长程多体界面相互作用。文中还讨论了交替壁面边界条件（有表面场和增强）和三重润湿的图解描述。
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英文标题：
《Derivation of a Non-Local Interfacial Hamiltonian for Short-Ranged
Wetting II: General Diagrammatic Structure》
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作者：
A.O. Parry, C. Rascon, N.R. Bernardino, J.M. Romero-Enrique
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最新提交年份：
2007
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分类信息：
一级分类：Physics 物理学
二级分类：Statistical Mechanics 统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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一级分类：Physics 物理学
二级分类：Soft Condensed Matter 软凝聚态物质
分类描述：Membranes, polymers, liquid crystals, glasses, colloids, granular matter
膜，聚合物，液晶，玻璃，胶体，颗粒物质
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英文摘要：
In our first paper, we showed how a non-local effective Hamiltionian for short-ranged wetting may be derived from an underlying Landau-Ginzburg-Wilson model. Here, we combine the Green's function method with standard perturbation theory to determine the general diagrammatic form of the binding potential functional beyond the double-parabola approximation for the Landau-Ginzburg-Wilson bulk potential. The main influence of cubic and quartic interactions is simply to alter the coefficients of the double parabola-like zig-zag diagrams and also to introduce curvature and tube-interaction corrections (also represented diagrammatically), which are of minor importance. Non-locality generates effective long-ranged many-body interfacial interactions due to the reflection of tube-like fluctuations from the wall. Alternative wall boundary conditions (with a surface field and enhancement) and the diagrammatic description of tricritical wetting are also discussed.
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PDF链接：
https://arxiv.org/pdf/707.064
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