论文标题
Casimir对3D润湿的界面汉密尔顿的贡献
Casimir contribution to the interfacial Hamiltonian for 3D wetting
论文作者
论文摘要
先前对三维（3D）短距润湿跃迁的治疗方法遗漏了熵或低温Casimir对结合电位的贡献，该结合电位描述了未连接界面与壁之间的相互作用。这是通过精确得出从更微小的Landau-Ginzburg-Wilson Hamiltonian的3D润湿的界面模型来确定的。 Casimir项改变了在润湿转变处发生的波动效应的解释，例如，当忽略界面波动时，不再获得平均场预测。尽管Casimir的贡献并没有改变表面相图，但它显着增加了一阶润湿过渡附近的吸附，并完全改变了三级润湿的预测临界奇点，包括由界面波动引起的3D发生的非宇宙性。我们表明，对于临界润湿，渐近状态非常狭窄，其平行相关长度的生长具有与Ising模型模拟的定量一致性有效指数的特征，从而解决了长期存在的争议。
Previous treatments of three-dimensional (3D) short-ranged wetting transitions have missed an entropic or low temperature Casimir contribution to the binding potential describing the interaction between the unbinding interface and wall. This we determine by exactly deriving the interfacial model for 3D wetting from a more microscopic Landau-Ginzburg-Wilson Hamiltonian. The Casimir term changes the interpretation of fluctuation effects occurring at wetting transitions so that, for example, mean-field predictions are no longer obtained when interfacial fluctuations are ignored. While the Casimir contribution does not alter the surface phase diagram, it significantly increases the adsorption near a first-order wetting transition and changes completely the predicted critical singularities of tricritical wetting, including the non-universality occurring in 3D arising from interfacial fluctuations. Using the numerical renormalization group we show that, for critical wetting, the asymptotic regime is extremely narrow with the growth of the parallel correlation length characterised by an effective exponent in quantitative agreement with Ising model simulations, resolving a longstanding controversy.
