考虑范德华相互作用时波纹圆柱基片周围液-气界面波动的有效哈密顿量
Effective Hamiltonian for a liquid-gas interface fluctuating around a corrugated cylindrical substrate in the presence of van der Waals interactions
摘要：
我们调查液体层吸附在球形和波纹圆柱形基板。利用平均场密度泛函理论推导了在弯曲衬底存在下气液界面的有效哈密顿量。他们的结构进行了比较与Helfrich哈密顿参数化的弯曲和高斯刚度系数。对于范德瓦尔斯型的长程粒子间相互作用，这些系数是界面曲率的非普适函数;它们的形式从一个界面到另一个界面是不同的。我们讨论的影响，这些功能的结构上的有效哈密顿量。
英文摘要：
We investigate liquid layers adsorbed at spherical and corrugated cylindrical substrates. The effective Hamiltonians for the liquid-gas interfaces fluctuating in the presence of such curved substrates are derived via the mean-field density functional theory. Their structure is compared with the Helfrich Hamiltonian which is parametrized by the bending and Gaussian rigidity coefficients. For long-ranged interparticle interactions of van der Waals type these coefficients turn out to be non-universal functions of interfacial curvatures; their form varies from one interface to another. We discuss implications of the structure of these functions on the effective Hamiltonian.
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