Effective Hamiltonian for a liquid–gas interface fluctuating around a corrugated cylindrical substrate in the presence of van der Waals interactions
✍ Scribed by F. Dutka; M. Napiórkowski
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 964 KB
- Volume
- 388
- Category
- Article
- ISSN
- 0378-4371
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✦ Synopsis
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 the implications of the structure of these functions on the effective Hamiltonian.