Abstract
The free energy is analysed of a spherical interface generated in a fluid described by a local free energy density functional that features square-gradient and square-Laplacian terms. The bulk, the surface tension and the bending rigidity terms are investigated, and the position is found for the dividing surface that satisfies the generalized Laplace equation that incorporates bending terms. The results agree with those obtained previously from the general expression for the stress tensor of an interface of arbitrary shape (Romero-Rochín, V., Varea, C., and Robledo, A., 1991, Phys. Rev. A, 44, 8417; 1993, Phys. Rev. E, 46, 1600). Also, when a comparison is made between spherical and planar interfaces the expressions obtained are those derived by Gompper, G., and Zschocke, S. (1991, Europhys. Lett., 18, 731) and by Blokhuis, E. M., and Bedeaux, D. (1993, Molec, Phys., 80, 705). These expressions correspond to the length of Tolman and to similar higher-order correction terms.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
