Off-critical Casimir effect in Ising Slabs with Symmetric Boundary Conditions in d=3
Abstract
Extended de Gennes-Fisher (EdGF) local-functional method has been applied to the thermodynamic Casimir effect {\it away} from the critical point for systems in the Ising universality class confined between parallel plane plates with symmetric boundary conditions (denoted ). Results on the universal scaling functions of the Casimir force ( is a temperature-dependant scaling variable) and Gibbs adsorption are presented in spatial dimension . Also, the mean-field form of the universal scaling function of the Gibbs adsorption is derived within the local functional theory. Asymptotic behavior of for very large values of the scaling variable is analyzed in {\it general} dimension .
Keywords
Cite
@article{arxiv.0804.2340,
title = {Off-critical Casimir effect in Ising Slabs with Symmetric Boundary Conditions in d=3},
author = {Z. Borjan and P. J. Upton},
journal= {arXiv preprint arXiv:0804.2340},
year = {2009}
}
Comments
4 pages, 2 figures; typos coorected, penultimate paragraph added, some references removed; to appear in the Physical Review Letters