English

Off-critical Casimir effect in Ising Slabs with Symmetric Boundary Conditions in d=3

Statistical Mechanics 2009-11-13 v2

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 (ab)=(++)(ab)=(++)). Results on the universal scaling functions of the Casimir force W++(y)W_{++}(y) (yy is a temperature-dependant scaling variable) and Gibbs adsorption G~(y)\tilde G(y) are presented in spatial dimension d=3d=3. Also, the mean-field form of the universal scaling function of the Gibbs adsorption G~(y)\tilde G(y) is derived within the local functional theory. Asymptotic behavior of W++(y)W_{++}(y) for very large values of the scaling variable yy is analyzed in {\it general} dimension dd.

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