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Upton, P. J. and Borjan, Z.
(2013).
DOI: https://doi.org/10.1103/PhysRevB.88.155418
URL: http://journals.aps.org/prb/abstract/10.1103/PhysR...
Abstract
The universal scaling function W+−(y) of the Casimir force (y is a temperature-dependent variable) away from the critical point for thermodynamic systems in the Ising universality class confined between two parallel plates with antisymmetric boundary conditions [denoted (ab)=(+−)] has been analyzed using the extended de Gennes–Fisher local-functional method. Results on the universal function W+−(y) are presented in spatial dimension d=3 applying the extended sine parametric model for temperatures T>TR, where T>TR is the critical temperature of the roughening transition. The asymptotic behavior of W+−(y) for large values of the scaling variable y, y→±∞, is analyzed in general dimension d for T≫Tc, where Tc is the bulk critical temperature, and in d≥3 for T≪TR.
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- Item ORO ID
- 45465
- Item Type
- Journal Item
- ISSN
- 1098-0121
- Academic Unit or School
-
Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM) - Copyright Holders
- © American Physical Society
- Depositing User
- Paul Upton