Off-critical Casimir effect in Ising slabs with antisymmetric boundary conditions in d=3

Upton, P. J. and Borjan, Z. (2013). Off-critical Casimir effect in Ising slabs with antisymmetric boundary conditions in d=3. Physical Review B, 88 pp. 155418–1.

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>T_R, where T>T_R 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≫T_c, where T_c is the bulk critical temperature, and in d≥3 for T≪T_R.

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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