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>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 TTc, where Tc is the bulk critical temperature, and in d≥3 for TTR.

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