Volume 86, Number 2, April 2009
|Number of page(s)||5|
|Published online||24 April 2009|
Critical Casimir force in slab geometry with finite aspect ratio: Analytic calculation above and below Tc
Institute for Theoretical Physics, RWTH Aachen University - D-52056 Aachen, Germany, EU
Corresponding author: firstname.lastname@example.org
Accepted: 20 March 2009
We study the critical Casimir force in a d-dimensional slab geometry with a finite aspect ratio above, at, and below on the basis of the O symmetric isotropic field theory with short-range interactions. Exact results are obtained in the large-n limit. For , the result of a perturbation approach at fixed dimension is presented that describes the dependence on the aspect ratio in the range 1/4. Our analytic result for the Casimir force scaling function for ρ = 1/4 agrees well with recent Monte Carlo data for the three-dimensional Ising model in slab geometry with periodic boundary conditions above, at, and below .
PACS: 05.70.Jk – Critical point phenomena / 64.60.-i – General studies of phase transitions / 75.40.-s – Critical-point effects, specific heats, short-range order
© EPLA, 2009
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