Critical Casimir force in slab geometry with finite aspect ratio: analytic calculation above and below $T_c$

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dc.creatorDohm, Volker
dc.date2009-02-17
dc.date2009-02-19
dc.date.accessioned2026-07-07T13:11:45Z
dc.date.available2026-07-07T13:11:45Z
dc.descriptionWe present a field-theoretic study of the critical Casimir force of the Ising universality class in a $d$-dimensional ${L_\parallel^{d-1} \times L}$ slab geometry with a finite aspect ratio $ρ= L/L_\parallel$ above, at, and below $T_c$. The result of a perturbation approach at fixed dimension $d=3$ is presented that describes the dependence on the aspect ratio in the range $ρ\gtrsim 1/4$. 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 $T_c$.
dc.description4 figures
dc.identifierhttps://arxiv.org/abs/0902.2961
dc.identifierhttp://arxiv.org/abs/0902.2961
dc.identifierEPL 86, 20001 (2009)
dc.identifierdoi:10.1209/0295-5075/86/20001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/229381
dc.subjectStatistical Mechanics
dc.titleCritical Casimir force in slab geometry with finite aspect ratio: analytic calculation above and below $T_c$
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