2009/02/19 by V. Dohm, Volker Dohm · 1 citation
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Quantum Electrodynamics and Casimir Effect #Quantum, superfluid, helium dynamics #cond-mat.stat-mech
paper · pdf · doi:10.1209/0295-5075/86/20001
published as EPL 86, 20001 (2009) · 4 figures
arxiv created 2009/02/19 · openalex publication_date 2009/04/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/04
We study the critical Casimir force in a d -dimensional L ∥ d -1 × L slab geometry with a finite aspect ratio ρ= L / L ∥ above, at, and below T c on the basis of the O( n ) symmetric isotropic φ 4 field theory with short-range interactions. Exact results are obtained in the large- n limit. For n =1, 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≳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 .