Dresden 2011 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 42: Critical Phenomena and Phase Transitions
DY 42.8: Vortrag
Freitag, 18. März 2011, 12:00–12:15, ZEU 255
Aspect ratio dependence of critical Casimir forces — •Alfred Hucht, Daniel Grüneberg, and Felix Schmidt — Fakultät für Physik, Universität Duisburg-Essen
We consider three-dimensional Ising models in a L⊥× L∥× L∥ cuboid geometry with finite aspect ratio ρ = L⊥/ L∥ and periodic boundary conditions along all directions. For these models the universal finite-size scaling function of the thermodynamic Casimir force is evaluated numerically by means of Monte Carlo simulations employing the method recently presented in [1]. The Monte Carlo results are compared to recent field theoretical results for the Ising universality class for temperatures below and above the bulk critical temperature Tc [2], and to the finite-size scaling functions of the thermodynamic Casimir force derived in [3] for the O(n)-symmetrical case and temperatures T ≥ Tc in the framework of the renormalization group-improved perturbation theory to two-loop order. The MC data are found to be in good agreement with these field theoretical results. Furthermore, the Casimir force scaling function for the two dimensional Ising model as function of ρ is calculated exactly and compared to the three dimensional case.
[1] A. Hucht, Phys. Rev. Lett. 99, 185301 (2007). [2] V. Dohm, Europhys. Lett. 86, 20001 (2009). [3] D. Grüneberg and H. W. Diehl, Phys. Rev. B, 77, 115409 (2008).