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DY: Fachverband Dynamik und Statistische Physik
DY 6: Critical Phenomena and Phase Transitions
DY 6.1: Talk
Monday, March 17, 2025, 11:30–11:45, H47
The square lattice Ising model with quenched surface disorder — Luca Cervellera, Oliver Oing, Jan Büddefeld, and •Fred Hucht — Fakultät für Physik, Universität Duisburg-Essen
Using exact enumeration, the Casimir amplitude and the Casimir force are calculated for the square lattice Ising model with quenched surface disorder on one surface in cylinder geometry at criticality. The system shape is characterized by the aspect ratio ρ=L/M, where the cylinder length L can take arbitrary values, while the circumference M is varied from M=4 to M=54, resulting in up to 254 numerically exact free energy calculations. A careful M→∞ extrapolation shows that quenched surface disorder is irrelevant in two dimensions, but gives rise to logarithmic corrections.
Keywords: critical Casimir forces; square lattice Ising model; quenched disorder; universality; exact enumeration