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DY: Fachverband Dynamik und Statistische Physik

DY 33: Critical Phenomena and Phase Transitions

DY 33.6: Talk

Wednesday, March 18, 2015, 16:15–16:30, BH-N 334

Phase transition of films in the Ising universality class — •Martin Hasenbusch — Humoldt-Universität zu Berlin, Deutschland

We study the phase transition of films with free and periodic boundary conditions. To this end we perform Monte-Carlo simulations of the Ising and the Blume-Capel model on the simple cubic lattice. Using a finite size scaling method, we determine accurately the transition temperature for thicknesses up to L₀=64. Since the transition is expected to share the universality class of the two-dimensional Ising model we can make use of exact and accurate numerical results obtained for this model. Our numerical results nicely confirm that the transition of the films indeed belongs to the universality class of the two-dimensional Ising model. We analyse how the transition temperature of the films approaches the transition temperature of the bulk system as the thickness increases. We confirm the power law behaviour predicted by finite size scaling.