Dresden 2020 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 62: Critical Phenomena and Phase Transitions

DY 62.7: Talk

Friday, March 20, 2020, 11:15–11:30, ZEU 118

Bond-flip Monte Carlo based on exact results for the square lattice ± J Ising model — Jan Büddefeld and •Fred Hucht — Fakultät für Physik, Universität Duisburg-Essen

We present preliminary results on a Monte Carlo method with single bond-flip dynamics for the square lattice Ising model with ± J couplings and arbitrary boundary conditions. Using a recently derived exact expression for the free energy of a system with arbitrary nearest neighbor couplings J_ij on the torus, we propose an efficient update scheme for the calculation of the free energy change under a bond flip. We numerically calculate the density of states of the bond ensemble and discuss advantages and disadvantages of the method.