Berlin 2018 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 25: Statistical Physics II (General)

DY 25.3: Talk

Tuesday, March 13, 2018, 10:30–10:45, BH-N 243

Efficient method of simulating with long-range interactions: The case of coarsening in the Ising model — •Henrik Christiansen, Suman Majumder, and Wolfhard Janke — Institut für Theoretische Physik, Universität Leipzig, Postfach 100 920, 04009 Leipzig, Germany

Simulations of systems with long range interactions are computationally more challenging than its short range counterpart, e.g., in the long range Ising model all spins have to be considered in the calculation of the local energy change. For several models, this problem has been overcome by the introduction of cluster algorithms for equilibrium simulations. As those cluster methods do not capture the dynamics, one cannot rely on them for simulating kinetics of phase transitions. Here, we present a novel and efficient approach of tackling such problems, concerning nonequilibrium dynamics via Monte Carlo simulations by storing a local “pseudo heatbath” for the energy calculation. As an illustration, we present results for coarsening of the long range Ising model in d=2 dimensions. In contradiction to all available simulation results in this context (using an cut-off to make the simulation feasible), our results establish agreement with the theoretical predictions.