Berlin 2015 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 15: Statistical Physics - general

DY 15.5: Vortrag

Dienstag, 17. März 2015, 10:30–10:45, BH-N 334

Ising model on two-dimensional unimodular Lattice Triangulations — •Tony Wasserka, Benedikt Krüger, and Klaus Mecke — Institut für Theoretische Physik, Staudtstr. 7, 91058 Erlangen

Unimodular triangulations of two-dimensional integer lattices can be used as real-space networks implementing certain amounts of order or disorder. We couple the well-known Ising model (which is a common prototype model for phase transitions and can be solved analytical for regular lattices) with such lattice triangulations so that nearest neighbours are defined by the edges of the triangulation. Using this setup the critical temperature and critical exponents can be measured numerically using Monte-Carlo-simulations. Introducing an order parameter for triangulations and interpreting it as an energy we determine microcanonical and canonical averages and therewith the order-dependency of these critical observables.