Regensburg 2013 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 22: Statistical Physics (general)

DY 22.10: Vortrag

Mittwoch, 13. März 2013, 17:45–18:00, H48

Statistical Physics of Lattice Triangulations in Arbitrary Dimensions — •Benedikt Krüger, Johannes F. Knauf, and Klaus Mecke — Institut für Theoretische Physik, FAU Erlangen-Nürnberg, Staudtstr. 7, D-91058 Erlangen

Triangulations are a common tool in physics, e.g. for discretization of complex structures in classical and quantum geometry. They can be used for approximating smooth curved objects with piecewise flat simplices as elementary building blocks. We study the statistical properties of lattice triangulations in arbitrary dimensions numerically. Defining elementary flips between different triangulations, Markov-Chain Monte-Carlo simulation methods can be applied. Using the Wang-Landau algorithm we can directly calculate the density of states (DOS) and the total number of lattice triangulations for different system sizes. By applying different energy functionals we examine canonical partition sums and phase transitions.