Berlin 2005 – wissenschaftliches Programm

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DY: Dynamik und Statistische Physik

DY 50: Critical Phenomena and Phase Transitions

DY 50.5: Vortrag

Mittwoch, 9. März 2005, 11:00–11:15, TU H3010

Vortex Line Percolation in the Three-Dimensional Complex Ginzburg-Landau Model — •Elmar Bittner, Axel Krinner, and Wolfhard Janke — Institut für Theoretische Physik, Universität Leipzig, Augustusplatz 10/11, 04109 Leipzig, Germany

Percolation has been used to study phase transitions in various different theories, an example of this is the O(2) field theory where the percolating objects are vortex lines forming closed networks. In discussing the phase transition of the three-dimensional complex Ginzburg-Landau model, we study a geometrically defined vortex loop network as well as the magnetic properties of the system in the vicinity of the critical point. Using high-precision Monte Carlo techniques we consider an alternative formulation of the geometrical excitations in relation to the global O(2)-symmetry breaking, and check if both of them exhibit the same critical behaviour leading to the same critical exponents and therefore to a consistent description of the phase transition. Different percolation observables are taken into account and compared with each other.