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DY: Fachverband Dynamik und Statistische Physik
DY 44: Critical Phenomena and Phase Transitions
DY 44.6: Talk
Wednesday, March 9, 2016, 16:45–17:00, H47
Planar order in the 3D plaquette gonihedric Ising model — Marco Mueller1, Desmond A. Johnston2, and •Wolfhard Janke1 — 1Institut für Theoretische Physik, Universität Leipzig,
Postfach 100 920, D-04009 Leipzig, Germany — 2Department of Mathematics and the Maxwell Institute for Mathematical Sciences, Heriot-Watt University, Riccarton, Edinburgh, EH14 4AS, Scotland
We conduct a careful multicanonical simulation of the isotropic 3D plaquette (“gonihedric”) Ising model and confirm that a planar, “fuki-nuke” type order characterises the low-temperature phase of the model. From consideration of the anisotropic limit of the model we define a class of order
parameters which can distinguish the low- and high-temperature phases in both the anisotropic and isotropic cases. We also show that the order parameter like behaviour of the standard magnetic susceptibility χm observed in previous Metropolis simulations was an artefact of the algorithm failing to explore the phase space of the macroscopically degenerate low-temperature phase.
D.A. Johnston, M. Mueller, and W. Janke, Mod. Phys. Lett. B 29 (2015) 1550109;
M. Mueller, W. Janke, and D.A. Johnston, Nucl. Phys. B 894 (2015) 1;
W. Janke, M. Mueller, and D.A. Johnston, J. Phys.: Conf. Ser. 640 (2015) 012002.