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Regensburg 2016 – scientific programme

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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 modelMarco Mueller1, Desmond A. Johnston2, and •Wolfhard Janke11Institut 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.

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