Planar ordering in the plaquette-only gonihedric Ising model

Marco Mueller, Wolfhard Janke, Desmond Alexander Johnston

Research output: Contribution to journalArticle

5 Citations (Scopus)
11 Downloads (Pure)

Abstract

In this paper 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 verify the recently voiced suspicion that the order parameter like behaviour of the standard magnetic susceptibility χm seen in previous Metropolis simulations was an artefact of the algorithm failing to explore the phase space of the macroscopically degenerate low-temperature phase. χm is therefore not a suitable order parameter for the model.
Original languageEnglish
Pages (from-to)1-14
Number of pages14
JournalNuclear Physics B
Volume894
Issue number1
Early online date3 Mar 2015
DOIs
Publication statusPublished - May 2015

Keywords

  • Statistical mechanics
  • Phase transitions

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