%0 Journal Article %T Planar ordering in the plaquette-only gonihedric Ising model %A Marco Mueller %A Wolfhard Janke %A Desmond A. Johnston %J Physics %D 2014 %I arXiv %R 10.1016/j.nuclphysb.2015.02.020 %X 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 $\chi_m$ seen in previous Metropolis simulations was an artefact of the algorithm failing to explore the phase space of the macroscopically degenerate low-temperature phase. $\chi_m$ is therefore not a suitable order parameter for the model. %U http://arxiv.org/abs/1412.4426v2