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The three-dimensional purely plaquette gonihedric Ising model and its dualare investigated to resolve inconsistencies in the literature for the values ofthe inverse transition temperature of the very strong temperature-drivenfirst-order phase transition that is apparent in the system. Multicanonicalsimulations of this model allow us to measure system configurations that aresuppressed by more than 60 orders of magnitude compared to probable states.With the resulting high-precision data, we find excellent agreement with ourrecently proposed nonstandard finite-size scaling laws for models with amacroscopic degeneracy of the low-temperature phase by challenging theprefactors numerically. We find an overall consistent inverse transitiontemperature of 0.551334(8) from the simulations of the original model both withperiodic and fixed boundary conditions, and the dual model with periodicboundary conditions. For the original model with periodic boundary conditions,we obtain the first reliable estimate of the interface tension, 0.12037(18),using the statistics of suppressed configurations.

Multicanonical analysis of the plaquette-only gonihedric Ising model and its dual