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

Abstract

The three-dimensional purely plaquette gonihedric Ising model and its dual are investigated to resolve inconsistencies in the literature for the values of the inverse transition temperature of the very strong temperature-driven first-order phase transition that is apparent in the system. Multicanonical simulations of this model allow us to measure system configurations that are suppressed by more than 60 orders of magnitude compared to probable states. With the resulting high-precision data, we find excellent agreement with our recently proposed nonstandard finite-size scaling laws for models with a macroscopic degeneracy of the low-temperature phase by challenging the prefactors numerically. We find an overall consistent inverse transition temperature of 0.551334(8) from the simulations of the original model both with periodic and fixed boundary conditions, and the dual model with periodic boundary 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.

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Cited by in corpus (8)

• Plaquette Ising models, degeneracy and scaling
• Non-Standard Finite-Size Scaling at First-Order Phase Transitions
• Exact solutions to plaquette Ising models with free and periodic boundaries
• Finite-size scaling of Monte Carlo simulations for the fcc Ising antiferromagnet: Effects of the low-temperature phase degeneracy
• First-order directional ordering transition in the three-dimensional compass model
• Planar ordering in the plaquette-only gonihedric Ising model
• (Four) Dual Plaquette 3D Ising Models
• Macroscopic Degeneracy and order in the 3d plaquette Ising model