纯格点角面伊辛模型及其对偶的多典范分析
Multicanonical analysis of the plaquette-only gonihedric Ising model and its dual
摘要：
研究了三维纯格构角面伊辛模型及其对偶模型，解决了文献中关于温度驱动的一阶相变的反相变温度值的不一致性.这个模型的多规范模拟使我们能够测量被抑制了60多个数量级的系统配置相比，可能的状态。与由此产生的高精度数据，我们发现我们最近提出的非标准的有限尺寸标度法律的模型与宏观退化的低温相通过挑战的前因子数值非常吻合。我们发现一个整体一致的逆转变温度为0.551334（8）从原始模型的模拟与周期性和固定的边界条件，和对偶模型与周期性边界条件。对于具有周期性边界条件的原始模型，我们使用抑制组态的统计数据获得了界面张力的第一个可靠估计值0.12037（18）。
英文摘要：
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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