高简并Potts粗化
High-degeneracy Potts coarsening
摘要:
我研究的命运动力波茨铁磁体与高基态简并,经历了深淬火到零温度。考虑线性维数为$8 \le L \le 128$的三角晶格上的单自旋翻转动力学,并将自旋态$q$的数目设为等于晶格位置$L \times L$的数目。基态是最丰富的最终状态,并且以概率$\approx 0.71$达到。三个六边形状态的出现概率为$\approx 0.26$,多于三个簇的六边形镶嵌的形成概率为$\mathcal{O}(10^{-3})$或更小。跨越条纹状态--畴壁沿三个晶格方向之一延伸--的出现概率为$\approx 0.03$。包含永久可翻转自旋的“闪烁器”配置也会出现,但随着系统尺寸的增加,这种概率微乎其微。
英文摘要:
I examine the fate of a kinetic Potts ferromagnet with a high ground-state degeneracy that undergoes a deep quench to zero-temperature. I consider single spin-flip dynamics on triangular lattices of linear dimension $8 \le L \le 128$ and set the number of spin states $q$ equal to the number of lattice sites $L \times L$. The ground state is the most abundant final state, and is reached with probability $\approx 0.71$. Three-hexagon states occur with probability $\approx 0.26$, and hexagonal tessellations with more than three clusters form with probabilities of $\mathcal{O}(10^{-3})$ or less. Spanning stripe states -- where the domain walls run along one of the three lattice directions -- appear with probability $\approx 0.03$. "Blinker" configurations, which contain perpetually flippable spins, also emerge, but with a probability that is vanishingly small with the system size.
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