论文标题
ISING模型中的弹性主链相变
The elastic backbone phase transition in the Ising model
论文作者
论文摘要
已知二维（零磁场）ISING模型经历了二阶para-Forromagnetic相变，并伴随着Fortuin-Kasteleyn（FK）簇的相关渗透转变。在本文中，我们发现存在第二温度$ t _ {\ text {eb}} <t_c $，其中FK簇的弹性骨架经历了二阶阶段过渡到密集相。 The corresponding universality class, which is characterized by determining various percolation exponents, is shown to be completely different from directed percolation, proposing a new anisotropic universality class with $β=0.54\pm 0.02$, $ν_{||}=1.86\pm 0.01$, $ν_{\perp}=1.21\pm 0.04$ and $ d_f = 1.53 \ pm 0.03 $。所有测试过的超级缩放关系均显示为有效。
The two-dimensional (zero magnetic field) Ising model is known to undergo a second order para-ferromagnetic phase transition, which is accompanied by a correlated percolation transition for the Fortuin-Kasteleyn (FK) clusters. In this paper we uncover that there exists also a second temperature $T_{\text{eb}}<T_c$ at which the elastic backbone of FK clusters undergoes a second order phase transition to a dense phase. The corresponding universality class, which is characterized by determining various percolation exponents, is shown to be completely different from directed percolation, proposing a new anisotropic universality class with $β=0.54\pm 0.02$, $ν_{||}=1.86\pm 0.01$, $ν_{\perp}=1.21\pm 0.04$ and $d_f=1.53\pm 0.03$. All tested hyper-scaling relations are shown to be valid.
