Dynamical scaling analysis of phase transition and critical properties for the RP2 model in two dimensions
Dynamical scaling analysis of phase transition and critical properties for the RP2 model in two dimensions
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二维 RP2 模型相变和关键特性的动态标度分析
DOI：
10.1103/physreve.99.012116
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发表时间：
2019
影响因子：
2.4
通讯作者：
and Yuki Echinaka
中科院分区：
文献类型：
--
作者：
Yukiyasu Ozeki;Atsuyuki Matsuda;and Yuki Echinaka
通过非平衡弛豫方法（NER）和动态尺度分析研究了二维模型的相变和临界性质。通过蒙特卡罗模拟观察到向列序从全对准状态的弛豫。动态标度分析考虑了转变点周围弛豫时间渐近形式的类型比较，清楚地区分了Kosterlitz-Thouless (KT)型转变和二阶转变。利用涨落弛豫，在 KT 转变温度及以下估计静态临界指数和动态临界指数（它们只是 KT 转变的固有指数）。结果表明，二维铁磁模型与 KT 相中观察到的行为相似，被认为是典型的 KT 系统，并证实了当前的 KT 转变。
The phase transition and critical properties for themodel in two dimensions is investigated by means of the nonequilibrium relaxation method (NER) together with the dynamical scaling analysis. The relaxation of nematic order from the all-aligned state is observed by Monte Carlo simulations. The comparison of types of the asymptotic form of the relaxation time around the transition point is considered by the dynamical scaling analysis, which clearly discriminates the Kosterlitz-Thouless (KT)-type transition from the second-order one. Using the relaxation of fluctuation, the static critical exponentand the dynamical one, which are only the intrinsic exponents for the KT transition, are estimated at and below the KT transition temperature. The result shows similar behaviors with those observed in the KT phase for the ferromagneticmodel in two dimensions, which has been recognized as a typical KT system, and reveals the confirmation of the present KT transition.