表征表面反应模型中一级和二级相变的另一种方法
An alternative method to characterize first- and second-order phase transitions in surface reaction models
摘要：
在这项工作中，我们重新Ziff-Gulari-Barshad（ZGB）模型研究其相变和临界指数，通过时间相关的蒙特卡罗模拟。我们使用了最近提出的方法来定位非平衡二阶相变，并已成功地用于系统定义的哈密顿量和吸收状态。这种方法，这是基于优化的序参量的决定系数，能够表征的二阶相变的模型，以及其上旋节点，一个伪临界点位于附近的一阶转变。静态临界指数$β$，$ν_{\parallel }$，和$ν_{\perp }$，以及动态临界指数$θ$和$z$的二阶点的估计，并在很好的协议与文献中发现的结果。
英文摘要：
In this work, we revisited the Ziff-Gulari-Barshad (ZGB) model to study its phase transitions and critical exponents through time-dependent Monte Carlo simulations. We used a method proposed recently to locate the non-equilibrium second-order phase transitions and that has been successfully used in systems with defined Hamiltonians and with absorbing states. This method, which is based on optimization of the coefficient of determination of the order parameter, was able to characterize the second-order phase transition of the model, as well as its upper spinodal point, a pseudo-critical point located near the first-order transition. The static critical exponents $β$, $ν_{\parallel }$, and $ν_{\perp }$, as well as the dynamic critical exponents $θ$ and $z$ for the second-order point were also estimated and are in excellent agreement with results found in literature.
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