论文标题
在具有两种对称吸收状态的一维系统中吸收相变的订单参数关键指数
Order-parameter critical exponent of absorbing phase transitions in one-dimensional systems with two symmetric absorbing states
论文作者
论文摘要
通过广泛的蒙特卡洛模拟以及对缩放缩放的系统分析，我们估计了具有两个对称吸收状态的系统中的临界参数临界指数$β$。 $β$的值推测为$ \ frac {13} {14} \约0.93 $，文献中的蒙特卡洛模拟研究反复再现了与猜想一致的值。在本文中，我们通过分析有效指数在发现缩放的校正程度后，系统地估计$β$。我们表明，$β$的广泛接受的数值不正确。相反，我们从具有两个对称吸收状态的不同模型中获得$β= 1.020（5）$。
Via extensive Monte Carlo simulations along with systematic analyses of corrections to scaling, we estimate the order parameter critical exponent $β$ of absorbing phase transitions in systems with two symmetric absorbing states. The value of $β$ was conjectured to be $\frac{13}{14}\approx 0.93$ and Monte Carlo simulation studies in the literature have repeatedly reproduced values consistent with the conjecture. In this paper, we systematically estimate $β$ by analyzing the effective exponent after finding how strong corrections to scaling are. We show that the widely accepted numerical value of $β$ is not correct. Rather, we obtain $β= 1.020(5)$ from different models with two symmetric absorbing states.
