摘要翻译：
由于加入了很低的自发成核速率，由相变到吸收态的模型出现了滞后环，其宽度δλ代数上依赖于斜坡速率R$。分析论证和数值模拟表明，$\delta\lambda\sim r^{\kappa}$与$\kappa=1/(\beta'+1)$,其中$\beta'$是控制种子在阈值附近存活概率的临界指数。这些结果解释了以前在液晶对流实验中观察到的类似滞后标度。这种现象被推测在其他各种实验系统中也会发生。
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英文标题：
《Scaling of hysteresis loops at phase transitions into a quasiabsorbing
  state》
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作者：
Kazumasa A. Takeuchi
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最新提交年份：
2008
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分类信息：

一级分类：Physics        物理学
二级分类：Statistical Mechanics        统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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英文摘要：
  Models undergoing a phase transition to an absorbing state weakly broken by the addition of a very low spontaneous nucleation rate are shown to exhibit hysteresis loops whose width $\Delta\lambda$ depends algebraically on the ramp rate $r$. Analytical arguments and numerical simulations show that $\Delta\lambda \sim r^{\kappa}$ with $\kappa = 1/(\beta'+1)$, where $\beta'$ is the critical exponent governing the survival probability of a seed near threshold. These results explain similar hysteresis scaling observed before in liquid crystal convection experiments. This phenomenon is conjectured to occur in a variety of other experimental systems.
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PDF链接：
https://arxiv.org/pdf/706.4152