摘要翻译：
我们证明了在非平衡动力学粗糙化模型中，与时间相关的耦合可能导致渐近区域表面涨落的非平凡标度性质。研究了三种典型情况。在两个不同粗糙区域的交叉情况下，与时间相关的耦合可能导致超过交叉长度的尺度的反常标度。在不同的设置中，对于从粗糙到平坦或阻尼状态的交叉，与时间相关的交叉长度可能会产生粗糙表面，尽管最相关的项倾向于平坦表面。此外，我们的分析揭示了在自发吸胀问题中存在的一个争论，即在理论模型和实验中，随时间变化的耦合是自然产生的。
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英文标题：
《Time dependent couplings and crossover length scales in non-equilibrium
  surface roughening》
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作者：
Marc Pradas, Juan M. L\'opez and A. Hern\'andez-Machado
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最新提交年份：
2007
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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：
  We show that time dependent couplings may lead to nontrivial scaling properties of the surface fluctuations of the asymptotic regime in non-equilibrium kinetic roughening models . Three typical situations are studied. In the case of a crossover between two different rough regimes, the time-dependent coupling may result in anomalous scaling for scales above the crossover length. In a different setting, for a crossover from a rough to either a flat or damping regime, the time dependent crossover length may conspire to produce a rough surface, despite the most relevant term tends to flatten the surface. In addition, our analysis sheds light into an existing debate in the problem of spontaneous imbibition, where time dependent couplings naturally arise in theoretical models and experiments.
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PDF链接：
https://arxiv.org/pdf/706.3596