摘要翻译：
我们研究了无序介质中的扩展前沿，它们属于润湿接触线和平面拉伸裂纹前沿的普遍性类别。我们从第一性原理出发，利用裂纹前沿的广义Griffith准则和接触线的三个标准迁移率定律，导出了它们的非线性方程。然后用自洽展开法研究了它们的粗糙度。当忽略断裂和润湿过程的不可逆性时，我们发现了一个可能的动态粗糙相，粗糙度指数为$\Zeta=1/2$，动态指数为Z=2。当考虑不可逆性时，我们得出前向传播可以成为历史相关的，因此我们认为粗糙度指数的下界是$\zeta=1/2$。有趣的是，对于不可逆性弱于裂缝的润湿传播接触线，实验结果接近0.5，而对于裂缝，报道的值更高，为0.55～0.65。
---
英文标题：
《Roughness of moving elastic lines - crack and wetting fronts》
---
作者：
E. Katzav, M. Adda-Bedia, M. Ben Amar and A. Boudaoud
---
最新提交年份：
2007
---
分类信息：

一级分类：Physics        物理学
二级分类：Materials Science        材料科学
分类描述：Techniques, synthesis, characterization, structure.  Structural phase transitions, mechanical properties, phonons. Defects, adsorbates, interfaces
技术，合成，表征，结构。结构相变，力学性质，声子。缺陷，吸附质，界面
--
一级分类：Physics        物理学
二级分类：Disordered Systems and Neural Networks        无序系统与神经网络
分类描述：Glasses and spin glasses; properties of random, aperiodic and quasiperiodic systems; transport in disordered media; localization; phenomena mediated by defects and disorder; neural networks
眼镜和旋转眼镜；随机、非周期和准周期系统的性质；无序介质中的传输；本地化；由缺陷和无序介导的现象；神经网络
--
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
--

---
英文摘要：
  We investigate propagating fronts in disordered media that belong to the universality class of wetting contact lines and planar tensile crack fronts. We derive from first principles their nonlinear equations of motion, using the generalized Griffith criterion for crack fronts and three standard mobility laws for contact lines. Then we study their roughness using the self-consistent expansion. When neglecting the irreversibility of fracture and wetting processes, we find a possible dynamic rough phase with a roughness exponent of $\zeta=1/2$ and a dynamic exponent of z=2. When including the irreversibility, we conclude that the front propagation can become history dependent, and thus we consider the value $\zeta=1/2$ as a lower bound for the roughness exponent. Interestingly, for propagating contact line in wetting, where irreversibility is weaker than in fracture, the experimental results are close to 0.5, while for fracture the reported values of 0.55--0.65 are higher.
---
PDF链接：
https://arxiv.org/pdf/707.4453