具有一般尺度不变性的二维表面中的强各向异性：高斯和相关模型
Strong anisotropy in two-dimensional surfaces with generic scale invariance: Gaussian and related models
摘要：
在显示通用尺度不变性的系统中，那些渐近性质在空间上各向异性（强各向异性，SA）的系统受到了相对较小的关注，特别是在二维表面的动力学粗糙化的背景下。这与它们在实验中的普遍性形成对比，例如在通过不同技术生产薄膜的背景下。基于可积（线性）的情况下的确切结果，在这里，我们制定了SA的Anastomy，虽然相当于现有的借用平衡临界现象，是更自然地适应的类型的观测量，在实验中测量的动态薄膜，如一维和二维的高度结构因素。我们测试我们的Anastrophic上的一个典型的非线性随机方程显示强各向异性像Hwa-Kardar方程[物理。62，1813（1989）]，这是最初提出来描述流砂桩的界面动力学。一个非常重要的作用，阐明其SA属性是通过一个精确的（高斯）近似通过一个非局部线性方程，共享相同的渐近性质。
英文摘要：
Among systems that display generic scale invariance, those whose asymptotic properties are anisotropic in space (strong anisotropy, SA) have received a relatively smaller attention, specially in the context of kinetic roughening for two-dimensional surfaces. This is in contrast with their experimental ubiquity, e.g. in the context of thin film production by diverse techniques. Based on exact results for integrable (linear) cases, here we formulate a SA Ansatz that, albeit equivalent to existing ones borrowed from equilibrium critical phenomena, is more naturally adapted to the type of observables that are measured in experiments on the dynamics of thin films, such as one and two-dimensional height structure factors. We test our Ansatz on a paradigmatic nonlinear stochastic equation displaying strong anisotropy like the Hwa-Kardar equation [Phys. Rev. Lett. 62, 1813 (1989)], that was initially proposed to describe the interface dynamics of running sand piles. A very important role to elucidate its SA properties is played by an accurate (Gaussian) approximation through a non-local linear equation that shares the same asymptotic properties.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
