论文标题
二维各向异性KPZ方程
Logarithmic superdiffusivity of the 2-dimensional anisotropic KPZ equation
论文作者
论文摘要
我们研究了二维kardar-parisi-zhang方程的各向异性变体，该变体与描述囊泡表面的生长有关，并具有高斯，对数较粗糙的固定状态。虽然民间传说的信念（基于一环重新归一化群）是该方程的缩放行为与（线性）Edwards-Wilkinson方程相同，但我们证明，相反，非线性诱导了对数超延长率的出现。这种现象的风味与二维流体和驱动粒子系统的超扩张性相似。
We study an anisotropic variant of the two-dimensional Kardar-Parisi-Zhang equation, that is relevant to describe growth of vicinal surfaces and has Gaussian, logarithmically rough, stationary states. While the folklore belief (based on one-loop Renormalization Group) is that the equation has the same scaling behaviour as the (linear) Edwards-Wilkinson equation, we prove that, on the contrary, the non-linearity induces the emergence of a logarithmic super-diffusivity. This phenomenon is similar in flavour to the super-diffusivity for two-dimensional fluids and driven particle systems.
