Alés Alejandro, López Juan M
Instituto de Investigaciones Físicas de Mar del Plata (IFIMAR), Facultad de Ciencias Exactas y Naturales, Universidad Nacional de Mar del Plata, Consejo Nacional de Investigaciones Científicas y Técnicas(CONICET), Deán Funes 3350, B7602AYL Mar del Plata, Argentina.
Instituto de Física de Cantabria (IFCA), CSIC-Universidad de Cantabria, 39005 Santander, Spain.
Phys Rev E. 2019 Jun;99(6-1):062139. doi: 10.1103/PhysRevE.99.062139.
We investigate Kardar-Parisi-Zhang (KPZ) surface growth in the presence of power-law temporally correlated noise. By means of extensive numerical simulations of models in the KPZ universality class we find that, as the noise correlator index increases above some threshold value, the surface exhibits anomalous kinetic roughening of the type described by the generic scaling theory of Ramasco et al. [Phys. Rev. Lett. 84, 2199 (2000)PRLTAO0031-900710.1103/PhysRevLett.84.2199]. Remarkably, as the driving noise temporal correlations increase, the surface develops a characteristic pattern of macroscopic facets that completely dominates the dynamics in the long time limit. We argue that standard scaling fails to capture the behavior of KPZ subject to long-range temporally correlated noise. These phenomena are not not described by the existing theoretical approaches, including renormalization group and self-consistent approaches.
我们研究了存在幂律时间相关噪声时的 Kardar-Parisi-Zhang（KPZ）表面生长。通过对 KPZ 普适类模型进行广泛的数值模拟，我们发现，当噪声关联指数增加到某个阈值以上时，表面会呈现出由 Ramasco 等人的通用标度理论所描述的那种反常动力学粗糙化 [《物理评论快报》84, 2199 (2000)PRLTAO0031 - 900710.1103/PhysRevLett.84.2199]。值得注意的是，随着驱动噪声时间相关性的增加，表面会形成一种宏观小平面的特征图案，在长时间极限下完全主导动力学。我们认为标准标度无法捕捉受长程时间相关噪声影响的 KPZ 的行为。这些现象无法用包括重整化群和自洽方法在内的现有理论方法来描述。
