Instituto de Física, Universidade Federal da Bahia, Campus Universitário da Federação, Salvador, BA, 40170-115, Brazil.
Computational Physics for Engineering Materials, IfB, ETH Zurich, Wolfgang-Pauli-Strasse 27, CH-8093, Zurich, Switzerland.
Sci Rep. 2017 May 16;7(1):1961. doi: 10.1038/s41598-017-02135-y.
Many examples of natural systems can be described by random Gaussian surfaces. Much can be learned by analyzing the Fourier expansion of the surfaces, from which it is possible to determine the corresponding Hurst exponent and consequently establish the presence of scale invariance. We show that this symmetry is not affected by the distribution of the modulus of the Fourier coefficients. Furthermore, we investigate the role of the Fourier phases of random surfaces. In particular, we show how the surface is affected by a non-uniform distribution of phases.
许多自然系统都可以用随机高斯曲面来描述。通过分析曲面的傅里叶展开式，可以学到很多东西，从中可以确定相应的赫斯特指数，并因此确定尺度不变性的存在。我们表明，这种对称性不受傅里叶系数模分布的影响。此外，我们还研究了随机曲面的傅里叶相位的作用。特别是，我们展示了表面是如何受到相位不均匀分布的影响的。
