The influence of statistical properties of Fourier coefficients on random Gaussian surfaces

被引：9
作者：
de Castro, C. P. [1 ,2 ]
Lukovic, M. [2 ]
Andrade, R. F. S. [1 ]
Herrmann, H. J. [2 ,3 ]
机构：
[1] Univ Fed Bahia, Inst Fis, Campus Univ Federacao, BR-40170115 Salvador, BA, Brazil
[2] Swiss Fed Inst Technol, IfB, Computat Phys Engn Mat, Wolfgang Pauli Str 27, CH-8093 Zurich, Switzerland
[3] Univ Fed Ceara, Dept Fis, BR-60451970 Fortaleza, Ceara, Brazil
来源：
SCIENTIFIC REPORTS | 2017年 / 7卷
基金：
欧洲研究理事会;
关键词：
CONFORMAL-INVARIANCE; PERCOLATION; EXPONENTS; GROWTH; TOPOGRAPHY; TRANSPORT;
D O I：
10.1038/s41598-017-02135-y
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
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.
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收藏
页数：8
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