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

Scientific Reports
C P de CastroH J Herrmann

Abstract

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.

References

Aug 15, 1992·Physical Review. a·S PrakashH E Stanley
Aug 1, 1993·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·K B LauritsenH J Herrmann
May 1, 1996·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·H A MakseH E Stanley
Jun 5, 1995·Physical Review Letters·J Kondev, C L Henley
Nov 1, 2000·Physical Review Letters·M E Newman, R M Ziff
Jul 20, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·M E Newman, R M Ziff
Apr 12, 2003·Physical Review Letters·Jaan Kalda
Mar 16, 2007·Physical Review Letters·D BernardG Falkovich
May 24, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·E A OliveiraJ S Andrade
Aug 27, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·P A MoraisJ S Andrade
Nov 9, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·E FehrH J Herrmann
Apr 4, 2012·Scientific Reports·K J SchrenkH J Herrmann
Oct 23, 2012·Nature Materials·B Gotsmann, M A Lantz
Dec 12, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·T A de AssisR F S Andrade
Dec 12, 2012·Physical Review Letters·E DaryaeiH J Herrmann
Dec 18, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·K J SchrenkH J Herrmann
Mar 11, 2016·Scientific Reports·I GiordanelliH J Herrmann
Apr 23, 2016·PloS One·Lei JiangLu Wang

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Citations

Aug 28, 2021·Nanomaterials·Niloufar Pirouzfam, Kursat Sendur

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