The influence of statistical properties of Fourier coefficients on random Gaussian surfaces
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...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Nature Portfolio
2017-05-01
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| Series: | Scientific Reports |
| Online Access: | https://doi.org/10.1038/s41598-017-02135-y |
| _version_ | 1819040117317173248 |
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| author | C. P. de Castro M. Luković R. F. S. Andrade H. J. Herrmann |
| author_facet | C. P. de Castro M. Luković R. F. S. Andrade H. J. Herrmann |
| author_sort | C. P. de Castro |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-21T09:04:00Z |
| format | Article |
| id | doaj.art-76aa29f6afbf4fbfa4590f42e60ea903 |
| institution | Directory Open Access Journal |
| issn | 2045-2322 |
| language | English |
| last_indexed | 2024-12-21T09:04:00Z |
| publishDate | 2017-05-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj.art-76aa29f6afbf4fbfa4590f42e60ea9032022-12-21T19:09:25ZengNature PortfolioScientific Reports2045-23222017-05-01711810.1038/s41598-017-02135-yThe influence of statistical properties of Fourier coefficients on random Gaussian surfacesC. P. de Castro0M. Luković1R. F. S. Andrade2H. J. Herrmann3Instituto de Física, Universidade Federal da Bahia, Campus Universitário da FederaçãoComputational Physics for Engineering Materials, IfB, ETH ZurichInstituto de Física, Universidade Federal da Bahia, Campus Universitário da FederaçãoComputational Physics for Engineering Materials, IfB, ETH ZurichAbstract 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.https://doi.org/10.1038/s41598-017-02135-y |
| spellingShingle | C. P. de Castro M. Luković R. F. S. Andrade H. J. Herrmann The influence of statistical properties of Fourier coefficients on random Gaussian surfaces Scientific Reports |
| title | The influence of statistical properties of Fourier coefficients on random Gaussian surfaces |
| title_full | The influence of statistical properties of Fourier coefficients on random Gaussian surfaces |
| title_fullStr | The influence of statistical properties of Fourier coefficients on random Gaussian surfaces |
| title_full_unstemmed | The influence of statistical properties of Fourier coefficients on random Gaussian surfaces |
| title_short | The influence of statistical properties of Fourier coefficients on random Gaussian surfaces |
| title_sort | influence of statistical properties of fourier coefficients on random gaussian surfaces |
| url | https://doi.org/10.1038/s41598-017-02135-y |
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