Scaling Behavior of Fractional Growth Processes
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866914693451350016 |
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| author | Torabi, Reza |
| author_facet | Torabi, Reza |
| contents | An exact solution is introduced for one dimensional space-fractional Edwards-Wilkinson equation. It is shown that the roughness obeys the Family-Viscek dynamic scaling form and the scaling exponents is derived. It is seen that the scaling exponents are different from those coming from ordinary Edwards-Wilkinson equation and depend on the fractional order. Scaling exponents in the presence of correlated noise is also obtained. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_17798 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Scaling Behavior of Fractional Growth Processes Torabi, Reza Statistical Mechanics An exact solution is introduced for one dimensional space-fractional Edwards-Wilkinson equation. It is shown that the roughness obeys the Family-Viscek dynamic scaling form and the scaling exponents is derived. It is seen that the scaling exponents are different from those coming from ordinary Edwards-Wilkinson equation and depend on the fractional order. Scaling exponents in the presence of correlated noise is also obtained. |
| title | Scaling Behavior of Fractional Growth Processes |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2402.17798 |