Universal fluctuations of global geometrical measurements in planar clusters
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866914745640026112 |
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| author | Santalla, Silvia N. Domenech, Iván Álvarez Villarrubia, Daniel Cuerno, Rodolfo Rodríguez-Laguna, Javier |
| author_facet | Santalla, Silvia N. Domenech, Iván Álvarez Villarrubia, Daniel Cuerno, Rodolfo Rodríguez-Laguna, Javier |
| contents | We characterize universal features of the sample-to-sample fluctuations of global geometrical observables, such as the area, width, length, and center-of-mass position, in random growing planar clusters. Our examples are taken from simulations of both continuous and discrete models of kinetically rough interfaces, including several universality classes, such as Kardar-Parisi-Zhang. We mostly focus on the scaling behavior with time of the sample-to-sample deviation for those global magnitudes, but we have also characterized their histograms and correlations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_15275 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Universal fluctuations of global geometrical measurements in planar clusters Santalla, Silvia N. Domenech, Iván Álvarez Villarrubia, Daniel Cuerno, Rodolfo Rodríguez-Laguna, Javier Statistical Mechanics We characterize universal features of the sample-to-sample fluctuations of global geometrical observables, such as the area, width, length, and center-of-mass position, in random growing planar clusters. Our examples are taken from simulations of both continuous and discrete models of kinetically rough interfaces, including several universality classes, such as Kardar-Parisi-Zhang. We mostly focus on the scaling behavior with time of the sample-to-sample deviation for those global magnitudes, but we have also characterized their histograms and correlations. |
| title | Universal fluctuations of global geometrical measurements in planar clusters |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2311.15275 |