dorsal/arxiv
View SchemaCluster formation in complex multi-scale systems
| Authors | J. D. Gibbon, E. S. Titi |
|---|---|
| Categories | |
| ArXiv ID | physics/0501015 |
| URL | https://arxiv.org/abs/physics/0501015 |
| DOI | 10.1098/rspa.2005.1548 |
Abstract
Based on the competition between members of a hierarchy of length scales in complex multi-scale systems, it is shown how clustering of active quantities into concentrated sets, like bubbles in a Swiss cheese, is a generic property that dominates the intermittent structure. The halo-like surfaces of these clusters have scaling exponents lower than that of their kernels, which can be as high as the domain dimension. Examples include spots in fluid turbulence and droplets in spin-glasses.
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"abstract": "Based on the competition between members of a hierarchy of length scales in\ncomplex multi-scale systems, it is shown how clustering of active quantities\ninto concentrated sets, like bubbles in a Swiss cheese, is a generic property\nthat dominates the intermittent structure. The halo-like surfaces of these\nclusters have scaling exponents lower than that of their kernels, which can be\nas high as the domain dimension. Examples include spots in fluid turbulence and\ndroplets in spin-glasses.",
"arxiv_id": "physics/0501015",
"authors": [
"J. D. Gibbon",
"E. S. Titi"
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"physics.flu-dyn"
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"doi": "10.1098/rspa.2005.1548",
"title": "Cluster formation in complex multi-scale systems",
"url": "https://arxiv.org/abs/physics/0501015"
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