dorsal/arxiv
View SchemaDefect--Defect Correlation Functions, Generic Scale Invariance, and the Complex Ginzburg--Landau Equation
| Authors | Bruce W. Roberts, Eberhard Bodenschatz, James P. Sethna |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9504001 |
| URL | https://arxiv.org/abs/patt-sol/9504001 |
Abstract
Motivated by the idea of developing a ``hydrodynamic'' description of spatiotemporal chaos, we have investigated the defect--defect correlation functions in the defect turbulence regime of the two--dimensional, anisotropic complex Ginzburg--Landau equation. We compare our results with the predictions of generic scale invariance. Using the topological nature of the defects, we prove that defect--defect correlations cannot decay as slowly as predicted by generic scale invariance. We also present results on the fluctuations of the amplitude field $A$.
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"date_created": "2026-03-02T18:00:28.848000Z",
"date_modified": "2026-03-02T18:00:28.848000Z",
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"abstract": "Motivated by the idea of developing a ``hydrodynamic\u0027\u0027 description of\nspatiotemporal chaos, we have investigated the defect--defect correlation\nfunctions in the defect turbulence regime of the two--dimensional, anisotropic\ncomplex Ginzburg--Landau equation. We compare our results with the predictions\nof generic scale invariance. Using the topological nature of the defects, we\nprove that defect--defect correlations cannot decay as slowly as predicted by\ngeneric scale invariance. We also present results on the fluctuations of the\namplitude field $A$.",
"arxiv_id": "patt-sol/9504001",
"authors": [
"Bruce W. Roberts",
"Eberhard Bodenschatz",
"James P. Sethna"
],
"categories": [
"patt-sol",
"nlin.PS"
],
"title": "Defect--Defect Correlation Functions, Generic Scale Invariance, and the Complex Ginzburg--Landau Equation",
"url": "https://arxiv.org/abs/patt-sol/9504001"
},
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"variant": "snapshot-2026-03-01",
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