dorsal/arxiv
View SchemaThermally Induced Fluctuations Below the Onset of Rayleigh-B\'enard Convection
| Authors | Mingming Wu, Guenter Ahlers, David S. Cannell |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9502002 |
| URL | https://arxiv.org/abs/patt-sol/9502002 |
| DOI | 10.1103/PhysRevLett.75.1743 |
Abstract
We report quantitative experimental results for the intensity of noise-induced fluctuations below the critical temperature difference $\Delta T_c$ for Rayleigh-B\'enard convection. The structure factor of the fluctuating convection rolls is consistent with the expected rotational invariance of the system. In agreement with predictions based on stochastic hydrodynamic equations, the fluctuation intensity is found to be proportional to $1/\sqrt{-\epsilon}$ where $\epsilon \equiv \Delta T / \Delta T_c -1$. The noise power necessary to explain the measurements agrees with the prediction for thermal noise. (WAC95-1)
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"abstract": "We report quantitative experimental results for the intensity of\nnoise-induced fluctuations below the critical temperature difference $\\Delta\nT_c$ for Rayleigh-B\\\u0027enard convection. The structure factor of the fluctuating\nconvection rolls is consistent with the expected rotational invariance of the\nsystem. In agreement with predictions based on stochastic hydrodynamic\nequations, the fluctuation intensity is found to be proportional to\n$1/\\sqrt{-\\epsilon}$ where $\\epsilon \\equiv \\Delta T / \\Delta T_c -1$. The\nnoise power necessary to explain the measurements agrees with the prediction\nfor thermal noise. (WAC95-1)",
"arxiv_id": "patt-sol/9502002",
"authors": [
"Mingming Wu",
"Guenter Ahlers",
"David S. Cannell"
],
"categories": [
"patt-sol",
"nlin.PS"
],
"doi": "10.1103/PhysRevLett.75.1743",
"title": "Thermally Induced Fluctuations Below the Onset of Rayleigh-B\\\u0027enard Convection",
"url": "https://arxiv.org/abs/patt-sol/9502002"
},
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