dorsal/arxiv
View SchemaStatistics for transition of a plasma turbulence with multiple characteristic scales
| Authors | Mitsuhiro Kawasaki, Sanae-I. Itoh, Kimitaka Itoh |
|---|---|
| Categories | |
| ArXiv ID | physics/0302021 |
| URL | https://arxiv.org/abs/physics/0302021 |
Abstract
Subcritical transition of an inhomogeneous plasma where turbulences with different characteristic space-time scales coexist is analyzed with methods of statistical physics of turbulences. We derived the development equations of the probability density function (PDF) of the spectrum amplitudes of the fluctuating electro-static potential. By numerically solving the equations, the steady state PDFs were obtained. Although the subcritical transition is observed when the turbulent fluctuations are ignored, the PDF shows that the transition is smeared out by the turbulent fluctuations. It means that the approximation ignoring the turbulent fluctuations employed by traditional transition theories could overestimate the range where hysteresis is observed and statistical analyses are inevitably needed.
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"abstract": "Subcritical transition of an inhomogeneous plasma where turbulences with\ndifferent characteristic space-time scales coexist is analyzed with methods of\nstatistical physics of turbulences. We derived the development equations of the\nprobability density function (PDF) of the spectrum amplitudes of the\nfluctuating electro-static potential. By numerically solving the equations, the\nsteady state PDFs were obtained. Although the subcritical transition is\nobserved when the turbulent fluctuations are ignored, the PDF shows that the\ntransition is smeared out by the turbulent fluctuations. It means that the\napproximation ignoring the turbulent fluctuations employed by traditional\ntransition theories could overestimate the range where hysteresis is observed\nand statistical analyses are inevitably needed.",
"arxiv_id": "physics/0302021",
"authors": [
"Mitsuhiro Kawasaki",
"Sanae-I. Itoh",
"Kimitaka Itoh"
],
"categories": [
"physics.plasm-ph"
],
"title": "Statistics for transition of a plasma turbulence with multiple characteristic scales",
"url": "https://arxiv.org/abs/physics/0302021"
},
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