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Steady-state probability density function in wave turbulence under large volume limit |
| Yeontaek Choia, Sang Gyu Job |
| a Division of Fusion and Convergence of Mathematical Sciences, National Institute for Mathematical Sciences, Daejeon 305-340, Republic of Korea; b Department of Physics, Kyungpook National University, Daegu 702-701, Republic of Korea |
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Abstract We investigate the possibility for two-mode probability density function (PDF) to have a non-zero flux steady state solution. We take the large volume limit so that the space of modes becomes continuous. It is shown that in this limit all the steady-state two- or higher-mode PDFs are the product of one-mode PDFs. The flux of this steady-state solution turns out to be zero for any finite mode PDF.
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Received: 19 August 2010
Revised: 04 January 2011
Accepted manuscript online:
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PACS:
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05.20.Jj
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(Statistical mechanics of classical fluids)
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| Fund: Project supported by the Korean Research Foundation of the Korea Government (MEST) (Grant No. 2009-0073081). |
Cite this article:
Yeontaek Choi, Sang Gyu Jo Steady-state probability density function in wave turbulence under large volume limit 2011 Chin. Phys. B 20 050501
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