中国物理B ›› 2011, Vol. 20 ›› Issue (5): 50501-050501.doi: 10.1088/1674-1056/20/5/050501

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Steady-state probability density function in wave turbulence under large volume limit

Sang Gyu Jo1, Yeontaek Choi2   

  1. (1)Department of Physics, Kyungpook National University, Daegu 702-701, Republic of Korea; (2)Division of Fusion and Convergence of Mathematical Sciences, National Institute for Mathematical Sciences, Daejeon 305-340, Republic of Korea
  • 收稿日期:2010-08-19 修回日期:2011-01-04 出版日期:2011-05-15 发布日期:2011-05-15
  • 基金资助:
    Project supported by the Korean Research Foundation of the Korea Government (MEST) (Grant No. 2009-0073081).

Steady-state probability density function in wave turbulence under large volume limit

Yeontaek Choia, Sang Gyu Job   

  1. 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
  • Received:2010-08-19 Revised:2011-01-04 Online:2011-05-15 Published:2011-05-15
  • Supported by:
    Project supported by the Korean Research Foundation of the Korea Government (MEST) (Grant No. 2009-0073081).

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摘要： 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.

关键词: wave turbulence, probability flux, multi-mode probability density function, Larguerre equation

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.

Key words: wave turbulence, probability flux, multi-mode probability density function, Larguerre equation

中图分类号:  (Statistical mechanics of classical fluids)

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