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Steady-state probability density function in wave turbulence under large volume limit
Authors:Yeontaek Choi and Sang Gyu Jo
Institution:Division of Fusion and Convergence of Mathematical Sciences, National Institute for Mathematical Sciences, Daejeon 305-340, Republic of Korea;Department of Physics, Kyungpook National University, Daegu 702-701, Republic of Korea
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.
Keywords:wave turbulence  probability flux  multi-mode probability density function  Larguerre equation
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