Steady-state probability density function in wave turbulence under large volume limit
Yeontaek Choia, Sang Gyu Job
aDivision of Fusion and Convergence of Mathematical Sciences, National Institute for Mathematical Sciences, Daejeon 305-340, Republic of Korea; bDepartment 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.
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