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Aspects of two-mode probability density function in weak wave turbulence
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Choi, Yeontaek, Jo, Sang Gyu, Kim, Ho Il and Nazarenko, Sergey (2009) Aspects of two-mode probability density function in weak wave turbulence. Journal of the Physical Society of Japan, Vol.78 (No.8). Article no. 084403. doi:10.1143/JPSJ.78.084403
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Official URL: http://dx.doi.org/10.1143/JPSJ.78.084403
Abstract
We derive the time evolution of the two-mode amplitude probability density function. Using this equation, we derive conditions for the existence of a zero flux steady-state solution. We also derive the equation for a vortex solution and show that the product of two one-mode steady-state solutions can be a two-mode steady-state solution only when an extra condition is satisfied. With this extra condition assumed, we plot the flux of probability vector on two mode's plane. It is shown that this flux lines circulate around the center (n(a), n(b)), which are the mean values of the two mode's amplitude square.
| Item Type: | Journal Article | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QC Physics | ||||
| Divisions: | Faculty of Science > Mathematics | ||||
| Journal or Publication Title: | Journal of the Physical Society of Japan | ||||
| Publisher: | Physical Society of Japan | ||||
| ISSN: | 0031-9015 | ||||
| Official Date: | August 2009 | ||||
| Dates: |
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| Volume: | Vol.78 | ||||
| Number: | No.8 | ||||
| Number of Pages: | 6 | ||||
| Page Range: | Article no. 084403 | ||||
| DOI: | 10.1143/JPSJ.78.084403 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published | ||||
| Access rights to Published version: | Restricted or Subscription Access | ||||
| Funder: | Kyungpook National University |
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