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 ISSN 0031-9015.

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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, Engineering and Medicine > 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:	Date Event August 2009 Published
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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