Wave turbulence is almost always intermittent at either small or large scales
UNSPECIFIED. (2002) Wave turbulence is almost always intermittent at either small or large scales. STUDIES IN APPLIED MATHEMATICS, 108 (1). pp. 39-64. ISSN 0022-2526Full text not available from this repository.
The asymptotic expansions for (1) the slow changes in particle number/energy density; namely, the kinetic equation, (2) frequency renormalization; and (3) the nth-order structure functions for wave turbulence systems are almost always nonuniform at either small or large length scales. The manifestation of this nonuniformity is fully nonlinear behavior either in the form of localized structures (coherent structures, shocks) or condensates (nonzero mean over large distances). The result is intermittent behavior dominated by large fluctuation events, anomolous scaling, and far from joint Gaussian statistics. Despite this unexpected surprise, and it is a surprise considering that wave turbulence has been the subject of continuous and intense investigation for several decades, wave turbulence still offers an advantage over systems that are nonlinear over all scales. The advantage is that the nature of the fully nonlinear behavior often can be identified, which gives us reasonable hope that wave turbulent systems may be treated as a two species gas of random wavetrains and randomly occurring coherent structures.
|Item Type:||Journal Article|
|Subjects:||Q Science > QA Mathematics|
|Journal or Publication Title:||STUDIES IN APPLIED MATHEMATICS|
|Official Date:||January 2002|
|Number of Pages:||26|
|Page Range:||pp. 39-64|
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