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Discrete and mesoscopic regimes of finite-size wave turbulence
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L'vov, V. S. and Nazarenko, Sergey (2010) Discrete and mesoscopic regimes of finite-size wave turbulence. Physical Review E, Vol.82 (No.5). Article: 056322 . doi:10.1103/PhysRevE.82.056322 ISSN 1539-3755.
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Official URL: http://dx.doi.org/10.1103/PhysRevE.82.056322
Abstract
Bounding volume results in discreteness of eigenmodes in wave systems. This leads to a depletion or complete loss of wave resonances (three-wave, four-wave, etc.), which has a strong effect on wave turbulence (WT) i.e., on the statistical behavior of broadband sets of weakly nonlinear waves. This paper describes three different regimes of WT realizable for different levels of the wave excitations: discrete, mesoscopic and kinetic WT. Discrete WT comprises chaotic dynamics of interacting wave "clusters" consisting of discrete (often finite) number of connected resonant wave triads (or quarters). Kinetic WT refers to the infinite-box theory, described by well-known wave-kinetic equations. Mesoscopic WT is a regime in which either the discrete and the kinetic evolutions alternate or when none of these two types is purely realized. We argue that in mesoscopic systems the wave spectrum experiences a sandpile behavior. Importantly, the mesoscopic regime is realized for a broad range of wave amplitudes which typically spans over several orders on magnitude, and not just for a particular intermediate level.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QC Physics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Physical Review E | ||||
Publisher: | American Physical Society | ||||
ISSN: | 1539-3755 | ||||
Official Date: | 19 November 2010 | ||||
Dates: |
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Volume: | Vol.82 | ||||
Number: | No.5 | ||||
Number of Pages: | 11 | ||||
Page Range: | Article: 056322 | ||||
DOI: | 10.1103/PhysRevE.82.056322 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access | ||||
Funder: | EU, US-Israel BSF | ||||
Grant number: | 228464, 2008110 |
Data sourced from Thomson Reuters' Web of Knowledge
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