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Aggregation-fragmentation processes and decaying three-wave turbulence
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Connaughton, Colm and Krapivsky, Pavel L. (2010) Aggregation-fragmentation processes and decaying three-wave turbulence. Physical Review E (Statistical, Nonlinear, and Soft Matter Physics), Vol.81 (No.3). Article no. 035303(R). doi:10.1103/PhysRevE.81.035303 ISSN 1539-3755.
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Official URL: http://dx.doi.org/10.1103/PhysRevE.81.035303
Abstract
We use a formal correspondence between the isotropic three-wave kinetic equation and the rate equations for a nonlinear fragmentation-aggregation process to study the wave frequency power spectrum of decaying three-wave turbulence in the infinite capacity regime. We show that the transient spectral exponent is lambda + 1, where lambda is the degree of homogeneity of the wave interaction kernel and derive a formula for the decay amplitude. When lambda = 0 the transient exponent coincides with the thermodynamic equilibrium exponent leading to logarithmic corrections to scaling which we calculate explicitly for the case of constant interaction kernel.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
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Divisions: | Faculty of Science, Engineering and Medicine > Research Centres > Centre for Complexity Science Faculty of Science, Engineering and Medicine > Science > Mathematics |
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Library of Congress Subject Headings (LCSH): | Turbulence, Waves -- Mathematical models | ||||
Journal or Publication Title: | Physical Review E (Statistical, Nonlinear, and Soft Matter Physics) | ||||
Publisher: | American Physical Society | ||||
ISSN: | 1539-3755 | ||||
Official Date: | March 2010 | ||||
Dates: |
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Volume: | Vol.81 | ||||
Number: | No.3 | ||||
Number of Pages: | 4 | ||||
Page Range: | Article no. 035303(R) | ||||
DOI: | 10.1103/PhysRevE.81.035303 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access | ||||
Funder: | University of Warwick | ||||
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