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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). 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 |
|---|---|
| Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
| Divisions: | Faculty of Science > Centre for Complexity Science Faculty of Science > Mathematics |
| 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 |
| Date: | March 2010 |
| Volume: | Vol.81 |
| Number: | No.3 |
| Number of Pages: | 4 |
| Page Range: | Article no. 035303(R) |
| Identification Number: | 10.1103/PhysRevE.81.035303 |
| Status: | Peer Reviewed |
| Publication Status: | Published |
| Access rights to Published version: | Restricted or Subscription Access |
| Funder: | University of Warwick |
| Related URLs: | |
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| URI: | http://wrap.warwick.ac.uk/id/eprint/6139 |
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