Aggregation-Fragmentation Processes and Wave Kinetics

Details Aggregation-Fragmentation Processes and Wave Kinetics Aggregation-Fragmentation Processes and Wave Kinetics

2009-09-29

arxiv.org/abs/0909.5399v1

Phys. Rev. E 81, 035303(R), 2010

Physics

Condensed Matter

Statistical Mechanics

4 pages, 5 figures

Scientific paper

There is a formal correspondence between the isotropic 3-wave kinetic equation and the rate equations for a non-linear fragmentation--aggregation process. We exploit this correspondence to study analytically the time evolution of the wave frequency power spectrum. Specifically, we analyzed a 3-wave turbulence in which the wave interaction kernel is a constant. We consider both forced and decaying turbulence. In the forced case, the scaling function diverges as $x^{-3/2}$ as expected from Kolmogorov-Zakharov theory. In the decaying case, the scaling function exhibits non-trivial, and hitherto unexpected, divergence with both algebraic and logarithmic spectral exponents which we calculate. This divergence leads to non-trivial decay laws for the total wave action and the number of primary waves. All theoretical predictions are verified with high quality numerical simulations of the 3-wave kinetic equation.

Affiliated with

Also associated with

No associations

Rating

Aggregation-Fragmentation Processes and Wave Kinetics does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Aggregation-Fragmentation Processes and Wave Kinetics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Aggregation-Fragmentation Processes and Wave Kinetics will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-665134