Aggregation–fragmentation processes and decaying three-wave turbulence
Aggregation–fragmentation processes and decaying three-wave turbulence
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 $\ensuremath{\lambda}+1$, where $\ensuremath{\lambda}$ is the degree …