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VOLUME 61 (1995) | ISSUE 7 | PAGE 562
Acoustic turbulence in media with two types of sound
The state of wave turbulence in media with two acoustic branches is analyzed for the case in which sound of the high-frequency branch decays into two sound waves of the low-frequency branch. The forward cascade is accompanied by an inverse cascade in this situation. As a result, a power-law turbulence distribution is established at small values of k. The relaxation to a steady-state distribution is also analyzed. When the sound velocities on the different branches are greatly different, the kinetic equations can be simplified substantially through expansion in a small parameter. A steady-state regime is established over an infinite time at small values of k, and over a finite time at large values of k, under the assumption that the spectra are established in a self-similar way. © 1995 American Institute of Physics.