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Phys. Rev. E 61, 2586–2594 (2000)

Anisotropic spectra of acoustic turbulence

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V. S. L’vov1,2, Yu. V. L’vov3,*, and A. Pomyalov1
1Departments of Chemical Physics, The Weizmann Institute of Science, Rehovot 76100, Israel
2Institute for Automatization, Russian Academy of Science, Novosibirsk 630090, Russia
3Department of Mathematical Sciences, Rensselaer Polytechnic Institute, Troy, New York 12180

Received 19 May 1999; published in the issue dated March 2000

We found universal anizopropic spectra of acoustic turbulence with the linear dispersion law ω(k)=ck within the framework of generalized kinetic equation which takes into account the finite time of three-wave interactions. This anisotropic spectra can assume both scale-invariant and non-scale-invariant form. The implications for the evolution of the acoustic turbulence with nonisotropic pumping are discussed. The main result of the article is that the spectra of acoustic turbulence tend to become more isotropic.

© 2000 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.61.2586
DOI:
10.1103/PhysRevE.61.2586
PACS:
47.27.-i

*Electronic address: lvovy@rpi.edu