Critical exponents of Nikolaevskii turbulence

Details Critical exponents of Nikolaevskii turbulence Critical exponents of Nikolaevskii turbulence

2004-12-03

arxiv.org/abs/nlin/0412012v1

Nonlinear Sciences

Chaotic Dynamics

9 pages, 6 figures

Scientific paper

10.1103/PhysRevE.71.025203

We study the spatial power spectra of Nikolaevskii turbulence in one-dimensional space. First, we show that the energy distribution in wavenumber space is extensive in nature. Then, we demonstrate that, when varying a particular parameter, the spectrum becomes qualitatively indistinguishable from that of Kuramoto-Sivashinsky turbulence. Next, we derive the critical exponents of turbulent fluctuations. Finally, we argue that in some previous studies, parameter values for which this type of turbulence does not appear were mistakenly considered, and we resolve inconsistencies obtained in previous studies.

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