Critical exponents of Nikolaevskii turbulence.
We study the spatial power spectra of Nikolaevskii turbulence in one-dimensional space. First, we show that the energy distribution in wave-number 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.
Tanaka
Dan
D
Department of Physics, Graduate School of Sciences, Kyoto University, Kyoto 606-8502, Japan. dan@ton.scphys.kyoto-u.ac.jp