Amplitude Equation of Higher-Dimensional Nikolaevskii Turbulence

The scaling structure of higher-dimensional Nikolaevskii turbulence described by is investigated for small ε(>0). This is done by extending the Matthews-Cox scaling in a one-dimenional system to higher dimensions. By deriving the amplitude equation for small ε in higher dimensions and carrying ou...

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Bibliographic Details
Published in:Progress of theoretical and experimental physics 2003-06, Vol.109 (6), p.911-918
Main Authors: Fujisaka, Hirokazu, Honkawa, Tomoaki, Yamada, Tomoji
Format: Article
Language:English
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Summary:The scaling structure of higher-dimensional Nikolaevskii turbulence described by is investigated for small ε(>0). This is done by extending the Matthews-Cox scaling in a one-dimenional system to higher dimensions. By deriving the amplitude equation for small ε in higher dimensions and carrying out the numerical integration of their amplitude equations for a two-dimensional system, it is shown that the same scaling structure found in the one-dimensional case exists also in two dimensions.
ISSN:0033-068X
2050-3911
1347-4081
DOI:10.1143/PTP.109.911