Renormalization-group analysis of a noisy Kuramoto-Sivashinsky equation
نویسندگان
چکیده
منابع مشابه
Renormalization-group and numerical analysis of a noisy Kuramoto-Sivashinsky equation in 1 + 1 dimensions.
The long-wavelength properties of a noisy Kuramoto-Sivashinsky (KS) equation in 1 + 1 dimensions are investigated by use of the dynamic renormalization group (RG) and direct numerical simulations. It is shown that the noisy KS equation is in the same universality class as the Kardar-Parisi-Zhang (KPZ) equation in the sense that they have scale invariant solutions with the same scaling exponents...
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In this work, we study the one-dimensional stabilized Kuramoto Sivashinsky equation with additive uncorrelated stochastic noise. The Eckhaus stable band of the deterministic equation collapses to a narrow region near the center of the band. This is consistent with the behavior of the phase diffusion constants of these states. Some connections to the phenomenon of state selection in driven out o...
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The nondeterministic Kuramoto-Sivashinsky ~KS! equation is solved numerically in 211 dimensions. The simulations reveal the presence of early and late scaling regimes. The initial-time values for the growth exponent b, the roughness exponent a, and the dynamic exponent z are found to be 0.22–0.25, 0.75–0.80, and 3.0–4.0, respectively. For long times, the scaling exponents are notably less than ...
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ژورنال
عنوان ژورنال: Physical Review E
سال: 1995
ISSN: 1063-651X,1095-3787
DOI: 10.1103/physreve.52.4853