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arXiv · 1703.08946

The most effective model for describing the universal behavior of unstable surface growth

Yuki Minami·Shin-ichi Sasa
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Abstract

We study a noisy Kuramoto-Sivashinsky (KS) equation which describes unstable surface growth and chemical turbulence. It has been conjectured that the universal long-wavelength behavior of the equation, which is characterized by scale-dependent parameters, is described by a Kardar-Parisi-Zhang (KPZ) equation. We consider this conjecture by analyzing a renormalization-group equation for a class of generalized KPZ equations. We then uniquely determine the parameter values of the KPZ equation that most effectively describes the universal long-wavelength behavior of the noisy KS equation.

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Yuki Minami, Shin-ichi Sasa. 2017-09-12. The most effective model for describing the universal behavior of unstable surface growth. https://arxiv.org/abs/1703.08946

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