Numerical Study on Roughness Distributions of 1+1 Dimensional Noisy Kuramoto-Sivashinsky Equation

CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 2011, Vol. 28 ›› Issue (1): 125-130.

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Numerical Study on Roughness Distributions of 1+1 Dimensional Noisy Kuramoto-Sivashinsky Equation

YANG Xiquan, TANG Gang, HAN Kui, XIA Hui, HAO Dapeng, XUN Zhipeng, ZHOU Wei, WEN Rongji, CHEN Yuling, WANG Juan

School of Science, China University of Mining and Technology, Xuzhou 221116, China

Received:2009-11-27 Revised:2010-05-17 Online:2011-01-25 Published:2011-01-25

Abstract

Abstract: Roughness distributions of 1+1 dimensional noisy Kuramoto-Sivashinsky(KS) equation at steady states are obtained and compared with Kardar-Parisi-Zhang(KPZ) equation's with numerical simulation.It is shown that the scaling functions of roughness distributions of the noise KS equation in 1+1 dimensions show small finite-size effects.They are in good agreement with the Kardar-Parisi-Zhang(KPZ) equation's.

Key words: kinetic roughening of surfaces and interfaces, noisy Kuramoto-Sivashinsky equation, Kardar-Parisi-Zhang equation, roughness distribution

CLC Number:

O469

YANG Xiquan, TANG Gang, HAN Kui, XIA Hui, HAO Dapeng, XUN Zhipeng, ZHOU Wei, WEN Rongji, CHEN Yuling, WANG Juan. Numerical Study on Roughness Distributions of 1+1 Dimensional Noisy Kuramoto-Sivashinsky Equation[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2011, 28(1): 125-130.

Numerical Study on Roughness Distributions of 1+1 Dimensional Noisy Kuramoto-Sivashinsky Equation

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