Effective Viscosity and Time Correlation for the Kuramoto-Sivashinsky Equation | Zendy

H. Sakaguchi | Zendy

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Effective Viscosity and Time Correlation for the Kuramoto-Sivashinsky Equation

Author(s) -

H. Sakaguchi

Publication year - 2002

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.107.879

Subject(s) - physics , viscosity , scaling , burgers' equation , statistical physics , shock (circulatory) , projection (relational algebra) , boundary value problem , operator (biology) , mathematical analysis , classical mechanics , mechanics , partial differential equation , mathematics , thermodynamics , quantum mechanics , geometry , algorithm , repressor , medicine , biochemistry , chemistry , gene , transcription factor

A shock-like structure appears in a time-averaged pattern produced by theKuramoto-Sivashinsky equation and the noisy Burgers equation with fixedboundary conditions. We show that the effective viscosity computed from thewidth of the time-averaged shock structure is consistent with that computedfrom the time correlation of the fluctuations. The effective viscosity dependson the lengthscale, although our system size is not sufficiently large tosatisfy the asymptotic dynamic scaling law. We attempt to determine theeffective viscosity in a finite size system with the projection operatormethod.Comment: 6 figure

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