Kardar-Parisi-Zhang asymptotics for the two-dimensional noisy Kuramoto-Sivashinsky equation
نویسندگان
چکیده
منابع مشابه
Kardar-Parisi-Zhang asymptotics for the two-dimensional noisy Kuramoto-Sivashinsky equation.
We study numerically the Kuramoto-Sivashinsky equation forced by external white noise in two space dimensions, that is a generic model for, e.g., surface kinetic roughening in the presence of morphological instabilities. Large scale simulations using a pseudospectral numerical scheme allow us to retrieve Kardar-Parisi-Zhang (KPZ) scaling as the asymptotic state of the system, as in the one-dime...
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We apply a number of schemes which variationally improve perturbation theory for the Kardar-Parisi-Zhang equation in order to extract estimates for the dynamic exponent z. The results for the various schemes show the same broad features, giving closer agreement with numerical simulations in low dimensions than self-consistent methods. They do, however, continue to predict that z = 2 in some cri...
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Dedicated to Franz Schwabl on the occasion of his 60th birthday. Abstract. We investigate the Kardar{Parisi{Zhang (KPZ) equation in d spatial dimensions with Gaussian spatially long{range correlated noise | characterized by its second moment R(x ?x 0) / jx?x 0 j 2?d | by means of dynamic eld theory and the renormalization group. Using a stochastic Cole{Hopf transformation we derive exact expone...
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In this letter I discuss the strong coupling solution of the Nonlocal Kardar-Parisi-Zhang (NKPZ) equation. The method I employ is the Self-Consistent Expansion (SCE). The results obtained are quite different from result obtained in the past, using Dynamic Renormalization Group analysis (DRG). Experimental results in conjunction with DRG results suggest that the NKPZ model is not adequate to des...
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ژورنال
عنوان ژورنال: Physical Review E
سال: 2010
ISSN: 1539-3755,1550-2376
DOI: 10.1103/physreve.82.045202