منابع مشابه
A Modified Kardar–parisi–zhang Model
A one dimensional stochastic differential equation of the form dX = AXdt+ 1 2 (−A) ∂ξ[((−A)X)]dt+ ∂ξdW (t), X(0) = x is considered, where A = 1 2∂ 2 ξ . The equation is equipped with periodic boundary conditions. When α = 0 this equation arises in the Kardar–Parisi–Zhang model. For α 6= 0, this equation conserves two important properties of the Kardar–Parisi–Zhang model: it contains a quadratic...
متن کاملAging of the (2+1)-dimensional Kardar-Parisi-Zhang model.
Extended dynamical simulations have been performed on a (2+1)-dimensional driven dimer lattice-gas model to estimate aging properties. The autocorrelation and the autoresponse functions are determined and the corresponding scaling exponents are tabulated. Since this model can be mapped onto the (2+1)-dimensional Kardar-Parisi-Zhang surface growth model, our results contribute to the understandi...
متن کاملSlow crossover to Kardar-Parisi-Zhang scaling.
The Kardar-Parisi-Zhang (KPZ) equation is accepted as a generic description of interfacial growth. In several recent studies, however, values of the roughness exponent alpha have been reported that are significantly less than that associated with the KPZ equation. A feature common to these studies is the presence of holes (bubbles and overhangs) in the bulk and an interface that is smeared out....
متن کاملAgeing of the 2+1 dimensional Kardar-Parisi-Zhang model
Extended dynamical simulations have been performed on a 2+1 dimensional driven dimer lattice gas model to estimate ageing properties. The auto-correlation and the auto-response functions are determined and the corresponding scaling exponents are tabulated. Since this model can be mapped onto the 2+1 dimensional Kardar-Parisi-Zhang surface growth model, our results contribute to the understandin...
متن کاملA Pseudo-spectral Method for the Kardar-parisi-zhang Equation
We discuss a numerical scheme to solve the continuum Kardar-Parisi-Zhang equation in generic spatial dimensions. It is based on a momentum-space discretization of the continuum equation and on a pseudo-spectral approximation of the non-linear term. The method is tested in (1 + 1)and (2 + 1)dimensions, where it is shown to reproduce the current most reliable estimates of the critical exponents b...
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ژورنال
عنوان ژورنال: Electronic Communications in Probability
سال: 2007
ISSN: 1083-589X
DOI: 10.1214/ecp.v12-1333