Giacometti A, Rossi M
INFM, Unitá di Venezia, Dipartimento di Chimica Fisica, Universitá di Venezia, Calle Larga Santa Marta DD 2137, I-30123 Venice, Italy.
Phys Rev E Stat Nonlin Soft Matter Phys. 2001 Apr;63(4 Pt 2):046102. doi: 10.1103/PhysRevE.63.046102. Epub 2001 Mar 21.
An improved scheme for computing coupling parameters of the Kardar-Parisi-Zhang equation from a collection of successive interface profiles is presented. The approach hinges on a spectral representation of this equation. An appropriate discretization based on a Fourier representation is discussed as a by-product of the above scheme. Our method is first tested on profiles generated by a one-dimensional Kardar-Parisi-Zhang equation, where it is shown to reproduce the input parameters very accurately. When applied to microscopic models of growth, it provides the values of the coupling parameters associated with the corresponding continuum equations. This technique compares favorably with previous methods based on real space schemes.
提出了一种改进方案，用于从一系列连续界面轮廓中计算 Kardar-Parisi-Zhang 方程的耦合参数。该方法依赖于该方程的谱表示。作为上述方案的一个副产品，讨论了基于傅里叶表示的适当离散化。我们的方法首先在由一维 Kardar-Parisi-Zhang 方程生成的轮廓上进行测试，结果表明它能非常准确地重现输入参数。当应用于生长的微观模型时，它能提供与相应连续方程相关的耦合参数值。该技术与基于实空间方案的先前方法相比具有优势。
