ON GENERATING RANDOM POTENTIALS

作者：M. SUÑÉ SIMON, J. M. Sancho, A. M. LACASTA · 发表于：Fluctuation and Noise Letters · 年份：2012 · DOI：10.1142/s0219477512500265 · 被引用次数：21 · 研究领域：Theoretical and Computational Physics、Material Dynamics and Properties、Electrostatics and Colloid Interactions

The study of transport and diffusion of Brownian particles in disorder media needs the generation of random potentials with well prescribed statistical properties. Here we present a straightforward method to build a Gaussian potential landscape with an arbitrary spatial correlation with the only requirement of isotropy. The method has the particularity that, although it uses the Fourier space, all its constraints and information are in real space. As practical applications we construct three types of Gaussian disordered correlations: Normal, exponential and power-law. These three cases cover a variety of physical situations.