Levy flights in inhomogeneous environments
Levy flights in inhomogeneous environments
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DOI：
10.1016/j.physa.2010.06.036
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发表时间：
2010-11-01
影响因子：
3.3
通讯作者：
Stephanovich, Vladimir
中科院分区：
文献类型：
--
作者：
Garbaczewski, Piotr;Stephanovich, Vladimir
我们研究的概率密度函数（PDF）的Levy航班在限制的潜力，起源于不均匀性的环境中的航班发生的长时间渐近。为此，我们采用两种模式的动力学行为：朗根文驱动和（列维-薛定谔）半群驱动的动力学。结果表明，半群模型提供了比标准朗之万模型更强的约束性质。为了计算和可视化的目的，我们的观察举例说明了柯西驱动程序和它的响应外部多项式电位（指列维振荡器），相对于这两个动力学机制。我们讨论的Levy半群运动的情况下，在空间非均匀介质中的随机搜索的链接。(C)2010 Elsevier B. V.保留所有权利。
We study the long time asymptotics of probability density functions (pdfs) of Levy flights in confining potentials that originate from inhomogeneities of the environment in which the flights take place. To this end we employ two model patterns of dynamical behavior: Langevin-driven and (Levy-Schrodinger) semigroup-driven dynamics. It turns out that the semigroup modeling provides much stronger confining properties than the standard Langevin one. For computational and visualization purposes our observations are exemplified for the Cauchy driver and its response to external polynomial potentials (referring to Levy oscillators), with respect to both dynamical mechanisms. We discuss the links of the Levy semigroup motion scenario with that of random searches in spatially inhomogeneous media. (C) 2010 Elsevier B.V. All rights reserved.