Sturman B, Podivilov E, Gorkunov M
Institute of Automation and Electrometry, Koptyug Ave 1, 630090 Novosibirsk, Russia.
Phys Rev Lett. 2003 Oct 24;91(17):176602. doi: 10.1103/PhysRevLett.91.176602.
We propose a novel geometric approach to the description of the relaxation phenomena in complex condensed-matter systems. It is shown within a fairly general random site hopping model that the stretched exponential decay law, exp([-(t/tau)(beta)], originates from the simple and general geometric features of a random distribution of transport and trapping sites in the 3D space. The value of the variable stretching index beta is determined by the localization radius of hopping electrons. The possibilities for generalization of the obtained results and interpretation of the relevant experimental data are discussed.
我们提出了一种新颖的几何方法来描述复杂凝聚态系统中的弛豫现象。在一个相当普遍的随机位点跳跃模型中表明，拉伸指数衰减定律exp([-(t/τ)^(β)])源自三维空间中传输和俘获位点随机分布的简单而普遍的几何特征。可变拉伸指数β的值由跳跃电子的局域化半径决定。讨论了所得结果的推广可能性以及对相关实验数据的解释。
