Energy transfer as a random walk. II. Two‐dimensional regular lattices
Energy transfer as a random walk. II. Two‐dimensional regular lattices
复制标题
二维规则晶格的能量传递 II.
DOI：
--
复制
发表时间：
1982
期刊：
影响因子：
--
通讯作者：
A. Blumen
中科院分区：
文献类型：
--
作者：
G. Zumofen;A. Blumen
在本文中，我们研究了二维规则系统中的非相干能量传递，其中分子间相互作用是由于库仑力和交换力造成的。这项工作遵循我们对三维晶格的处理[Blumen 和 Zumofen, J. Chem.物理。 75, 892 (1981)]，其中还考虑了长程转移步骤。我们使用级数和矩阵求逆以及模拟技术，对三角形、方形和六角形晶格的激励随机游走进行解析和数值分析。我们证明，在第一个通道模型中，如果给定不同访问站点的数量 Rn 的分布，则随机游走者在具有随机分布陷阱的格子上的生存概率是已知的。衰减定律表示为涉及 Rn 矩的累积展开式。 Rn 的前几个矩是通过数值过程获得的；在这里，模拟特别有帮助。确定的均值 Sn 和方差 σn2 与分析结果非常吻合...
In this paper, we study the incoherent energy transfer in two‐dimensional regular systems where the intermolecular interactions are due to Coulombic and exchange forces. This work follows our treatment for three‐dimensional lattices [Blumen and Zumofen, J. Chem. Phys. 75, 892 (1981)], where long‐range transfer steps were also taken into account. We analyze the random walk of the excitation for the triangular, square, and hexagonal lattices both analytically and numerically, using series and matrix inversions as well as simulation techniques. We show that in a first passage model the survival probability of a random walker on a lattice with randomly distributed traps is known if the distribution of the number Rn of distinct visited sites is given. The decay law is expressed as a cumulant expansion which involves moments of Rn. The first few moments of Rn are obtained from the numerical procedures; here the simulation is particularly helpful. The determined mean Sn and variance σn2 agree well with analytica...