Influence of geometry on light harvesting in dendrimeric systems

Maximal entropy random walk improves efficiency of trapping in dendrimers

“…In Refs. [42][43][44][45] , MFPT from any node to the central node, as well as the ATT to the center, were deduced. These a) Electronic mail: zhangzz@fudan.edu.cn; http://www.researcherid.com/rid/G-5522-2011 works unveiled the effect of structure on the MFPT and ATT to the central node.…”

Influence of geometry on light harvesting in dendrimeric systems. II. nth-nearest neighbor effects and the onset of percolation

“…The class of molecules known as dendrimers has been studied extensively in recent years [1][2][3][4][5][6][7][8][9] and this study has led to a variety of applications. Within the context of molecular recognition [10], applications include utilizing a large dendrimer to encapsulate a guest molecule, which is then released by triggering some external stimulus, e.g.…”

“…For definiteness, we focus on the case of a dendrimeric lattice with z ¼ 3, where z denotes the number of nearest neighbors to any branching site (with the exception of the sites on the periphery or possibly the central site); we note, however, that the theory can be developed for dendrimeric lattices of any connectivity, as was already demonstrated in Ref. [4]. Both the short-and long-term dynamical behavior are studied, and exact analytic expressions are obtained for the mean walklength, T ðnÞ , the average over all available positions before termination (annihilation) at the central trapping site, a measure of the effective lifetime.…”

“…The work is a generalization of that carried out in Ref. [4] where nearest-neighbor walks on compact and extended dendrimers with z ¼ 3 and z ¼ 4 were studied. In that work, exact expressions were obtained for the mean walklength T ðnÞ of a random walker moving from a non-trapping site to the central trapping site.…”

Transport of optical excitations on dendrimers in the continuum approximation

“…the average time it takes for an excitation, created at the periphery of the dendrimer, to reach its core. This problem was investigated for fixed [12][13][14][15][16][17][18] as well as for random energetic biases [19,20]. In all papers cited above the assumption was made that the motion of the optical excitation can be described by incoherent hopping transport between the dendrimer's sites.…”