RT Journal Article T1 Incoherent exciton trapping in self-similar aperiodic lattices A1 Domínguez-Adame Acosta, Francisco A1 Maciá Barber, Enrique Alfonso A1 Sánchez, Angel AB Incoherent exciton dynamics in one-dimensional perfect lattices with traps at sites arranged according to aperiodic deterministic sequences is studied. We focus our attention on Thue-Morse and Fibonacci systems as canonical examples of self-similar aperiodic systems. Solving numerically the corresponding master equation we evaluate the survival probability and the mean-square displacement of an exciton initially created at a single site. Results are compared to systems of the same size with the same concentration of traps randomly as well as periodically distributed over the whole lattice. Excitons progressively extend over the lattice on increasing time and, in this sense, they act as a probe of the particular arrangements of traps in each system considered. The analysis of the characteristic features of their time decay indicates that exciton dynamics in self-similar aperiodic arrangements of traps is quite close to that observed in periodic ones, but di8'ers significantly from that corresponding to random lattices. We also report on characteristic features of exciton motion suggesting that Fibonacci and Thue-Morse orderings might be clearly observed by appropriate experimental measurements. In the conclusions we comment on the implications of our work on the way towards a unified theory of the ordering of matter. PB American Physical Society SN 0163-1829 YR 1995 FD 1995-01-01 LK https://hdl.handle.net/20.500.14352/60200 UL https://hdl.handle.net/20.500.14352/60200 LA eng NO 1995 The American Physical SocietyThis work is partially supported by Universidad Complutense through Project No. PR161/93-4811. A.S. is partially supported by DGICyT (Spain) Grant No. PB92-0248, by MEC (Spain)/Fulbright, and by the European Union Network ERBCHRXCT930413. Work at Los Alamos is performed under the auspices of the U.S. DOE NO Universidad Complutense de Madrid NO DGICyT (Spain) NO MEC (Spain)/Fulbright NO European Union DS Docta Complutense RD 28 sept 2024