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Excitation Propagation in the Presence of a Driven and Kicked Vibration
Author(s) -
Esser B.
Publication year - 1990
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221570125
Subject(s) - chaotic , vibration , amplitude , connection (principal bundle) , perturbation (astronomy) , kernel (algebra) , classical mechanics , physics , nonlinear system , periodic function , excitation , mathematical analysis , statistical physics , mathematics , quantum mechanics , computer science , geometry , artificial intelligence , combinatorics
Abstract The propagation of excitons interacting with a driven and kicked vibration is considered using the generalized master equation (GME) approach. The amplitude of the vibration is described by a nonlinear evolution equation with a kicking term modelling a periodic perturbation. The connection between the GME kernel (memory function) and a map describing the dynamics of the vibration is established. This connection is used to discuss the behaviour of the GME kernel and resulting exciton motion following from the periodic and chaotic solutions of the map. For chaotic solutions an ensemble is introduced and the decay of the memory function calculated.