Use of Green's functions for the analysis of dynamic couplings: Some examples from chemical kinetics and quantum dynamics

Manoj Mishra, Lawrence Peiperl, Yakir Reuven, Herschel Rabitz, Richard A. Yetter, Mitchell D. Smooke

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

The utility of individual elements of Green's function matrices, in the investigation of dynamic couplings, is illustrated by offering examples from linear and nonlinear kinetics and quantum dynamics. The concept of reduced Green's functions affords a detailed characterization of the actual pathways mediating these couplings. Self-similar behavior between different elements of the Green's function matrix indicates the presence of strong coupling between different variables of the model. We investigate the structure of the entire Green's function matrix to examine such self-similar behavior and other simplifying characteristics of concern for physical insight as well as for economic modeling of the dynamic systems. Global structure in the entire Green's function matrix may be used to reduce the complexity (number of dependent variables) in a model.

Original languageEnglish (US)
Pages (from-to)3109-3118
Number of pages10
JournalJournal of physical chemistry
Volume95
Issue number8
DOIs
StatePublished - Jan 1 1991

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Green's function
Reaction kinetics
reaction kinetics
Green's functions
entire functions
matrices
dependent variables
economics
Dynamical systems
Economics
Kinetics
kinetics

All Science Journal Classification (ASJC) codes

  • Engineering(all)
  • Physical and Theoretical Chemistry

Cite this

Mishra, Manoj ; Peiperl, Lawrence ; Reuven, Yakir ; Rabitz, Herschel ; Yetter, Richard A. ; Smooke, Mitchell D. / Use of Green's functions for the analysis of dynamic couplings : Some examples from chemical kinetics and quantum dynamics. In: Journal of physical chemistry. 1991 ; Vol. 95, No. 8. pp. 3109-3118.
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Use of Green's functions for the analysis of dynamic couplings : Some examples from chemical kinetics and quantum dynamics. / Mishra, Manoj; Peiperl, Lawrence; Reuven, Yakir; Rabitz, Herschel; Yetter, Richard A.; Smooke, Mitchell D.

In: Journal of physical chemistry, Vol. 95, No. 8, 01.01.1991, p. 3109-3118.

Research output: Contribution to journalArticle

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