Disorder effects in bridged molecular systems. Random matrix theory approach

Ewa Gudowska-Nowak, Jürgen Brickmann, G. Papp

Research output: Contribution to journalArticle

Abstract

Advances in nanotechnologies and molecular assembly techniques have brought much attention to the problem of molecular wires studied with respect to disorder and to increased electronic connectivity. In this communication we aim to use the techniques of Random Matrix Theory (RMT) in the formalism of Free Random Variables (FRV) to analyze and predict electronic properties of one-dimensional disordered bridged molecular systems. We discuss possible application of the method in biological and chemical context. As an example, based on recent achievements in the theory of nonhermitian ensembles of random matrices, we outline here an efficient procedure to calculate electron transfer matrix in electron conducting disordered materials. The approach can be applied to the variety of problems like analysis of final state-selected spectra in unimolecular chemical reactions or population dynamics of biological species.

Original languageEnglish
Pages (from-to)19-36
Number of pages18
JournalCellular and Molecular Biology Letters
Volume4
Issue number1
Publication statusPublished - 1999

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Electrons
Nanotechnology
Population Dynamics
Population dynamics
Random variables
Electronic properties
Chemical reactions
Wire
Communication

Keywords

  • Charge Transfer
  • Green's Function Formalism
  • Kinetics in Disordered Media

ASJC Scopus subject areas

  • Cell Biology
  • Clinical Biochemistry
  • Genetics
  • Molecular Biology

Cite this

Disorder effects in bridged molecular systems. Random matrix theory approach. / Gudowska-Nowak, Ewa; Brickmann, Jürgen; Papp, G.

In: Cellular and Molecular Biology Letters, Vol. 4, No. 1, 1999, p. 19-36.

Research output: Contribution to journalArticle

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