Journal of Mathematical Chemistry

, Volume 51, Issue 9, pp 2514–2541

Noise-assisted quantum electron transfer in photosynthetic complexes

  • Alexander I. Nesterov
  • Gennady P. Berman
  • José Manuel Sánchez Martínez
  • Richard T. Sayre
Original Paper

DOI: 10.1007/s10910-013-0226-8

Cite this article as:
Nesterov, A.I., Berman, G.P., Sánchez Martínez, J.M. et al. J Math Chem (2013) 51: 2514. doi:10.1007/s10910-013-0226-8

Abstract

Electron transfer (ET) between primary electron donor and acceptor is modeled in the photosynthetic complexes. Our model includes (i) two discrete energy levels associated with donor and acceptor, which are directly interacting and (ii) two continuum manifolds of electron energy levels (“sinks”), each interacting with the donor and acceptor. We also introduce external (classical) noise which acts on both donor and acceptor. We derive a closed system of integro-differential equations which describes the non-Markovian quantum dynamics of the ET. A region of parameters is found in which the ET dynamics can be simplified, and described by coupled ordinary differential equations. Using these simplified equations, both cases of sharp and flat redox potentials are analyzed. We analytically and numerically obtain the characteristic parameters that optimize the ET rates and efficiency in this system. In particular, we demonstrate that even for flat redox potential a simultaneous influence of sink and noise can significantly increase the efficiency of the ET. We discuss a relation between our approach and the Marcus theory of ET.

Keywords

Non-Hermitian Hamiltonian Photosynthetic complexes   Electron transfer Noise Sink 

Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  • Alexander I. Nesterov
    • 1
  • Gennady P. Berman
    • 2
  • José Manuel Sánchez Martínez
    • 1
  • Richard T. Sayre
    • 3
  1. 1.Departamento de Física, CUCEIUniversidad de Guadalajara GuadalajaraMexico
  2. 2.Theoretical DivisionLos Alamos National LaboratoryLos AlamosUSA
  3. 3.Los Alamos National Laboratory and New Mexico ConsortiumLos AlamosUSA

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