Optimal rates for electron transfer in Marcus theory

Phys Rev E Stat Nonlin Soft Matter Phys. 2013 Oct;88(4):042819. doi: 10.1103/PhysRevE.88.042819. Epub 2013 Oct 29.

Abstract

We examine electron transfer between two quantum states in the presence of a dissipative environment represented as a set of independent harmonic oscillators. For this simple model, the Marcus transfer rates can be derived from the equations of motion for electronic operators and we show that these rates are associated to an explicit expression for the environment correlation time. We demonstrate that as a manifestation of the Goldilocks principle, the optimal transfer is governed by a single parameter which is equal to just the inverse square root of 2.

Publication types

  • Research Support, Non-U.S. Gov't
  • Research Support, U.S. Gov't, Non-P.H.S.

MeSH terms

  • Electron Transport*
  • Kinetics
  • Models, Theoretical*