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Optimal rates for electron transfer in Marcus theory.

Lev Mourokh1, Seth Lloyd

  • 1Department of Physics, Queens College of the City University of New York, Flushing, New York 11367, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|November 16, 2013
PubMed
Summary
This summary is machine-generated.

Electron transfer rates between quantum states are optimized by a single environmental parameter, following the Goldilocks principle. This finding simplifies understanding quantum dynamics in dissipative systems.

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Area of Science:

  • Quantum mechanics
  • Chemical physics
  • Condensed matter theory

Background:

  • Electron transfer is fundamental in chemical and physical processes.
  • Dissipative environments significantly influence quantum dynamics.
  • Understanding electron transfer requires modeling environmental interactions.

Purpose of the Study:

  • To analyze electron transfer between two quantum states coupled to a dissipative environment.
  • To derive Marcus transfer rates from fundamental quantum equations of motion.
  • To identify the key environmental parameter governing optimal electron transfer.

Main Methods:

  • Modeling the dissipative environment as independent harmonic oscillators.
  • Deriving Marcus transfer rates using equations of motion for electronic operators.
  • Analyzing the relationship between transfer rates and environment correlation time.

Main Results:

  • Explicit expression for environment correlation time derived.
  • Marcus transfer rates successfully obtained from the model.
  • Optimal electron transfer demonstrated to be governed by a single parameter: the inverse square root of 2.

Conclusions:

  • The study provides a simplified model for electron transfer in dissipative systems.
  • A single parameter, derived from environmental properties, dictates optimal transfer.
  • Findings illustrate the Goldilocks principle in quantum electron transfer dynamics.