Multi-Channel Electron Transfer Reactions: An Analytically Solvable Model

Abstract

We propose an analytical method for understanding the problem of multi-channel electron transfer reaction in solution, modeled by a particle undergoing diffusive motion under the influence of one donor and several acceptor potentials. The coupling between the donor potential and acceptor potentials are assumed to be represented by Dirac Delta functions. The diffusive motion in this paper is represented by the Smoluchowski equation. Our solution requires the knowledge of the Laplace transform of the Green's function for the motion in all the uncoupled potentials.

arXiv admin note: substantial text overlap with arXiv:0903.3069

References in corpus (2)

• Curve Crossing Problems: Analytically solvable model
• Long Range Electron Transfer Reactions: An Analytically Solvable Model

Cited by in corpus (3)

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• Curve Crossing Problem with Arbitrary Coupling: Analytically Solvable Model
• Transition time estimation for $\delta$-function coupling in two state problem: An analytically solvable model