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Entropy 2016, 18(3), 92; doi:10.3390/e18030092

Long-Range Electron Transport Donor-Acceptor in Nonlinear Lattices

1
Department of Physics, Saratov State University, Astrakhanskaya 83, 410012 Saratov, Russia
2
Institut für Physik, Humboldt-Universität Berlin, Newtonstraße 15, 12489 Berlin, Germany
3
Instituto Pluridisciplinar, Universidad Complutense, Paseo Juan XXIII, 1, 28040 Madrid, Spain
These authors contributed equally to this work.
*
Author to whom correspondence should be addressed.
Academic Editors: Ignazio Licata and Sauro Succi
Received: 20 November 2015 / Revised: 22 February 2016 / Accepted: 7 March 2016 / Published: 11 March 2016
(This article belongs to the Special Issue Non-Linear Lattice)
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Abstract

We study here several simple models of the electron transfer (ET) in a one-dimensional nonlinear lattice between a donor and an acceptor and propose a new fast mechanism of electron surfing on soliton-like excitations along the lattice. The nonlinear lattice is modeled as a classical one-dimensional Morse chain and the dynamics of the electrons are considered in the tight-binding approximation. This model is applied to the processes along a covalent bridge connecting donors and acceptors. First, it is shown that the electron forms bound states with the solitonic excitations in the lattice. These so-called solectrons may move with supersonic speed. In a heated system, the electron transfer between a donor and an acceptor is modeled as a diffusion-like process. We study in detail the role of thermal factors on the electron transfer. Then, we develop a simple model based on the classical Smoluchowski–Chandrasekhar picture of diffusion-controlled reactions as stochastic processes with emitters and absorbers. Acceptors are modeled by an absorbing boundary. Finally, we compare the new ET mechanisms described here with known ET data. We conclude that electron surfing on solitons could be a special fast way for ET over quite long distances. View Full-Text
Keywords: electron transport; electron-surfing; donor-acceptor; thermal solitons; solectrons electron transport; electron-surfing; donor-acceptor; thermal solitons; solectrons
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Chetverikov, A.P.; Ebeling, W.; Velarde, M.G. Long-Range Electron Transport Donor-Acceptor in Nonlinear Lattices. Entropy 2016, 18, 92.

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