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Durham University

Department of Mathematical Sciences

Staff

Publication details for Professor Emeritus Wojtek Zakrzewski

Walet, N. & Zakrzewski, W.J. (2005). A simple model of the charge transfer in DNA-like substances. Nonlinearity 18(6): 2615-2636.

Author(s) from Durham

Abstract

We present a very simple model for the study of charge transport in a molecule patterned on B-DNA. In this model we use a discrete nonlinear Schrödinger equation to describe electrons propagating along the sugar-phosphate backbone of the DNA molecule. We find that in this model, for a given nonlinearity, the transport is controlled by J, a parameter which relates to the electronic coupling between the different molecules on the backbone. For smaller values of J we have localized states while at higher values of J the soliton field is spread out, and through its interaction with the lattice it has stronger effects on the distortion of the lattice.