Publication details for Professor Emeritus Wojtek ZakrzewskiWalet, N. & Zakrzewski, W.J. (2005). A simple model of the charge transfer in DNA-like substances. Nonlinearity 18(6): 2615-2636.
- Publication type: Journal Article
- ISSN/ISBN: 0951-7715, 1361-6544
- DOI: 10.1088/0951-7715/18/6/011
- Further publication details on publisher web site
- Durham Research Online (DRO) - may include full text
Author(s) from Durham
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.