A simple model of the charge transfer in DNA-like substances

Walet, N.; Zakrzewski, W.J.

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.

Citation

Walet, N., & Zakrzewski, W. (2005). A simple model of the charge transfer in DNA-like substances. Nonlinearity, 18(6), 2615-2636. https://doi.org/10.1088/0951-7715/18/6/011

• Journal Article Type: Article
• Publication Date: 2005-11
• Deposit Date: Apr 24, 2007
• Journal: Nonlinearity
• Print ISSN: 0951-7715
• Electronic ISSN: 1361-6544
• Publisher: IOP Publishing
• Peer Reviewed: Peer Reviewed
• Volume: 18
• Issue: 6
• Pages: 2615-2636
• DOI: https://doi.org/10.1088/0951-7715/18/6/011
• Public URL: https://durham-repository.worktribe.com/output/1561783