Niels R Walet and Wojtek J Zakrzewski 2005 Nonlinearity 18 2615 doi:10.1088/0951-7715/18/6/011
Niels R Walet1 and Wojtek J Zakrzewski2
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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.
35Q55 NLS-like (nonlinear Schrödinger) equations (See also 37K10)
Issue 6 (November 2005)
Received 10 May 2005, in final form 8 August 2005
Published 31 August 2005
Niels R Walet and Wojtek J Zakrzewski 2005 Nonlinearity 18 2615
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