Breathers in a system with helicity and dipole interaction

Details Breathers in a system with helicity and dipole interaction Breathers in a system with helicity and dipole interaction

2002-06-28

arxiv.org/abs/nlin/0206051v1

Physical Review E 66:017601-017604, 2002.

Nonlinear Sciences

Pattern Formation and Solitons

4pages, 5 eps figures

Scientific paper

10.1103/PhysRevE.66.017601

Recent papers that have studied variants of the Peyrard-Bishop model for DNA, have taken into account the long range interaction due to the dipole moments of the hydrogen bonds between base pairs. In these models the helicity of the double strand is not considered. In this particular paper we have performed an analysis of the influence of the helicity on the properties of static and moving breathers in a Klein--Gordon chain with dipole-dipole interaction. It has been found that the helicity enlarges the range of existence and stability of static breathers, although this effect is small for a typical helical structure of DNA. However the effect of the orientation of the dipole moments is considerably higher with transcendental consequences for the existence of mobile breathers.

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