Nonlinear Sciences – Pattern Formation and Solitons
Scientific paper
2003-01-30
Physica Scripta, 69:150-160, 2004
Nonlinear Sciences
Pattern Formation and Solitons
27 pages and 10 figures
Scientific paper
10.1238/Physica.Regular.069a0015
We investigate the formation process of nonlinear vibrational modes representing broad H-bridge multi--site breathers in a DNA--shaped double strand. Within a network model of the double helix we take individual motions of the bases within the base pair plane into account. The resulting H-bridge deformations may be asymmetric with respect to the helix axis. Furthermore the covalent bonds may be deformed distinctly in the two backbone strands. Unlike other authors that add different extra terms we limit the interaction to the hydrogen bonds within each base pair and the covalent bonds along each strand. In this way we intend to make apparent the effect of the characteristic helicoidal structure of DNA. We study the energy exchange processes related with the relaxation dynamics from a non-equilibrium conformation. It is demonstrated that the twist-opening relaxation dynamics of a radially distorted double helix attains an equilibrium regime characterized by a multi-site H-bridge breather.
Archilla Juan F. R.
Hennig Darren
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