Physics – Condensed Matter
Scientific paper
2002-11-27
J. Phys.: Condens. Matter 15 No 18 (14 May 2003) S1699-S1707
Physics
Condensed Matter
6 pages, 7 figures
Scientific paper
10.1088/0953-8984/15/18/304
A model for soliton dynamics on a hydrogen-bond network in helical proteins is proposed. It employs in three dimensions the formalism of fully integrable Toda lattices which admits phonons as well as solitons along the hydrogen-bonds of the helices. A simulation of the three dimensional Toda lattice system shows that the solitons are spontaneously created and are stable and moving along the helix axis. A perturbation on one of the three H-bond lines forms solitons on the other H-bonds as well. The robust solitary wave may explain very long-lived modes in the frequency range of 100 cm$^{-1}$ which are found in recent X-ray laser experiments. The dynamics parameters of the Toda lattice are in accordance with the usual Lennard-Jones parameters used for realistic H-bond potentials in proteins.
Bohr Henrik
D'Ovidio Francesco
Lindgaard Per-Anker
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