Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
2009-08-13
Physics
Condensed Matter
Soft Condensed Matter
16 pages, 13 figures
Scientific paper
The formation of bubble defects of the double stranded DNA is treated according to the Lifshits theory of disordered chains. A molecule of the DNA is modelled on a harmonic lattice with nearest neighbour interaction, elastic constants being randomly distributed. The helicoidal symmetry is accommodated through a chiral field at sites of the lattice. The number of sites varies from 100 to 300, corresponding to DNA segmnets of persistence length. We find the spectra of elastic eigen-modes that mimic inter-strand excitations of the duplex. The frequency distribution shows peaks and valleys at the high-frequency end of the spectra, in accord with the general theory. External excitations may lead to a parametric resonance that can generate localized modes of the lattice. In real life pumping hyper-sound may generate a resonance similar to that studied in this paper, and thus result in excitation of inter-strand modes and possible formation of bubbles, in the duplex of the DNA.
Blinov Veniamin
Golo V. L.
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