2009/08/13 by V. Blinov, V. N. Blinov, Blinov, V. +2
Biochemistry, Genetics and Molecular Biology · Physics and Astronomy · #DNA and Nucleic Acid Chemistry #FOS: Physical sciences #Soft Condensed Matter (cond-mat.soft) #cond-mat.soft
paper · pdf · doi:10.48550/arxiv.0908.1852
16 pages, 13 figures
arxiv created 2009/08/13 · openalex publication_date 2009/08/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.