1999/06/03 by Yuri Gaididei, Yuri B. Gaididei, Serge F. Mingaleev +10
Biochemistry, Genetics and Molecular Biology · Physics and Astronomy · #DNA and Nucleic Acid Chemistry #Nonlinear Photonic Systems #Spectroscopy and Quantum Chemical Studies #physics.bio-ph #q-bio
paper · pdf · doi:10.48550/arxiv.physics/9906006
19 pages, 6 figures, in Proc. "Nonlinear Cooperative Phenomena in Biological Systems", Ed.: L. Matsson (World Scientific, Singapore, 1998) pp. 176-194
arxiv created 1999/06/03 · arxiv updated 2009/12/01
A discrete nonlinear Schrodinger (NLS) model with long-range dispersive interactions describing the dynamical structure of DNA is proposed. Dispersive interactions of two types: the power dependence r-s and the exponential dependence e-βr on the distance, r, are studied. For s less than some critical value, scr, and similarly for β≤ βcr there is an interval of bistability where two stable stationary states: narrow, pinned states and broad, mobile states exist at each value of the total energy. For cubic nonlinearity the bistability of the solitons occurs for dipole-dipole dispersive interaction (s=3), and for the inverse radius of the dispersive interaction β≤ βcr=1.67. For increasing degree of nonlinearity, σ, the critical values scr and βcr increase. The long-distance behavior of the intrinsically localized states depends on s. For s>3 their tails are exponential while for 2<s<3 they are algebraic. A controlled switching between pinned and mobile states is demonstrated applying a spatially symmetric perturbation in the form of a parametric kick. The mechanism could be important for controlling energy storage and transport in DNA molecules.