Effects of long-range dispersion in nonlinear dynamics of DNA molecules

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dc.creatorGaididei, Yuri B.
dc.creatorMingaleev, Serge F.
dc.creatorChristiansen, Peter L.
dc.creatorJohansson, Magnus
dc.creatorRasmussen, Kim O.
dc.date1999-06-03
dc.date.accessioned2026-07-07T05:57:02Z
dc.date.available2026-07-07T05:57:02Z
dc.descriptionA 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, $s_{cr}$, and similarly for $β\leq β_{cr}$ 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 $β\leq β_{cr}=1.67$. For increasing degree of nonlinearity, $σ$, the critical values $s_{cr}$ and $β_{cr}$ 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.
dc.description19 pages, 6 figures, in Proc. "Nonlinear Cooperative Phenomena in Biological Systems", Ed.: L. Matsson (World Scientific, Singapore, 1998) pp. 176-194
dc.identifierhttps://arxiv.org/abs/physics/9906006
dc.identifierhttp://arxiv.org/abs/physics/9906006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/87836
dc.subjectBiological Physics
dc.subjectQuantitative Biology
dc.titleEffects of long-range dispersion in nonlinear dynamics of DNA molecules
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