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arXiv physics/9906006physics.bio-phq-bio
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长程色散对DNA分子非线性动力学的影响

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

Yuri B. Gaididei, Serge F. Mingaleev, Peter L. Christiansen, Magnus Johansson, Kim O. Rasmussen

摘要:

提出了一个描述DNA动力学结构的离散非线性长程色散薛定谔(NLS)模型。研究了两种类型的色散相互作用:幂依赖$r^{-s}$和指数依赖$e^{-βr}$的距离,$r$。对于$s$小于某个临界值$s_{cr}$,同样对于$β\leq β_{cr}$,存在一个双稳态区间,其中在总能量的每个值处存在两个稳定的定态:窄的钉扎态和宽的移动态。对于立方非线性,偶极-偶极色散相互作用$(s=3)$和色散相互作用半径的倒数$β\leq β_{cr}=1.67$的孤子出现双稳态。随着非线性度$σ$的增加,临界值$s_{cr}$和$β_{cr}$增加。本征局域态的长距离行为依赖于$s$。对于$s>3$,它们的尾部是指数的,而对于$2<s<3$,它们是代数的。钉扎和移动状态之间的受控切换演示应用空间对称扰动的形式的参数踢。这种机制对于控制DNA分子中的能量储存和运输可能很重要。

英文摘要:

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, $s_{cr}$, 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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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