纳米通道中DNA的纵向分散
Longitudinal dispersion of DNA in nanochannels
摘要：
提出了一个理论的纵向分散的DNA下的平衡限制在一个纳米通道。DNA链的取向波动逐渐增加，从而引起螺旋在通道纵向上的显著波动。聚合物的平移和取向自由度由满足通常的Fokker-Planck方程的格林函数描述。有人认为，这类似于管流中颗粒对流扩散理论中出现的输运方程。此外，泰勒的方法可以用来减少福克-普朗克方程的扩散方程长的DNA，虽然微妙的出现与通道内的片段的取向分布连接。纵向“步长”与DNA片段的典型角度的六次方成正比。与实验相比，色散被低估了，可能是因为谐波近似被用来描述聚合物限制。
英文摘要：
A theory is presented of the longitudinal dispersion of DNA under equilibrium confined in a nanochannel. Orientational fluctuations of the DNA chain build up to give rise to substantial fluctuations of the coil in the longitudinal direction of the channel. The translational and orientational degrees of freedom of the polymer are described by the Green function satisfying the usual Fokker-Planck equation. It is argued that this is analogous to the transport equation occurring in the theory of convective diffusion of particles in pipe flow. Moreover, Taylor's method may be used to reduce the Fokker-Planck equation to a diffusion equation for long DNA although subtleties arise connected with the orientational distribution of segments within the channel. The longitudinal "step length" turns out to be proportional to the typical angle of a DNA segment to the sixth power. The dispersion is underestimated compared to experiment, probably because the harmonic approximation is used to describe the polymer confinement.
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