arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 0710.4940cond-mat.softcond-mat.stat-mechphysics.bio-phq-bio.BM
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场驱动Polymer易位的孔阻断时间

Pore-blockade Times for Field-Driven Polymer Translocation

Henk Vocks, Debabrata Panja, Gerard T. Barkema, Robin C. Ball

摘要:

我们研究了一个易位聚合物的长度$N$,驱动的三维空间中的孔的字段$E$的孔封锁时间。聚合物表现出劳斯动力学,即,我们考虑在没有流体动力学相互作用的情况下的聚合物动力学。我们发现,典型的时间孔保持堵塞在易位事件的规模为$\sim N^{(1+2ν)/(1+ν)}/E$,其中$ν\simeq0.588$是聚合物的弗洛里指数。与我们以前的工作,我们表明,这种缩放行为源于聚合物动力学在紧邻的孔-特别是,记忆效应的聚合物链张力不平衡的孔。这个结果,以及其他几个小组的数值结果,违反了文献中早先提出的下限$\sim N^{1+ν}/E$。我们讨论了为什么这个下限是不正确的,并显示,基于能量守恒,正确的下限为场驱动易位的孔封锁时间是由$ηN^{2ν}/E$,其中$η$是周围的聚合物的介质的粘度。

英文摘要:

We study pore blockade times for a translocating polymer of length $N$, driven by a field $E$ across the pore in three dimensions. The polymer performs Rouse dynamics, i.e., we consider polymer dynamics in the absence of hydrodynamical interactions. We find that the typical time the pore remains blocked during a translocation event scales as $\sim N^{(1+2ν)/(1+ν)}/E$, where $ν\simeq0.588$ is the Flory exponent for the polymer. In line with our previous work, we show that this scaling behaviour stems from the polymer dynamics at the immediate vicinity of the pore -- in particular, the memory effects in the polymer chain tension imbalance across the pore. This result, along with the numerical results by several other groups, violates the lower bound $\sim N^{1+ν}/E$ suggested earlier in the literature. We discuss why this lower bound is incorrect and show, based on conservation of energy, that the correct lower bound for the pore-blockade time for field-driven translocation is given by $ηN^{2ν}/E$, where $η$ is the viscosity of the medium surrounding the polymer.

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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