摘要翻译:
我们报道了一个自回避聚合物在圆柱孔内的弛豫动力学的广泛模拟。特别地,我们集中研究了约束如何影响链的整体弛豫时间t随链长N和孔径d的标度行为。早期基于de Gennes blob图的标度分析得到了t~N^2d^(1/3)。然而,我们结合了分子动力学和蒙特卡罗模拟的数值努力,在2000年之前,对N一直产生不同的t-结果。我们认为,以前的标度预测只在极限N>>d^(5/3)>>1内渐近有效,这是目前计算机模拟无法达到的,更有趣的是,在实验中也很难达到。因此,我们的结果对于解释DNA在纳米和微通道中的最新实验是相关的。
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英文标题:
《Unexpected relaxation dynamics of a self-avoiding polymer in cylindrical
confinement》
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作者:
A. Arnold, B. Bozorgui, D. Frenkel, B.-Y. Ha, S. Jun
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最新提交年份:
2007
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分类信息:
一级分类:Physics 物理学
二级分类:Soft Condensed Matter 软凝聚态物质
分类描述:Membranes, polymers, liquid crystals, glasses, colloids, granular matter
膜,聚合物,液晶,玻璃,胶体,颗粒物质
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一级分类:Physics 物理学
二级分类:Statistical Mechanics 统计力学
分类描述:Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变,热力学,场论,非平衡现象,重整化群和标度,可积模型,湍流
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英文摘要:
We report extensive simulations of the relaxation dynamics of a self-avoiding polymer confined inside a cylindrical pore. In particular, we concentrate on examining how confinement influences the scaling behavior of the global relaxation time of the chain, t, with the chain length N and pore diameter D. An earlier scaling analysis based on the de Gennes blob picture led to t ~ N^2D^(1/3). Our numerical effort that combines molecular dynamics and Monte Carlo simulations, however, consistently produces different t-results for N up to 2000. We argue that the previous scaling prediction is only asymptotically valid in the limit N >> D^(5/3) >> 1, which is currently inaccessible to computer simulations and, more interestingly, is also difficult to reach in experiments. Our results are thus relevant for the interpretation of recent experiments with DNA in nano- and micro-channels.
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PDF链接:
https://arxiv.org/pdf/708.2099