具有序列特异性极化率聚合物间范德华相互作用的分子识别
Molecular recognition by van der Waals interaction between polymers with sequence-specific polarizabilities
摘要：
我们分析了两个刚性聚合物之间的范德华相互作用，沿着聚合物主链具有序列特异性，各向异性的极化率，使得偶极矩平行于聚合物主链波动。假设每个聚合物具有反映例如双链DNA分子的多核苷酸序列的猝灭极化序列，我们研究了具有棒状结构的一对这样的聚合物之间的范德华相互作用能，其中它们各自的极化序列是（i）不同的和（ii）相同的，在后一种情况下，极化率相关器沿聚合物主链的相关长度为零和非零。对于相同的聚合物，我们发现了一种新的$r^{-5}$标度行为的范德华相互作用能小的聚合物间分离$r$，在对比不同的聚合物的$r^{-4}$标度行为，此外，一个明显的角度依赖有利于充分对齐的相同的聚合物之间的吸引力。这种行为可以帮助聚合物之间的分子识别。
英文摘要：
We analyze van der Waals interactions between two rigid polymers with sequence-specific, anisotropic polarizabilities along the polymer backbones, so that the dipole moments fluctuate parallel to the polymer backbones. Assuming that each polymer has a quenched-in polarizability sequence which reflects, for example, the polynucleotide sequence of a double-stranded DNA molecule, we study the van der Waals interaction energy between a pair of such polymers with rod-like structure for the cases where their respective polarizability sequences are (i) distinct and (ii) identical, with both zero and non-zero correlation length of the polarizability correlator along the polymer backbones in the latter case. For identical polymers, we find a novel $r^{-5}$ scaling behavior of the van der Waals interaction energy for small inter-polymer separation $r$, in contradistinction to the $r^{-4}$ scaling behavior of distinct polymers, with furthermore a pronounced angular dependence favoring attraction between sufficiently aligned identical polymers. Such behavior can assist the molecular recognition between polymers.
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