电场的量子真空涨落对DNA凝聚的影响
Effects of Quantum Vacuum Fluctuations of the Electric Field on DNA Condensation
摘要：
通过假设不仅反离子，但DNA分子以及根据玻尔兹曼定律的热分布，我们提出了一个修改的Poisson-Boltzmann方程在经典水平作为出发点计算的量子涨落的电场对DNA-阳离子复合物之间的相互作用的影响。后者在这里被建模为无限一维线（$δ$ -函数）。我们的目标是将这种量子真空驱动的相互作用从反离子诱导的相互作用和水相关的相互作用中挑选出来。我们得到了一个普遍的，挫折免费Casimir样（余维2）的相互作用，广泛的数值分析表明是一个很好的候选人来解释DNA聚集体的形成和稳定性。这样的卡西米尔能量计算的各种配置多达19个DNA链的六边形阵列。发现它是强多体的。
英文摘要：
By assuming that not only counter-ions but DNA molecules as well are thermally distributed according to a Boltzmann law, we propose a modified Poisson-Boltzmann equation at the classical level as starting point to compute the effects of quantum fluctuations of the electric field on the interaction among DNA-cation complexes. The latter are modeled here as infinite one-dimensional wires ($δ$-functions). Our goal is to single out such quantum-vacuum-driven interaction from the counterion-induced and water-related interactions. We obtain a universal, frustration-free Casimir-like (codimension 2) interaction that extensive numerical analysis show to be a good candidate to explain the formation and stability of DNA aggregates. Such Casimir energy is computed for a variety of configurations of up to 19 DNA strands in a hexagonal array. It is found to be strongly many-body.
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