边缘紧超支polymer树
Marginally compact hyperbranched polymer trees
摘要：
假设沿链轮廓的高斯链统计，我们通过一个适当的分形生成器生成超支化聚合物树，这是边缘紧凑。静态和动态性能，如径向链内对密度分布或剪切应力松弛模量，理论和计算机模拟的手段进行了研究。我们强调，虽然自接触密度发散与总质量$N$，这种效果变得迅速无关增加间隔长度$S$。除此之外，可以看出，标准的劳斯分析必须成为不适当的紧凑对象的模式$p$的弛豫时间$τ_p$必须缩放为$τ_p \sim (N/p)^{5/3}$，而不是通常的平方幂律的线性链。
英文摘要：
Assuming Gaussian chain statistics along the chain contour, we generate by means of a proper fractal generator hyperbranched polymer trees which are marginally compact. Static and dynamical properties, such as the radial intrachain pair density distribution or the shear-stress relaxation modulus, are investigated theoretically and by means of computer simulations. We emphasize that albeit the self-contact density diverges logarithmically with the total mass $N$, this effect becomes rapidly irrelevant with increasing spacer length $S$. In addition to this it is seen that the standard Rouse analysis must necessarily become inappropriate for compact objects for which the relaxation time $τ_p$ of mode $p$ must scale as $τ_p \sim (N/p)^{5/3}$ rather than the usual square power law for linear chains.
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。
