Spatial monomer distribution for a flexible polymer in a good solvent
Spatial monomer distribution for a flexible polymer in a good solvent
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良溶剂中柔性聚合物的空间单体分布
DOI：
10.1063/1.441330
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发表时间：
1981
期刊：
影响因子：
--
通讯作者：
L. Schäfer
中科院分区：
文献类型：
--
作者：
T. Witten;L. Schäfer
在排除体积限制的情况下，我们计算了柔性线性聚合物中单体-单体平均分离的四阶矩<R4>。比率<R4>/<R2>2是可用指数γ和ν表示的普适数。排除体积链的这一比例比理想体积链小8%。为了解释排除的体积相互作用，我们用场理论方法对Mayer-Fixman团簇展开进行了重新正规化。我们的在空间负四维展开的近似方法引入了1%的估计不确定度。端点力矩比<r4e>/<r2e>2的行为类似。
We calculate the fourth moment 〈r4〉 of the average monomer–monomer separation in a flexible linear polymer in the excluded volume limit. The ratio 〈r4〉/〈r2〉2 is a universal number expressible in terms of the exponents γ and ν. The ratio is 8% smaller for the excluded volume chain than for the ideal chain. To account for the excluded volume interaction we use field theory methods to renormalize the Mayer–Fixman cluster expansion. Our approximation method of expanding in dimension of space minus four introduces an estimated uncertainty of 1%. The end point moment ratio 〈r4e〉/〈r2e〉2 behaves similarly.