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以缠结高分子链的质心在约束管子中作Brown运动为基本假定,在忽略有效管长的涨落下,得到解缠弛豫时间τ链长N的渐近依赖关系τ～N~3。在有限链长及约束管长涨落的条件下,采用计算机模拟得到关系式τ～N~(3.40±0.16)。这一结论合理地解释了缠结高分子链动力学的实验结果。
Based on the assumption that the centroid of the entangled polymer chain acts as a Brownian motion in a confining tube, the asymptotic dependence τ of the entanglement relaxation time τ-chain length N, τ ~ N ~ 3, is obtained under neglecting the fluctuation of effective tube length. Under the conditions of finite chain length and constraint length fluctuation, the relation of τ ~ N ~ (3.40 ± 0.16) was obtained by computer simulation. This conclusion can reasonably explain the experimental results of entanglement of polymer chains.