Durand M, Meyer H, Benzerara O, Baschnagel J, Vitrac O
Institut Charles Sadron, CNRS, 23 Rue du Loess-BP 84047, 67034 Strasbourg Cedex 2, France.
J Chem Phys. 2010 May 21;132(19):194902. doi: 10.1063/1.3420646.
The apparent analogy between the self-diffusion of linear oligomers in monodisperse systems, 2 up to 32 monomers, and their tracer diffusion in an entangled polymer matrix of length 256 is investigated by molecular dynamics simulations at constant pressure. Oligomers and polymers are represented by the same coarse-grained (bead-spring) model. An analysis based on the Rouse model is presented. The scaling relationship of the self-diffusion coefficient D with the chain length N written as D proportional, variantN(-alpha) is analyzed for a wide range of temperatures down to the glass transition temperature T(g). Near T(g), the heterogeneous dynamics is explored by the self-part of the van Hove distribution function and various non-Gaussian parameters. For the self-diffusion in a monodisperse system a scaling exponent alpha(T)>1 depending on temperature is found, whereas for the tracer diffusion in an entangled matrix alpha=1 is obtained at all temperatures, regardless of the oligomer length. The different scaling behavior between both systems is explained by a different monomer mobility, which depends on chain length for monodisperse systems, but is constant for all tracers in the polymer matrix.
通过恒压分子动力学模拟,研究了线性低聚物(2至32个单体)在单分散体系中的自扩散与其在长度为256的缠结聚合物基质中的示踪剂扩散之间的明显类比。低聚物和聚合物由相同的粗粒化(珠-弹簧)模型表示。给出了基于劳斯模型的分析。在直至玻璃化转变温度T(g)的广泛温度范围内,分析了自扩散系数D与链长N的标度关系,写成D∝N-α。在接近T(g)时,通过范霍夫分布函数的自部分和各种非高斯参数探索非均相动力学。对于单分散体系中的自扩散,发现标度指数α(T)>1,其取决于温度,而对于缠结基质中的示踪剂扩散,在所有温度下均获得α = 1,与低聚物长度无关。两种体系之间不同的标度行为由不同的单体迁移率解释,单体迁移率对于单分散体系取决于链长,但对于聚合物基质中的所有示踪剂是恒定的。