arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 0909.2128cond-mat.soft
收藏

分子内势垒对聚合物玻璃化转变的作用:计算机模拟与模式耦合理论

The Role of Intramolecular Barriers on the Glass Transition of Polymers: Computer Simulations vs. Mode Coupling Theory

Marco Bernabei, Angel J. Moreno, Juan Colmenero

摘要:

我们提出了一个简单的珠弹簧模型的分子内障碍的聚合物熔体的计算机模拟。通过系统地调整屏障的强度,我们研究了它们对玻璃化转变的作用。动态可观的模式耦合理论(MCT)的框架内进行了分析。临界非遍历性参数,临界温度和动力学指数的模拟数据的一致性拟合MCT渐近定律。这样得到的MCT $λ$指数从完全柔性链的标准值增加到接近刚性链的上限值。在类比与系统表现出高阶MCT转换,我们建议,所观察到的大$λ$ -值出现形式之间的相互作用的两个不同的机制动态逮捕:一般包装效果和聚合物的特定分子内障碍。我们比较模拟结果与数值解的MCT方程的聚合物系统,在聚合物参考相互作用网站模型(PRISM)的静态相关性。我们验证了由PRISM引入的近似满足模拟,具有相同的质量为所有范围内的调查屏障强度。数值解再现了模拟的非遍历性参数和临界温度对势垒强度的依赖性的定性趋势。特别地,在固定密度下,阻挡强度的增加增加了局部化长度和临界温度。然而,在刚性链的限制下,理论和模拟之间的定性一致性被打破。我们讨论了这一特点的可能起源。

英文摘要:

We present computer simulations of a simple bead-spring model for polymer melts with intramolecular barriers. By systematically tuning the strength of the barriers, we investigate their role on the glass transition. Dynamic observables are analyzed within the framework of the Mode Coupling Theory (MCT). Critical nonergodicity parameters, critical temperatures and dynamic exponents are obtained from consistent fits of simulation data to MCT asymptotic laws. The so-obtained MCT $λ$-exponent increases from standard values for fully-flexible chains to values close to the upper limit for stiff chains. In analogy with systems exhibiting higher-order MCT transitions, we suggest that the observed large $λ$-values arise form the interplay between two distinct mechanisms for dynamic arrest: general packing effects and polymer-specific intramolecular barriers. We compare simulation results with numerical solutions of the MCT equations for polymer systems, within the polymer reference interaction site model (PRISM) for static correlations. We verify that the approximations introduced by the PRISM are fulfilled by simulations, with the same quality for all the range of investigated barrier strength. The numerical solutions reproduce the qualitative trends of simulations for the dependence of the nonergodicity parameters and critical temperatures on the barrier strength. In particular, the increase of the barrier strength at fixed density increases the localization length and the critical temperature. However the qualitative agreement between theory and simulation breaks in the limit of stiff chains. We discuss the possible origin of this feature.

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。

↑