Kim Hye Sol, Kwon Taejin, Park Chung Bin, Sung Bong June
Department of Chemistry, Sogang University, Seoul 04107, Korea.
Polymers (Basel). 2021 Nov 22;13(22):4049. doi: 10.3390/polym13224049.
The time-temperature superposition (TTS) principle, employed extensively for the analysis of polymer dynamics, is based on the assumption that the different normal modes of polymer chains would experience identical temperature dependence. We aim to test the critical assumption for TTS principle by investigating poly(ethylene oxide) (PEO) melts, which have been considered excellent solid polyelectrolytes. In this work, we perform all-atom molecular dynamics simulations up to 300 ns at a range of temperatures for PEO melts. We find from our simulations that the conformations of strands of PEO chains in melts show ideal chain statistics when the strand consists of at least 10 monomers. At the temperature range of T= 400 to 300 K, the mean-square displacements (⟨Δr2(t)⟩) of the centers of mass of chains enter the Fickian regime, i.e., ⟨Δr2(t)⟩∼t1. On the other hand, ⟨Δr2(t)⟩ of the monomers of the chains scales as ⟨Δr2(t)⟩∼t1/2 at intermediate time scales as expected for the Rouse model. We investigate various relaxation modes of the polymer chains and their relaxation times (τn), by calculating for each strand of monomers. Interestingly, different normal modes of the PEO chains experience identical temperature dependence, thus indicating that the TTS principle would hold for the given temperature range.
时间 - 温度叠加(TTS)原理被广泛用于聚合物动力学分析,它基于这样一个假设:聚合物链的不同简正模式会经历相同的温度依赖性。我们旨在通过研究聚环氧乙烷(PEO)熔体来检验TTS原理的这一关键假设,PEO熔体被认为是优良的固体聚电解质。在这项工作中,我们对PEO熔体在一系列温度下进行了长达300纳秒的全原子分子动力学模拟。我们从模拟中发现,当链段由至少10个单体组成时,熔体中PEO链链段的构象呈现出理想的链统计特性。在T = 400至300 K的温度范围内,链质心的均方位移(⟨Δr2(t)⟩)进入菲克区域,即⟨Δr2(t)⟩∼t1。另一方面,如Rouse模型所预期的那样,在中间时间尺度上,链单体的⟨Δr2(t)⟩按⟨Δr2(t)⟩∼t1/2缩放。我们通过计算每个单体链段来研究聚合物链的各种弛豫模式及其弛豫时间(τn)。有趣的是,PEO链的不同简正模式经历相同的温度依赖性,因此表明TTS原理在给定温度范围内成立。