arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2311.09321cond-mat.softcond-mat.dis-nncond-mat.mtrl-sciphysics.app-ph
收藏

玻璃态聚合物中拉伸指数、压缩指数和对数弛豫现象的统一物理框架

Unified physical framework for stretched-exponential, compressed-exponential, and logarithmic relaxation phenomena in glassy polymers

Valeriy V. Ginzburg, Oleg V. Gendelman, Alessio Zaccone

AI总结:

本研究基于两态两时间尺度框架构建Trachenko-Zaccone方程非线性模型,统一解释玻璃态聚合物多种弛豫规律,可还原经典定律并匹配聚苯乙烯相关实验,厘清不同弛豫的物理起源。

摘要:

我们建立了一个简洁且全面的非线性模型,用于描述玻璃化转变温度附近非晶态玻璃形成体中的弛豫现象。该模型基于两态两时间尺度(TS2)框架,通过描述局部协同事件的简单一阶非线性微分方程(Trachenko-Zaccone [TZ]方程),来刻画比体积、焓或剪切应力的等温弛豫过程。协同重排区域(CRR)的这些非线性动力学特性,可自然地从TS2框架中推导得出。我们证明,TZ方程的解完整涵盖了Debye指数弛豫、Kohlrausch-Williams-Watts(KWW)拉伸与压缩弛豫,以及Guiu-Pratt对数弛豫。此外,在应力弛豫建模场景下,我们的模型在其中一个极限情形下可还原描述塑性流动的Eyring定律,其中Eyring激活体积与材料的热力学参数相关。我们以聚苯乙烯(PS)为例,展示了该模型如何成功描述Kovacs“趋近不对称”比体积与焓实验,以及应力弛豫过程。文中还讨论了该模型的其他潜在应用,包括介电弛豫。所提出的方法基于底层物理机制,在单一通用框架内厘清了不同弛豫规律的物理起源。

英文摘要:

We develop a simple yet comprehensive nonlinear model to describe relaxation phenomena in amorphous glass-formers near the glass transition temperature. The model is based on the two-state, two-(time)scale (TS2) framework, and describes the isothermal relaxation of specific volume, enthalpy, or shear stress via a simple first-order nonlinear differential equation (the Trachenko-Zaccone [TZ] equation) for local cooperative events. These nonlinear dynamics of cooperatively rearranging regions (CRR) naturally arise from the TS2 framework. We demonstrate that the solutions of the TZ equation comprehensively encompass the Debye exponential relaxation, the Kohlrausch-Williams-Watts (KWW) stretched and compressed relaxations, and the Guiu-Pratt logarithmic relaxation. Furthermore, for the case of stress relaxation modeling, our model recovers, as one of its limits, the Eyring law for plastic flow, where the Eyring activation volume is related to thermodynamic parameters of the material. Using the example of polystyrene (PS), we demonstrate how our model successfully describes the Kovacs "asymmetry of approach" specific volume and enthalpy experiments, as well as the stress relaxation. Other potential applications of the model, including the dielectric relaxation, are also discussed. The presented approach disentangles the physical origins of different relaxation laws within a single general framework based on the underlying physics.

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。

↑