Dependence of the width of the glass transition interval on cooling and heating rates.
Dependence of the width of the glass transition interval on cooling and heating rates.
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DOI：
10.1063/1.4775802
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发表时间：
2013-01
期刊：
影响因子：
--
通讯作者：
J. Schmelzer;T. V. Tropin
中科院分区：
文献类型：
--
作者：
J. Schmelzer;T. V. Tropin
在前一篇论文中[J.W.P.Schmelzer，J.Chem.太棒了。136,074512(2012年)]，提出了玻璃形成的一般动力学判据，使人们能够从理论上确定玻璃转变温度与冷却和升温速率的依赖关系(或类似地，取决于决定稳定或亚稳态平衡系统向系统的冻结、非平衡状态转变的任何适当控制参数的变化率)。本文利用这一判据，推导出了玻璃化转变区间的上下界和宽度与外部控制参数变化率的关系的解析表达式。此外，结果还表明，玻璃化转变区的宽度与玻璃化转变温度下的熵产生密切相关。数值计算对分析结果进行了补充。分析结果与数值计算结果以及已有的实验数据吻合较好。
In a preceding paper [J. W. P. Schmelzer, J. Chem. Phys. 136, 074512 (2012)], a general kinetic criterion of glass formation has been advanced allowing one to determine theoretically the dependence of the glass transition temperature on cooling and heating rates (or similarly on the rate of change of any appropriate control parameter determining the transition of a stable or metastable equilibrium system into a frozen-in, non-equilibrium state of the system, a glass). In the present paper, this criterion is employed in order to develop analytical expressions for the dependence of the upper and lower boundaries and of the width of the glass transition interval on the rate of change of the external control parameters. It is shown, in addition, that the width of the glass transition range is strongly correlated with the entropy production at the glass transition temperature. The analytical results are supplemented by numerical computations. Analytical results and numerical computations as well as existing experimental data are shown to be in good agreement.