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arXiv 2209.06174cond-mat.mtrl-sci
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多分散溶液中液相-玻璃相转变的热力学研究

Thermodynamic approach to liquid-to-glass transformation as an arrest transition in polydisperse solution

Vladimir Belostotsky

摘要:

热力学多组分溶液凝固方法的液体到玻璃化转变的建议和实际机制的玻璃化,而不是粘性减速,被确定。由于液态下的多分散聚集,玻璃形成液体,不管化学组成如何,似乎是各种准组分的混合物,其热力学量不应以实际化学组分的摩尔浓度表示,而是以主要结构单元的相对浓度表示。从热力学上讲,任何玻璃形成剂都将表现为多组分溶液,并在表观液相线和固相线温度之间的连续温度范围内固化,该温度范围可被确定为玻璃化转变范围。使用扩展的不可逆热力学的多分散性的解决方案,它表明,在淬火,扩散和布朗在这样的解决方案中的质量传递是否定的热去除时间尺度内,这导致在动态逮捕成核和生长的集群和固-液相分离。快速溶液固化通过连续温度范围内的连续团簇冻结进行,与团簇尺寸分散性一致,这可以用静态多分散分形系综中的渗滤来描述,其中玻璃化转变温度自然出现为渗滤阈值。多组分溶液凝固框架被证明是协调定性和定量与模式耦合-随机一阶跃迁的情况。最后,论证了液-玻璃转变是热力学液-固相变,物质的玻璃态表现为缺陷在理想基体中的固体过饱和溶液,玻璃不能达到的真正平衡结构是晶态结构。

英文摘要:

Thermodynamic multi-component solution solidification approach to liquid-to-glass transition is proposed and actual mechanisms underlying vitrification, other than viscous slowdown, are identified. Due to polydisperse aggregation in liquid state, glass-forming liquids, irrespective of chemical composition, appear to be mixtures of various quasi-components whose thermodynamic quantities shall be expressed not in terms of molar concentrations of actual chemical components, but in terms of relative concentrations of dominant structural units. Thermodynamically, any glass-former is expected to behave as multi-component solution and solidify in continuous temperature range between apparent liquidus and solidus temperatures that can be identified as glass-transition range. Using extended irreversible thermodynamics of polydisperse solutions it is demonstrated that upon quenching, diffusional and Brownian mass transport in such solutions is negated within heat removal timescale, which results in dynamical arrest of nucleation and growth in clusters and solid-liquid phase separation. Rapid solution solidification proceeds via successive cluster freezing in continuous temperature range, in line with cluster size dispersity, which can be described in terms of percolation in static polydisperse fractal ensemble where glass transition temperature naturally emerges as percolation threshold. Multi-component solution solidification framework is shown to be reconcilable qualitatively and quantitatively with the Mode Coupling - Random First Order Transition scenario. Finally, it is demonstrated that liquid-to-glass transformation is thermodynamic liquid-to-solid phase transition, glassy state of matter appears to be solid supersaturated solution of defects in otherwise perfect matrix, and the true equilibrium structure which glass is unable access is a crystalline one.

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