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Forbidden glasses and the failure of fictive temperature

机译:禁止戴眼镜和虚构温度失效

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摘要

Traditional glass formation involves the cooling of a liquid at a rate fast enough to avoid crystallization. The glass transition process and the resulting glassy state can be modeled using the enthalpy landscape approach, which involves mapping the configurational space to a discrete set of basins and the connect_ing transition points. At equilibrium, the probability of occupying any basin is given by the Boltzmann distribution. Na_vely, one might expect that a nonequilibrium glassy system could form in any region of this probability space. In this paper, we show that only a small subset of the probability space is acces_sible to glasses formed by cooling from a melt. As a consequence, the physical properties of a glass are restricted to those corresponding to this limited region of phase space. For any realistic glass-forming sys_tem, the majority of phase space is forbidden, inaccessible from any thermal treatment path. In addition, we show that the fictive temperature description of the glassy state is valid only in the case of a simple two-basin landscape and cannot be applied to more complicated systems. In other words, the nonequi_librium state of a glass cannot be described in terms of any linear combination of equilibrium states.
机译:传统的玻璃形成需要以足够快的速度冷却液体以避免结晶。可以使用焓景观法对玻璃化转变过程和所产生的玻璃态进行建模,该方法包括将配置空间映射到一组离散的盆地和连接转变点。在平衡状态下,占据任何盆地的概率由玻尔兹曼分布给出。天真的,人们可能希望在此概率空间的任何区域中都可能形成非平衡玻璃状系统。在本文中,我们显示了由熔化物冷却而形成的玻璃仅能进入概率空间的一小部分。结果,玻璃的物理特性被限制为与相空间的该有限区域相对应的那些物理特性。对于任何现实的玻璃成型系统,大多数相空间都是禁止的,从任何热处理路径都无法访问。此外,我们证明玻璃态的虚拟温度描述仅在简单的两盆景观下才有效,并且不能应用于更复杂的系统。换句话说,不能用平衡态的任何线性组合来描述玻璃的非平衡态。

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