公共熵和自由体积在玻璃化转变附近粘度发散中的作用：一种新的概念方法
The Role of the Communal Entropy and Free Volume for the Viscosity Divergence near the Glass Transition: A New Conceptual Approach
摘要：
研究玻璃的传统方法要么需要考虑过量熵Δ Sex的快速下降，要么需要考虑自由体积Vf。由于这两个量彼此不直接相关，因此两种方法中的粘度在相同温度下不发散，这对发散和理想玻璃化转变（IG）的物理意义产生了怀疑。通过引用最近发展的非平衡态热力学，我们确定了瞬时温度，压力，熵等，并发现他们放松的方式。我们证明，通过用适当定义的公共熵S^x（不要与构型熵混淆）代替ΔS_ex，在IG处，玻璃被堵塞，没有自由体积和公共熵，V_f同时消失。利用这一事实，有没有热力学奇异性的熵的过冷液体在IG，我们表明，目前存在的各种现象变得统一。
英文摘要：
The conventional approach to study glasses either requires considering the rapid drop in the excess entropy ΔS_ex or the free volume V_f. As the two quantities are not directly related to each other, the viscosity in the two approaches do not diverge at the same temperature, which casts doubt on the physical significance of the divergence and of the ideal glass transition (IG). By invoking a recently developed nonequilibrium thermodynamics, we identify the instantaneous temperature, pressure, entropy, etc. and discover the way they relax. We show that by replacing ΔS_ex by a properly defined communal entropy S^comm (not to be confused with the configurational entropy) and V_f vanish simultaneously at IG, where the glass is jammed with no free volume and communal entropy. By exploiting the fact that there are no thermodynamic singularities in the entropy of the supercooled liquid at IG, we show that various currently existing phenomenologies become unified.
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