Novikov V N, Sokolov A P
Department of Chemistry and Joint Institute for Neutron Sciences, University of Tennessee, Knoxville, Tennessee 37996, USA.
Chemical Sciences Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA.
Phys Rev E Stat Nonlin Soft Matter Phys. 2015 Dec;92(6):062304. doi: 10.1103/PhysRevE.92.062304. Epub 2015 Dec 14.
Analysis of the temperature dependence of the structural relaxation time τ(α)(T) in supercooled liquids revealed a qualitatively distinct feature-a sharp, cusplike maximum in the second derivative of logτ(α)(T)at some T(max). It suggests that the super-Arrhenius temperature dependence of τ(α)(T) in glass-forming liquids eventually crosses over to an Arrhenius behavior at T<T(max), and there is no divergence of τ(α)(T) at nonzero T. T(max) can be above or below T(g), depending on the sensitivity of τ(T) to a change in the liquid's density quantified by the exponent γ in the scaling τ(α)(T)∼exp(A/Tρ(-γ)). These results might turn the discussion of the glass transition in a different direction-toward the origin of the limiting activation energy for structural relaxation at low T.
对过冷液体中结构弛豫时间τ(α)(T)的温度依赖性分析揭示了一个定性上截然不同的特征——在某个T(max)处,logτ(α)(T)的二阶导数出现尖锐的、类似尖点的最大值。这表明玻璃形成液体中τ(α)(T)的超阿伦尼乌斯温度依赖性最终在T<T(max)时转变为阿伦尼乌斯行为,并且在非零温度下τ(α)(T)不会发散。T(max)可以高于或低于T(g),这取决于τ(T)对由标度τ(α)(T)∼exp(A/Tρ(-γ))中的指数γ量化的液体密度变化的敏感性。这些结果可能会使玻璃转变的讨论转向一个不同的方向——朝着低温下结构弛豫的极限活化能的起源。