2015/10/19 by V. N. Novikov, Alexei P. Sokolov, A. P. Sokolov
Chemistry · Materials Science · Mathematics · Physics and Astronomy · #Activation energy #Arrhenius equation #Chemistry #Condensed matter physics #Derivative (finance) #Exponent #Glass properties and applications #Glass transition #Material Dynamics and Properties #Materials science #Mathematics #Nuclear magnetic resonance #Physical chemistry #Physics #Polymer #Relaxation (psychology) #Scaling #Supercooling #Theoretical and Computational Physics #Thermodynamics #cond-mat.soft
paper · pdf · doi:10.1103/physreve.92.062304
arxiv created 2015/10/19 · openalex publication_date 2015/12/14 · arxiv updated 2016/01/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Analysis of the temperature dependence of the structural relaxation time \ensuremathτ_\ensuremathα(T) in supercooled liquids revealed a qualitatively distinct feature---a sharp, cusplike maximum in the second derivative of log\ensuremathτ_\ensuremathα(T)at some Tmax. It suggests that the super-Arrhenius temperature dependence of \ensuremathτ_\ensuremathα(T) in glass-forming liquids eventually crosses over to an Arrhenius behavior at T<Tmax, and there is no divergence of \ensuremathτ_\ensuremathα(T) at nonzero T. Tmax can be above or below Tg, depending on the sensitivity of \ensuremathτ(T) to a change in the liquid's density quantified by the exponent \ensuremathγ in the scaling \ensuremathτ_\ensuremathα(T)\ensuremath∼exp(A/T\ensuremathρ^\ensuremath-\ensuremathγ). 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.