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From boiling point to glass transition temperature: Transport coefficients in molecular liquids follow three-parameter scaling

B. Schmidtke, N. Petzold, R. Kahlau, M. Hofmann, and E. A. Rössler*

  • Universität Bayreuth, Experimentalphysik II, D-95440 Bayreuth, Germany

  • *Corresponding author.

Phys. Rev. E 86, 041507 – Published 19 October, 2012

DOI: https://doi.org/10.1103/PhysRevE.86.041507

Abstract

The phenomenon of the glass transition is an unresolved problem in condensed matter physics. Its prominent feature, the super-Arrhenius temperature dependence of the transport coefficients, remains a challenge to be described over the full temperature range. For a series of molecular glass formers, we combined τ(T) collected from dielectric spectroscopy and dynamic light scattering covering a range 1012 s < τ(T) < 102 s. Describing the dynamics in terms of an activation energy E(T), we distinguish a high-temperature regime characterized by an Arrhenius law with a constant activation energy E and a low-temperature regime for which Ecoop(T) ≡ E(T)–E increases exponentially while cooling. A scaling is introduced, specifically Ecoop(T)/E ∝ exp[–λ(T/TA–1)], where λ is a fragility parameter and TA a reference temperature proportional to E. In order to describe τ(T) still the attempt time τ has to be specified. Thus, a single interaction parameter E describing the high-temperature regime together with λ controls the temperature dependence of low-temperature cooperative dynamics.

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