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From boiling point to glass transition temperature: Transport coefficients in molecular liquids follow three-parameter scaling
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() collected from dielectric spectroscopy and dynamic light scattering covering a range 10 s < τ() < 10 s. Describing the dynamics in terms of an activation energy (), we distinguish a high-temperature regime characterized by an Arrhenius law with a constant activation energy and a low-temperature regime for which () ≡ ()– increases exponentially while cooling. A scaling is introduced, specifically ()/ ∝ exp[–λ(/–1)], where λ is a fragility parameter and a reference temperature proportional to . In order to describe τ() still the attempt time has to be specified. Thus, a single interaction parameter describing the high-temperature regime together with λ controls the temperature dependence of low-temperature cooperative dynamics.
Article Text
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