On the Use of Generalized Coordinates to Describe the Temperature Dependence of Viscosity and Relaxation Time in the Glass Transition Region.

Alexey A Mashanov, Irina V Razumovskaya, Michael I Ojovan, Yulia A Batischeva, Migmar V Darmaev

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Article in Materials (Basel, Switzerland), 2026. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Not yet cited in PubMed.

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5 · Who and what money

Authors and funding

5 authors.

Alexey A MashanovDepartment of General and Theoretical Physics, Banzarov Buryat State University, Ulan-Ude 670000, Russia.ORCID 0000-0002-3363-9383

Irina V RazumovskayaDepartment of Theoretical Physics, Moscow State Pedagogical University, Moscow 119435, Russia.

Michael I OjovanSchool of Chemical, Materials and Biological Engineering, The University of Sheffield, Sheffield S1 3JD, UK.ORCID 0000-0001-8928-4879

Yulia A BatischevaDepartment of Theoretical Physics, Moscow State Pedagogical University, Moscow 119435, Russia.ORCID 0000-0002-9009-7808

Migmar V DarmaevDepartment of General and Theoretical Physics, Banzarov Buryat State University, Ulan-Ude 670000, Russia.ORCID 0000-0001-5270-5860

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

It is shown that the empirical Williams-Landel-Ferry (WLF) and Vogel-Fulcher-Tammann (VFT) equations, as well as the semiempirical equations of other researchers, for the viscosity η in the glass transition region are, in fact, hyperbolic functions of temperature with corresponding relationships between their parameters. The hyperbolic dependence can be derived from the mathematically common expansion of ln

Indexed as

fragilityglass transitionglass transition activation energyprinciple of corresponding statesrelaxation timeviscosityVogel–Fulcher–Tammann (VFT) equationWilliams–Landel–Ferry (WLF) equation

Identifiers

PMID42451893

DOI10.3390/ma19132814

PMCPMC13363500

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