Simple theory of viscosity in liquids

Jean Bellissard and Takeshi Egami
Phys. Rev. E 98, 063005 – Published 21 December 2018

Abstract

A simplistic model of atomic dynamics in liquid, based on the concept of dynamic fluctuations in local atomic connectivity, is proposed to elucidate the temperature variation of the viscosity of a material in its liquid phase. Within the simplifications and hypothesis made to define the model, it is possible to explain the crossover from a simple liquid to a cooperative liquid and covariance of viscosity near the glass transition temperature. The model is a mechanical analog of the Drude model for the electric transport in metal.

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  • Received 20 June 2018

DOI:https://doi.org/10.1103/PhysRevE.98.063005

©2018 American Physical Society

Physics Subject Headings (PhySH)

  1. Research Areas
Condensed Matter, Materials & Applied PhysicsFluid Dynamics

Authors & Affiliations

Jean Bellissard*

  • School of Mathematics and School of Physics, Georgia Institute of Technology, Atlanta, Georgia 30332, USA and Fachbereich Mathematik und Informatik, Westfälische Wilhelms-Universität, 48149 Münster, Germany

Takeshi Egami

  • Department of Materials Science and Engineering and Department of Physics and Astronomy, University of Tennessee, Knoxville, Tennessee 37996, USA and Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA

  • *jeanbel@math.gatech.edu

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Issue

Vol. 98, Iss. 6 — December 2018

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