Quantum mechanical interpretation of the minimum viscosity of metallic liquids

A. K. Gangopadhyay, Z. Nussinov, and K. F. Kelton
Phys. Rev. E 106, 054150 – Published 22 November 2022

Abstract

Possible fundamental quantum bounds for viscosity and many other physical properties have drawn serious considerations recently from diverse communities encompassing those studying quantum gravity, high-energy physics, condensed matter physics, strongly correlated electron systems, and “strange metals,” to name a few. However, little attention has been paid by materials scientists and the fluid dynamics community, perhaps because of the general belief that quantum mechanics is of little consequence for classical fluid dynamics. Here, considering the extrapolated high-temperature viscosity of 32 metallic alloy liquids as representative of minimum viscosity, experimental results are presented and evaluated in terms of a number of quantum- and statistical-mechanics-based theories. The surprising result is that the experimental data are within one order of magnitude of estimates from those theories. That quantum mechanics could be of importance at such high temperatures in conventional classical fluids is quite interesting. Another surprise is that the minimum viscosities of metallic alloy liquids are not too different from an archetypal quantum liquid, such as He.

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  • Received 16 September 2022
  • Accepted 2 November 2022

DOI:https://doi.org/10.1103/PhysRevE.106.054150

©2022 American Physical Society

Physics Subject Headings (PhySH)

Fluid Dynamics

Authors & Affiliations

A. K. Gangopadhyay1,*, Z. Nussinov1,2, and K. F. Kelton1

  • 1Department of Physics, Washington University in St. Louis, One Brookings Drive, St. Louis, Missouri 63130, USA
  • 2Rudolf Peierls Centre for Theoretical Physics, University of Oxford, Oxford OX1 3PU, United Kingdom

  • *anup@wuphys.wustl.edu

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Issue

Vol. 106, Iss. 5 — November 2022

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