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Computing the Heat Conductivity of Fluids from Density Fluctuations

Bingqing Cheng and Daan Frenkel
Phys. Rev. Lett. 125, 130602 – Published 22 September 2020
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Abstract

Equilibrium molecular dynamics simulations, in combination with the Green-Kubo (GK) method, have been extensively used to compute the thermal conductivity of liquids. However, the GK method relies on an ambiguous definition of the microscopic heat flux, which depends on how one chooses to distribute energies over atoms. This ambiguity makes it problematic to employ the GK method for systems with nonpairwise interactions. In this work, we show that the hydrodynamic description of thermally driven density fluctuations can be used to obtain the thermal conductivity of a bulk fluid unambiguously, thereby bypassing the need to define the heat flux. We verify that, for a model fluid with only pairwise interactions, our method yields estimates of thermal conductivity consistent with the GK approach. We apply our approach to compute the thermal conductivity of a nonpairwise additive water model at supercritical conditions, and of a liquid hydrogen system described by a machine-learning interatomic potential, at 33 GPa and 2000 K.

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  • Received 2 May 2020
  • Accepted 1 September 2020

DOI:https://doi.org/10.1103/PhysRevLett.125.130602

© 2020 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied PhysicsStatistical Physics & ThermodynamicsGeneral Physics

Authors & Affiliations

Bingqing Cheng1,* and Daan Frenkel2

  • 1TCM Group, Cavendish Laboratory, University of Cambridge, J. J. Thomson Avenue, Cambridge CB3 0HE, United Kingdom and Trinity College, University of Cambridge, Cambridge CB2 1TQ, United Kingdom
  • 2Department of Chemistry, University of Cambridge, Lensfield Road, Cambridge, CB2 1EW, United Kingdom

  • *bc509@cam.ac.uk

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Issue

Vol. 125, Iss. 13 — 25 September 2020

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