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Title: The pressure tensor across a liquid-vapour interface
Authors: Braga, C.C.
Smith, Edward
Nold, Andreas
Sibley, David N.
Kalliadasis, Serafim
Issue Date: 2018
Publisher: AIP Publishing © Authors
Citation: BRAGA, C.C. ...et al., 2018. The pressure tensor across a liquid-vapour interface. Journal of Chemical Physics, 149 (4), 044705.
Abstract: Inhomogeneous fluids exhibit physical properties that are neither uniform nor isotropic. The pressure tensor is a case in point, key to the mechanical description of the interfacial region. Kirkwood and Buff, and later Irving and Kirkwood, obtained a formal treatment based on the analysis of the pressure across a planar surface [J.G. Kirkwood and F.P. Buff, J. Chem. Phys., 17(3), (1949), J.H. Irving and J.G. Kirkwood, J. Chem. Phys. 18, 817 (1950)]. We propose a generalisation of Irving and Kirkwood’s argument to fluctuating, non-planar surfaces and obtain an expression for the pressure tensor that is not smeared by thermal fluctuations at the molecular scale and corresponding capillary waves [F.P. Buff, R.A. Lovett, and F.H. Stillinger, Jr., Phys. Rev. Lett. 15, 621 (1965)]. We observe the emergence of surface tension, defined as an excess tangential stress, acting exactly across the dividing surface at the sharpest molecular resolution. The new statistical mechanical expressions extend current treatments to fluctuating inhomogeneous systems far from equilibrium.
Description: This is an Open Access Article. It is published by AIP Publishing under the Creative Commons Attribution 4.0 International Licence (CC BY). Full details of this licence are available at: https://creativecommons.org/licenses/by/4.0/
Sponsor: We acknowledge financial support from the European Research Council (ERC) through Advanced Grant No. 247031 and by the Engineering and Physical Sciences Research Council (EPSRC) of the UK through Grant No. EP/L020564.
Version: Published
DOI: 10.1063/1.5020991
URI: https://dspace.lboro.ac.uk/2134/33413
Publisher Link: https://doi.org/10.1063/1.5020991
ISSN: 0021-9606
Appears in Collections:Published Articles (Maths)

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