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Local pressure for confined systems

Paolo Malgaretti* and Markus Bier†

  • Max Planck Institute for Intelligent Systems, Heisenbergstrasse 3, 70569 Stuttgart, Germany and Institute for Theoretical Physics IV, University of Stuttgart, Pfaffenwaldring 57, 70569 Stuttgart, Germany

  • *malgaretti@is.mpg.de
  • †bier@is.mpg.de
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Phys. Rev. E 97, 022102 – Published 2 February, 2018

DOI: https://doi.org/10.1103/PhysRevE.97.022102

Abstract

We derive a general closed expression for the local pressure exerted onto the corrugated walls of a channel confining a fluid medium. When the fluid medium is at equilibrium, the local pressure is a functional of the shape of the walls. It is shown that, due to the intrinsic nonlocal character of the interactions among the particles forming the fluid, the applicability of approximate schemes such as the concept of a surface of tension or morphometric thermodynamics is limited to wall curvatures that are small compared to the range of particle-particle interactions.

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Phys. Rev. E 97, 022102– Published 2 February, 2018
  • Received 3 November 2017
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