Local pressure for confined systems
arXiv:1711.02028 · doi: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 non-local 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 small compared to the range of particle-particle interactions.
arXiv commentcorrections of typos of the previous version and reorganization of part of the material in an additional appendix
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