The Goldstone mode and resonances in the fluid interfacial region

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Title: The Goldstone mode and resonances in the fluid interfacial region
Authors: Parry, A
Rascon, C
Item Type: Journal Article
Abstract: The development of a molecular theory of inhomogeneous fluids and, in particular, of the liquid–gas interface has received enormous interest in recent years; however, long-standing attempts to extend the concept of surface tension in mesoscopic approaches by making it scale dependent, although apparently plausible, have failed to connect with simulation and experimental studies of the interface that probe the detailed properties of density correlations. Here, we show that a fully microscopic theory of correlations in the interfacial region can be developed that overcomes many of the problems associated with simpler mesoscopic ideas. This theory originates from recognizing that the correlation function displays, in addition to a Goldstone mode, an unexpected hierarchy of resonances that constrain severely its structural properties. Indeed, this approach allows us to identify new classes of fully integrable models for which, surprisingly, the tension, density profile and correlation function can all be determined analytically, revealing the microscopic structure of correlations in all generalized van der Waals theories.
Issue Date: 10-Dec-2018
Date of Acceptance: 26-Oct-2018
URI: http://hdl.handle.net/10044/1/65794
DOI: https://dx.doi.org/10.1038/s41567-018-0361-z
ISSN: 1745-2473
Publisher: Nature Publishing Group
Journal / Book Title: Nature Physics
Copyright Statement: © 2018 The Author(s), under exclusive licence to Springer Nature Limited.
Sponsor/Funder: Engineering & Physical Science Research Council (EPSRC)
Funder's Grant Number: EP/L020564/1
Keywords: 01 Mathematical Sciences
02 Physical Sciences
Fluids & Plasmas
Publication Status: Published online
Embargo Date: 2019-06-10
Online Publication Date: 2018-12-10
Appears in Collections:Mathematics
Applied Mathematics and Mathematical Physics
Faculty of Natural Sciences



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