Some considerations of fluid interfaces in two dimensions
type: Item
instance of: scholarly article
title: Some considerations of fluid interfaces in two dimensions
zbMATH Open document ID: 0625.76113
DOI: 10.1007/BF01010014
author: Frank P. Buff
author: Mark A. Robert
published in: Journal of Statistical Physics
publication date: 1985-01-01T00:00:00Z
review text: Basic assumptions of the capillary wave theory of fluid interfaces are examined critically as a function of space dimensionality d. When the predictions of capillary wave theory are compared with those of the nonclassical Maxwell-van der Waals theory, agreement is found in \(d=3\) and 4, but strong disagreement occurs in \(d=2\). It is shown that the total effective mass density obtained from the Hamiltonian describing the collective capillary wave excitations has a logarithmic divergence in \(d=2\). This result suggests the possibility of anomalous behavior for fluid interfaces in \(d=2\).
Mathematics Subject Classification ID: 76T99
Mathematics Subject Classification ID: 76B45
Mathematics Subject Classification ID: 76M99
zbMATH DE Number: 4016521
zbMATH Keywords: capillary wave theory
zbMATH Keywords: fluid interfaces
zbMATH Keywords: nonclassical Maxwell-van der Waals theory
zbMATH Keywords: collective capillary wave excitations
MaRDI profile type: Publication
cites work: Q4154221
full work available at URL: https://doi.org/10.1007/bf01010014
OpenAlex ID: W2047368135
description: scientific article; zbMATH DE number 4016521