A phenomenological approach to phase transition in classical field theory
type: Item
instance of: scholarly article
title: A phenomenological approach to phase transition in classical field theory
zbMATH Open document ID: 0629.73006
DOI: 10.1016/0020-7225(87)90024-3
published in: International Journal of Engineering Science
publication date: 1987-01-01T00:00:00Z
review text: In this work the authors presented a phenomenological approach to phase transition in classical field theory. For this, they utilize balance equations, derived by the same authors [ibid. 25, 1459-1468 (1987; Zbl 0624.73001)] of two different media \(C_ 1\) and \(C_ 2\) separated by the surface S. The balance equations comprise both the volume and surface S. Furthermore, they derived a set of constitutive equations for both volume and surface quantities. Some restrictions on these constitutive relations have been imposed through the thermodynamical inequalities. Finally, by substituting these constitutive relations into the balance equations and jump conditions, the authors obtained a boundary value problem for phase transitions modelled as a continuum with an interface. This work is quite interesting and might be useful for those researchers working on phase transition problems.
Mathematics Subject Classification ID: 74A15
Mathematics Subject Classification ID: 74A20
Mathematics Subject Classification ID: 74Axx
zbMATH DE Number: 4024865
zbMATH Keywords: surface constitutive equations
zbMATH Keywords: continuum with interface
zbMATH Keywords: phase transition
zbMATH Keywords: classical field theory
zbMATH Keywords: balance equations
zbMATH Keywords: thermodynamical inequalities
zbMATH Keywords: jump conditions
author: Francesco dell'Isola
author: A. Romano
reviewed by: Hilmi Demiray
MaRDI profile type: Publication
full work available at URL: 0020-7225(87)90024-3
OpenAlex ID: W1993799823
cites work: On the derivation of thermomechanical balance equations for continuous systems with a nonmaterial interface
cites work: Q5818096
cites work: On the uniqueness of compressible fluid motions
cites work: Method of Lagrange multipliers for exploitation of the entropy principle
cites work: A thermodynamic viscous interface theory and associated stability problems
description: scientific article; zbMATH DE number 4024865