A phase field model for liquid-vapour phase transition

We propose a model describing the liquid-vapour phase transition according to a phase-field method. A phase variable ϕ is introduced whose equilibrium values ϕ = 0 and ϕ = 1 are associated with the liquid and vapour phases. The phase field obeys Ginzburg-Landau equation and enters the consti- tutive relation of the density, accounting for the sudden density jump occurring at the phase transition. In this paper we concern ourselves especially with the problems arising in the phase field approach due to the existence of the critical point in the coexistence line, which entails the merging of the phases described by ϕ.

Data di pubblicazione: 2013
Titolo: A phase field model for liquid-vapour phase transition
Autori: V. Berti; M. Fabrizio; D. Grandi
Rivista: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES S
Parole Chiave: Liquid-vapour phase transitions, critical point, thermodynamics
Abstract in inglese: We propose a model describing the liquid-vapour phase transition according to a phase-field method. A phase variable ϕ is introduced whose equilibrium values ϕ = 0 and ϕ = 1 are associated with the liquid and vapour phases. The phase field obeys Ginzburg-Landau equation and enters the consti- tutive relation of the density, accounting for the sudden density jump occurring at the phase transition. In this paper we concern ourselves especially with the problems arising in the phase field approach due to the existence of the critical point in the coexistence line, which entails the merging of the phases described by ϕ.
Digital Object Identifier (DOI): 10.3934/dcdss.2013.6.317
Handle: http://hdl.handle.net/11392/2362488
Appare nelle tipologie:03.1 Articolo su rivista

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