A phase field model for liquid-vapour phase transitions

DOI10.3934/DCDSS.2013.6.317zbMATH Open1260.35216arXiv1012.2569OpenAlexW2964088640MaRDI QIDQ1942772

V. Berti, D. Grandi, Mauro Fabrizio

Publication date: 14 March 2013

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Abstract: We propose a model describing the liquid-vapour phase transition according to a phase-field approach. The model takes up a setting proposed by the second author, where a phase field is introduced whose equilibrium values 0 and 1 are associated to the liquid and vapour phases. The phase field obeys Ginzburg-Landau equation and enters the constitutive relation of the density, accounting for the sudden density jump occurring at the phase transition. In this paper we concern ourselves with the extension of this model to take into account the existence of the critical point in the coexistence line.

Full work available at URL: https://arxiv.org/abs/1012.2569

zbMATH Keywords

thermodynamicscritical pointliquid-vapour phase transitions

Mathematics Subject Classification ID

Critical phenomena in equilibrium statistical mechanics (82B27) Liquid-gas two-phase flows, bubbly flows (76T10) Ginzburg-Landau equations (35Q56)

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