First order phase transitions and the thermodynamic limit

We consider simple mean field continuum models for first order liquid–liquid demixing and solid–liquid phase transitions and show how the Maxwell construction at phase coexistence emerges on going from finite-size closed systems to the thermodynamic limit. The theories considered are the Cahn–Hillia...

Authors: Thiele, Uwe
Frohoff-Hülsmann, Tobias
Engelnkemper, Sebastian
Knobloch, Edgar
Archer, Andrew J.
Document types:Article
Media types:Text
Publication date:2019
Date of publication on miami:19.12.2019
Modification date:19.12.2019
Edition statement:[Electronic ed.]
Source:New Journal of Physics 21 (2019) 123021, 1-21
Subjects:Maxwell construction; mean-field models; localized structures; phase separation; colloidal crystallization; Cahn–Hilliard model; phase field crystal model
DDC Subject:530: Physik
License:CC BY 3.0
Language:English
Format:PDF document
URN:urn:nbn:de:hbz:6-12189448142
Permalink:http://nbn-resolving.de/urn:nbn:de:hbz:6-12189448142
Other Identifiers:DOI: 10.1088/1367-2630/ab5caf
Digital documents:artikel_thiele_2019.pdf

We consider simple mean field continuum models for first order liquid–liquid demixing and solid–liquid phase transitions and show how the Maxwell construction at phase coexistence emerges on going from finite-size closed systems to the thermodynamic limit. The theories considered are the Cahn–Hilliard model of phase separation, which is also a model for the liquid-gas transition, and the phase field crystal model of the solid–liquid transition. Our results show that states comprising the Maxwell line depend strongly on the mean density with spatially localized structures playing a key role in the approach to the thermodynamic limit.