期刊
NEW JOURNAL OF PHYSICS
卷 21, 期 12, 页码 -出版社
IOP Publishing Ltd
DOI: 10.1088/1367-2630/ab5caf
关键词
Maxwell construction; mean-field models; localized structures; phase separation; colloidal crystallization; Cahn-Hilliard model; phase field crystal model
资金
- National Science Foundation (USA) [DMS-1908891, DMS-1613132]
- EPSRC [EP/P015689/1]
- University of Munster
- EPSRC [EP/P015689/1] Funding Source: UKRI
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.
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