Thiele_2019_New_J._Phys._21_123021.pdf (1.59 MB)
First order phase transitions and the thermodynamic limit
journal contribution
posted on 2019-11-25, 14:19 authored by Uwe Thiele, Tobias Frohoff-Hülsmann, Sebastian Engelnkemper, Edgar Knobloch, Andrew ArcherAndrew ArcherWe 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.
Funding
National Science Foundation (USA) under grants DMS-1613132 and DMS-1908891
EPSRC under grant EP/P015689/1
History
School
- Science
Department
- Mathematical Sciences
Published in
New Journal of PhysicsVolume
21Issue
12Publisher
IOPVersion
- AM (Accepted Manuscript)
Rights holder
© The AuthorsPublisher statement
This is an Open Access Article. It is published by IOP under the Creative Commons Attribution 3.0 Unported Licence (CC BY). Full details of this licence are available at: http://creativecommons.org/licenses/by/3.0/Acceptance date
2019-11-27Publication date
2019-12-13Copyright date
2019ISSN
1367-2630eISSN
1367-2630Publisher version
Language
- en