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First order phase transitions and the thermodynamic limit

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journal contribution
posted on 25.11.2019, 14:19 by Uwe Thiele, Tobias Frohoff-Hülsmann, Sebastian Engelnkemper, Edgar Knobloch, Andrew ArcherAndrew Archer
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.

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 Physics

Volume

21

Issue

12

Publisher

IOP

Version

AM (Accepted Manuscript)

Rights holder

© The Authors

Publisher 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

27/11/2019

Publication date

2019-12-13

Copyright date

2019

ISSN

1367-2630

eISSN

1367-2630

Language

en

Depositor

Prof Andrew Archer Deposit date: 22 November 2019

Article number

123021