First order phase transitions and the thermodynamic limit
Thiele, U.; Frohoff-Huelsmann, T.; Engelnkemper, S.; Knobloch, E.; Archer, A. J.
Research article (journal) | Peer reviewedAbstract
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.
Details about the publication
Journal: New Journal of Physics (New J. Phys.)
Volume: 21
Status: Published
Release year: 2019
Language in which the publication is written: English
Keywords: Physik weicher Materie; Musterbildung und Selbstorganisation; Bifurkationstheorie; Lokalisierte Zustände; Homoklines Schlängeln; Cahn-Hilliard Modell; Phasenfeldkristallmodell; Entmischungsdynamik; Phasendiagramm; Numerische Kontinuierung; Maxwell construction; mean-field models; localized structures; phase separation; colloidal crystallization; Cahn-Hilliard model; phase field crystal model
Authors from the University of Münster
| Engelnkemper, Sebastian | Professur für Theoretische Physik (Prof. Thiele) |
| Frohoff-Hülsmann, Tobias | Professur für Theoretische Physik (Prof. Thiele) |
| Thiele, Uwe | Professur für Theoretische Physik (Prof. Thiele) Center for Nonlinear Science Center for Multiscale Theory and Computation (CMTC) |
Projects the publication originates from
Duration: since 01/01/2014 Type of project: Own resources project |
Promotionen, aus denen die Publikation resultiert
| Pattern formation with mass conservation
From passive to active models Candidate: Frohoff-Hülsmann, Tobias | Supervisors: Thiele, Uwe; Gurevich, Svetlana | Reviewers: Thiele, Uwe; Gurevich, Svetlana; Krenner, Hubert; Bär, Markus Period of time: 01/10/2017 - 21/04/2023 Doctoral examination procedure finished at: Doctoral examination procedure at University of Münster |