First order phase transitions and the thermodynamic limit

被引：24

作者：

Thiele, Uwe ^{[1
,2
,3
]}

Frohoff-Huelsmann, Tobias ^{[1
]}

Engelnkemper, Sebastian ^{[1
]}

Knobloch, Edgar ^{[4
]}

Archer, Andrew J. ^{[5
,6
]}

机构：

[1] Westfalische Wilhelms Univ Munster, Inst Theoret Phys, Wilhelm Klemm Str 9, D-48149 Munster, Germany

[2] Westfalische Wilhelms Univ Munster, Ctr Nonlinear Sci CeNoS, Corrensstr 2, D-48149 Munster, Germany

[3] Westfalische Wilhelms Univ, CMTC, Corrensstr 40, D-48149 Munster, Germany

[4] Univ Calif Berkeley, Dept Phys, Berkeley, CA 94720 USA

[5] Loughborough Univ, Dept Math Sci, Loughborough LE11 3TU, Leics, England

[6] Loughborough Univ, Interdisciplinary Ctr Math Modelling, Loughborough LE11 3TU, Leics, England

来源：

NEW JOURNAL OF PHYSICS | 2019年 / 21卷 / 12期

基金：

英国工程与自然科学研究理事会; 美国国家科学基金会;

关键词：

Maxwell construction; mean-field models; localized structures; phase separation; colloidal crystallization; Cahn-Hilliard model; phase field crystal model; PATTERN-FORMATION; BIFURCATION; INSTABILITY; DYNAMICS; SNAKING;

D O I：

10.1088/1367-2630/ab5caf

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页数：21

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