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
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
收藏
页数:21
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