Thermodynamics of constrained and unconstrained equilibrium systems and their phase rules

被引:7
作者
Liu, ZK [1 ]
Agren, J [1 ]
机构
[1] ROYAL INST TECHNOL,DEPT MAT SCI & ENGN,S-10044 STOCKHOLM,SWEDEN
来源
JOURNAL OF PHASE EQUILIBRIA | 1995年 / 16卷 / 01期
关键词
D O I
10.1007/BF02646246
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
The two types of phase equilibria, the normal unconstrained one and the constrained one, and their thermodynamics are discussed, The concepts of potential and phase rule, which have recently been discussed in the literature, are reconsidered, and their formal definitions are analyzed in some detail, It is realized that in the unconstrained equilibrium system, the properly defined chemical potentials of all components must be constant across the phase interface in both the hydrostatically and nonhydrostatically stressed systems, It is demonstrated that in a constrained equilibrium system, e.g. with a coherent equilibrium or paraequilibrium, the discussion of the phase rule is rather meaningless even though it is possible to find a relationship between the number of independent potentials and phases, On the other hand, a constrained equilibrium system may be treated as a normal equilibrium by describing its equilibrium features with a different definition of the system.
引用
收藏
页码:30 / 35
页数:6
相关论文
共 20 条
[1]   A SIMPLE-MODEL FOR COHERENT EQUILIBRIUM [J].
CAHN, JW ;
LARCHE, F .
ACTA METALLURGICA, 1984, 32 (11) :1915-1923
[2]   COHERENT FLUCTUATIONS AND NUCLEATION IN ISOTROPIC SOLIDS [J].
CAHN, JW .
ACTA METALLURGICA, 1962, 10 (OCT) :907-+
[3]  
Gibbs J. W., 1948, COLLECTED WORKS JW G, V1
[4]   CRITICAL POINTS IN MULTICOMPONENT SYSTEMS [J].
GRIFFITH.RB ;
WHEELER, JC .
PHYSICAL REVIEW A-GENERAL PHYSICS, 1970, 2 (03) :1047-&
[5]  
Hillert M., 1985, International Metals Reviews, V30, P45
[6]  
Hillert M., 1983, MATER RES SOC S P, V19, P295
[7]  
HULTGREN A, 1947, T AM SOC METAL, V39, P915
[8]   GIBBS-DUHEM AND CLAUSIUS-CLAPEYRON TYPE EQUATIONS FOR ELASTICALLY STRESSED CRYSTALS [J].
JOHNSON, WC ;
SCHMALZRIED, H .
ACTA METALLURGICA ET MATERIALIA, 1992, 40 (09) :2337-2342
[9]   ON THE INAPPLICABILITY OF GIBBS PHASE RULE TO COHERENT SOLIDS [J].
JOHNSON, WC .
METALLURGICAL TRANSACTIONS A-PHYSICAL METALLURGY AND MATERIALS SCIENCE, 1987, 18 (06) :1093-1097
[10]   PHASE-EQUILIBRIUM IN 2-PHASE COHERENT SOLIDS [J].
JOHNSON, WC ;
VOORHEES, PW .
METALLURGICAL TRANSACTIONS A-PHYSICAL METALLURGY AND MATERIALS SCIENCE, 1987, 18 (07) :1213-1228