NON-CLASSICAL EQUATIONS OF STATE FOR CRITICAL AND TRICRITICAL POINTS

被引:15
作者
FOX, JR [1 ]
机构
[1] CORNELL UNIV,DEPT CHEM,ITHACA,NY 14853
关键词
critical phenomena; critical scaling; equation of state; exponent crossover; phase equilibria; Thermodynamics; tricritical;
D O I
10.1007/BF01011468
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We develop a method by which certain classical equations of state may be modified to produce nonclassical critical scaling behavior. We then apply this method to the classical free energy describing a tricritical point that was originally introduced by Griffiths. The phase behavior of the resulting nonclassical free energy is characterized by the competition between critical scaling and tricritical scaling already envisioned by previous authors. © 1979 Plenum Publishing Corporation.
引用
收藏
页码:243 / 261
页数:19
相关论文
共 14 条
[1]   GENERALIZED SCALING HYPOTHESIS IN MULTICOMPONENT SYSTEMS .1. CLASSIFICATION OF CRITICAL-POINTS BY ORDER AND SCALING AT TRICRITICAL POINTS [J].
CHANG, TS ;
HANKEY, A ;
STANLEY, HE .
PHYSICAL REVIEW B, 1973, 8 (01) :346-364
[2]  
CHANG TS, 1973, PHYS REV B, V7, P4623
[3]   NON-UNIVERSALITY OF TRICRITICAL BEHAVIOR [J].
FISHER, ME ;
SARBACH, S .
PHYSICAL REVIEW LETTERS, 1978, 41 (16) :1127-1130
[4]   TRICRITICAL PHENOMENA IN TERNARY AND QUATERNARY FLUID MIXTURES [J].
FOX, JR .
JOURNAL OF CHEMICAL PHYSICS, 1978, 69 (05) :2231-2242
[5]   CRITICAL POINTS IN MULTICOMPONENT SYSTEMS [J].
GRIFFITH.RB ;
WHEELER, JC .
PHYSICAL REVIEW A-GENERAL PHYSICS, 1970, 2 (03) :1047-&
[6]  
Griffiths R. B., 1970, Physical Review Letters, V24, P715, DOI 10.1103/PhysRevLett.24.715
[7]   PROPOSAL FOR NOTATION AT TRICRITICAL POINTS [J].
GRIFFITHS, RB .
PHYSICAL REVIEW B, 1973, 7 (01) :545-551
[8]   THERMODYNAMIC MODEL FOR TRICRITICAL POINTS IN TERNARY AND QUATERNARY FLUID MIXTURES [J].
GRIFFITHS, RB .
JOURNAL OF CHEMICAL PHYSICS, 1974, 60 (01) :195-206
[9]   SCALING APPROACH TO TRICRITICAL PHASE-TRANSITIONS [J].
RIEDEL, EK .
PHYSICAL REVIEW LETTERS, 1972, 28 (11) :675-&
[10]   TRICRITICAL EXPONENTS AND SCALING FIELDS [J].
RIEDEL, EK ;
WEGNER, FJ .
PHYSICAL REVIEW LETTERS, 1972, 29 (06) :349-&