On the classification of singularities in thermodynamics

被引：5

作者：

Aicardi, F ^{[1
]}

机构：

[1] Inst Fourier, F-38402 St Martin Dheres, France

来源：

PHYSICA D-NONLINEAR PHENOMENA | 2001年 / 158卷 / 1-4期

关键词：

binary mixtures; phase diagrams; phase transitions; critical phenomena; azeotropy; singularities;

D O I：

10.1016/S0167-2789(01)00314-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The occurrence of Legendrian singularities in thermodynamics is discussed. In fact, the stability condition strongly limits the list of such singularities having a physical relevance (related to critical phenomena). Another type of singularities, due to the convexification of the internal energy, does intervene. Such singularities are related to phase transitions. The complete list of generic phenomena occurring in binary mixtures is obtained through the classification of these singularities. (C) 2001 Elsevier Science B.V. All rights reserved.

引用

页码：175 / 196

页数：22

共 20 条

[1]

AICARDI F, 2001, IN PRESS PHYS CHEM C

[2]

ARNOLD VI, 1982, SINGULARITES APPL DI, V1

[3]

BOGAEVSKI IA, 1999, GEOMETRY TOPOLOGY CA, V50, P61

[4]

DUBOIS JG, 1978, ANN I H POINCARE A, V29, P1

[5]

DUBOIS JG, 1976, ANN I H POINCARE A, V24, P261

[6] Singularities and the distribution of density in the Burgers/adhesion model [J].

Frisch, U ;

Bec, J ;

Villone, B .

PHYSICA D-NONLINEAR PHENOMENA, 2001, 152 :620-635

[7]

FRISCH U, 2000, HOUCHES 2000 NEW TRE

[8]

GAW WJ, 1966, NATURE, V212, P263

[9]

Janeczko S., 1985, Annales de la Societe Scientifique de Bruxelles, Serie I (Sciences Mathematiques, Astronomiques et Physiques), V99, P49

[10]

Janeczko S., 1983, DEMONSTRATIO MATH, V16, P487

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