THERMODYNAMICS - RIEMANNIAN GEOMETRIC MODEL

被引:592
作者
RUPPEINER, G
机构
[1] Department of Physics, Duke University, Durham
来源
PHYSICAL REVIEW A | 1979年 / 20卷 / 04期
关键词
D O I
10.1103/PhysRevA.20.1608
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
By including the theory of fluctuations in the axioms of thermodynamics it is shown that thermodynamic systems can be represented by Riemannian manifolds. Of special interest is the curvature of these manifolds which, for pure fluids, is associated with effective interparticle interaction strength by means of a general thermodynamic interaction hypothesis." This interpretation of curvature appears to be consistent with hyperscaling and two-scale-factor universality. The Riemannian geometric model is a new attempt to extract information from the axioms of thermodynamics. © 1979 The American Physical Society."
引用
收藏
页码:1608 / 1613
页数:6
相关论文
共 23 条
[1]  
CALLEN HB, 1960, THERMODYNAMICS, P12
[2]   FUNCTIONAL INTEGRATION AND THE ONSAGER-MACHLUP LAGRANGIAN FOR CONTINUOUS MARKOV-PROCESSES IN RIEMANNIAN GEOMETRIES [J].
DEKKER, H .
PHYSICAL REVIEW A, 1979, 19 (05) :2102-2111
[3]  
EINSTEIN A, 1956, INVESTIGATION THEORY, P14
[4]  
GOODSTEIN DL, 1975, STATES MATTER, P478
[5]   CRITICAL POINTS IN MULTICOMPONENT SYSTEMS [J].
GRIFFITH.RB ;
WHEELER, JC .
PHYSICAL REVIEW A-GENERAL PHYSICS, 1970, 2 (03) :1047-&
[6]  
KADANOFF L, 1976, PHASE TRANSITIONS A, V5, P10
[7]  
LANDAU LD, 1977, STATISTICAL PHYSICS, pCH12
[8]  
LASZLO T, 1966, GENERALIZED THERMODY
[9]  
Levelt Sengers J.M.H., 1976, J PHYS CHEM REF DATA, V5, P1
[10]   Generalized thermodynamics including the theory of fluctuations [J].
Lewis, GN .
JOURNAL OF THE AMERICAN CHEMICAL SOCIETY, 1931, 53 (02) :2578-2588