中国物理B ›› 2000, Vol. 9 ›› Issue (6): 450-458.doi: 10.1088/1009-1963/9/6/010

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CRITICAL SCALING THEORY OF GENERALIZED PHASE TRANSITION AND ITS UNIVERSALITY

吉世印1, 蔡绍洪2, 胡林2, 戴陵江2, 李坚石2, 张德兴2   

  1. (1)Department of Physics, Guizhou Normal University, Guiyang 550001, China; (2)Department of Physics, Guizhou University, Guiyang 550025, China
  • 收稿日期:1999-10-01 修回日期:2000-02-12 出版日期:2000-06-15 发布日期:2005-06-12
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 19872021) and by the Science Technology Foundation of Guizhou Province, China (Grant No.983078).

CRITICAL SCALING THEORY OF GENERALIZED PHASE TRANSITION AND ITS UNIVERSALITY

Cai Shao-hong (蔡绍洪), Hu Lin (胡林), Dai Ling-jiang (戴陵江), Ji Shi-yin (吉世印), Li Jian-shi (李坚石), Zhang De-xing (张德兴)   

  1. Department of Physics, Guizhou University, Guiyang 550025, China; Department of Physics, Guizhou Normal University, Guiyang 550001, China
  • Received:1999-10-01 Revised:2000-02-12 Online:2000-06-15 Published:2005-06-12
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 19872021) and by the Science Technology Foundation of Guizhou Province, China (Grant No.983078).

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摘要： Generalized phase transition (GPT) refers to the transition process of material systems from one steady-state to another. It includes equilibrium phase transition (EPT) and nonequilibrium phase transition (NPT), and phase transitions intermediate between them. In this paper some results on the study of critical scaling relations of the NPT and EPT are obtained. We developed the critical scaling theory of EPT and advanced a universal critical scaling theory of GPT. The critical scaling relations(scaling laws) has more niversality. The critical exponents calculated from our theory are identical with the results of experiments and other theories about EPT and NPT systems. Because the basic model of the theory does not depend on the concrete material system, it has a certain unversality. Its results thus can be applied to generlized phase transition systems, such as the electrorheological fluid and magnetorheological fluid systems.

Abstract: Generalized phase transition (GPT) refers to the transition process of material systems from one steady-state to another. It includes equilibrium phase transition (EPT) and nonequilibrium phase transition (NPT), and phase transitions intermediate between them. In this paper some results on the study of critical scaling relations of the NPT and EPT are obtained. We developed the critical scaling theory of EPT and advanced a universal critical scaling theory of GPT. The critical scaling relations(scaling laws) has more niversality. The critical exponents calculated from our theory are identical with the results of experiments and other theories about EPT and NPT systems. Because the basic model of the theory does not depend on the concrete material system, it has a certain unversality. Its results thus can be applied to generlized phase transition systems, such as the electrorheological fluid and magnetorheological fluid systems.

中图分类号:  (Equilibrium properties near critical points, critical exponents)

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