中国物理B ›› 2009, Vol. 18 ›› Issue (9): 3790-3794.doi: 10.1088/1674-1056/18/9/029

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Geometrical description of denormalized thermodynamic manifold

吴利萍, 孙华飞, 曹丽梅   

  1. Department of Mathematics, Beijing Institute of Technology, Beijing 100081, China
  • 收稿日期:2009-02-27 修回日期:2009-04-29 出版日期:2009-09-20 发布日期:2009-09-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 10871218).

Geometrical description of denormalized thermodynamic manifold

Wu Li-Ping(吴利萍), Sun Hua-Fei(孙华飞)†, and Cao Li-Mei(曹丽梅)   

  1. Department of Mathematics, Beijing Institute of Technology, Beijing 100081, China
  • Received:2009-02-27 Revised:2009-04-29 Online:2009-09-20 Published:2009-09-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 10871218).

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摘要： In view of differential geometry, the state space of thermodynamic parameters is investigated. Here the geometrical structures of the denormalized thermodynamic manifold are considered. The relation of their geometrical metrics is obtained. Moreover an example is used to illustrate our conclusions.

Abstract: In view of differential geometry, the state space of thermodynamic parameters is investigated. Here the geometrical structures of the denormalized thermodynamic manifold are considered. The relation of their geometrical metrics is obtained. Moreover an example is used to illustrate our conclusions.

Key words: thermodynamic, differential geometry, geometrical metric

中图分类号:  (Thermodynamics)

  • 05.70.-a
02.40.Ky (Riemannian geometries) 05.20.-y (Classical statistical mechanics)