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  • 标题:Two Approaches to the Description of the Evolution of Thermodynamic Systems * * The author acknowledges the research grant 9.50.1197.2014 from St. Petersburg State University.
  • 本地全文:下载
  • 作者:Dmitry Gromov
  • 期刊名称:IFAC PapersOnLine
  • 印刷版ISSN:2405-8963
  • 出版年度:2016
  • 卷号:49
  • 期号:24
  • 页码:34-39
  • DOI:10.1016/j.ifacol.2016.10.749
  • 语种:English
  • 出版社:Elsevier
  • 摘要:This paper analyses two approaches to the description of thermodynamic evolution. The first approach describes the dynamics of a thermodynamic system by contact vector fields extended with inputs and outputs while the second one interprets the thermodynamic vector field as a smooth section of the tangent bundle of the respective Legendre manifold parametrized by n functions, called thermodynamic controls. It is shown that there is a duality between these two approaches similar to the one found in the symplectic case. However, there are still many open questions which present a waste opportunity for further research.
  • 关键词:Mathematical modelingThermodynamicsContact geometry
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