<一般論文> アンサンブル理論と熱力学的アナロジーの系譜 : ギブスの統計力学についての一考察

• 稲葉 肇

  マックス・プランク科学史研究所

書誌事項

タイトル別名

• <Regular Articles> The genealogy of ensemble theories and thermodynamic analogies: A study on J. Willard Gibbs' Elementary principles in statistical mechanics

抄録

This paper shows that JosiahWillard Gibbs (1839–1903) integrated Helmholtzian thermodynamic analogies with the Boltzmann-Maxwellian ensemble approach in his book Elementary principles in statistical mechanics (1902). On one hand, Gibbs took over the ensemble concept from Maxwell and Boltzmann, who developed it in the 1870s and 1880s. A lecture note taken by a Gibbs' student reveals that Gibbs finished his theory of statistical mechanics following the Boltzmann-Maxwell line almost completely by 1895. On the other hand, Gibbs made analogies with thermodynamics in Helmholtz's sense; in 1884 Helmholtz suggested the idea of monocyclic systems to establish the fact that there are formal and operational correspondences between mechanics and thermodynamics. In the same year, Boltzmann extended the domain of monocyclic systems by means of ensembles, but he made only formal analogies. The lecture note also mentions formal analogies. In the Elementary principles, Gibbs applied the ensemble concept to make both formal and operational analogies, as can be seen in Helmholtz. Although there is no direct evidence that Gibbs studied Helmholtz's monocyclic systems, a detailed analysis allows us to interpret Gibbs' theory as succeeding Helmholtz' thermodynamic analogies.

収録刊行物

• 科学哲学科学史研究

  科学哲学科学史研究 8 1-20, 2014-03-31

  京都大学文学部科学哲学科学史研究室

キーワード

• 401

詳細情報

• CRID: 1390853649769408128
• NII論文ID: 120005411438
• NII書誌ID: AA12164361
• DOI: 10.14989/185334
• HANDLE: 2433/185334
• ISSN: 18839177
• 本文言語コード: ja
• データソース種別:
  • JaLC
  • IRDB
  • CiNii Articles
• 抄録ライセンスフラグ: 使用可