From Lagrangian mechanics to nonequilibrium thermodynamics: A variational perspective

François Gay-Balmaz*, Hiroaki Yoshimura

*この研究の対応する著者

研究成果: Review article査読

22 被引用数 (Scopus)

抄録

In this paper, we survey our recent results on the variational formulation of nonequilibrium thermodynamics for the finite-dimensional case of discrete systems, as well as for the infinite-dimensional case of continuum systems. Starting with the fundamental variational principle of classical mechanics, namely, Hamilton's principle, we show, with the help of thermodynamic systems with gradually increasing complexity, how to systematically extend it to include irreversible processes. In the finite dimensional cases, we treat systems experiencing the irreversible processes of mechanical friction, heat, and mass transfer in both the adiabatically closed cases and open cases. On the continuum side, we illustrate our theory using the example of multicomponent Navier-Stokes-Fourier systems.

本文言語English
論文番号8
ジャーナルEntropy
21
1
DOI
出版ステータスPublished - 2019 1月 1

ASJC Scopus subject areas

  • 情報システム
  • 数理物理学
  • 物理学および天文学(その他)
  • 電子工学および電気工学

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