A Lagrangian variational formulation for nonequilibrium thermodynamics

F. Gay-Balmaz, H. Yoshimura

研究成果: Article査読

1 被引用数 (Scopus)

抄録

We present a variational formulation for nonequilibrium thermodynamics which extends the Hamilton principle of mechanics to include irreversible processes. The variational formulation is based on the introduction of the concept of thermodynamic displacement. This concept makes possible the definition of a nonlinear nonholonomic constraint given by the expression of the entropy production associated to the irreversible processes involved, to which is naturally associated a variational constraint to be used in the variational formulation. We consider both discrete (i.e., finite dimensional) and continuum systems and illustrate the variational formulation with the example of the piston problem and the heat conducting viscous fluid.

本文言語English
ページ(範囲)25-30
ページ数6
ジャーナル6th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC 2018
51
3
DOI
出版ステータスPublished - 2018 1 1

ASJC Scopus subject areas

  • Control and Systems Engineering

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