A Lagrangian variational formulation for nonequilibrium thermodynamics

F. Gay-Balmaz, Hiroaki Yoshimura

    Research output: Contribution to journalArticle

    Abstract

    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.

    Original languageEnglish
    Pages (from-to)25-30
    Number of pages6
    JournalIFAC-PapersOnLine
    Volume51
    Issue number3
    DOIs
    Publication statusPublished - 2018 Jan 1

    Fingerprint

    Thermodynamics
    Pistons
    Mechanics
    Entropy
    Fluids
    Hot Temperature

    Keywords

    • constraints
    • irreversible process
    • Lagrangian system
    • Nonequilibrium thermodynamics
    • variational principle

    ASJC Scopus subject areas

    • Control and Systems Engineering

    Cite this

    A Lagrangian variational formulation for nonequilibrium thermodynamics. / Gay-Balmaz, F.; Yoshimura, Hiroaki.

    In: IFAC-PapersOnLine, Vol. 51, No. 3, 01.01.2018, p. 25-30.

    Research output: Contribution to journalArticle

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