From Lagrangian mechanics to nonequilibrium thermodynamics: A variational perspective

François Gay-Balmaz, Hiroaki Yoshimura

    Research output: Contribution to journalReview article

    2 Citations (Scopus)

    Abstract

    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.

    Original languageEnglish
    Article number8
    JournalEntropy
    Volume21
    Issue number1
    DOIs
    Publication statusPublished - 2019 Jan 1

    Fingerprint

    nonequilibrium thermodynamics
    irreversible processes
    continuums
    classical mechanics
    variational principles
    mass transfer
    friction
    heat transfer
    formulations
    thermodynamics

    Keywords

    • Continuum thermodynamic systems
    • Discrete thermodynamic systems
    • Irreversible processes
    • Nonequilibrium thermodynamics
    • Nonholonomic constraints
    • Variational formulation

    ASJC Scopus subject areas

    • Physics and Astronomy(all)

    Cite this

    From Lagrangian mechanics to nonequilibrium thermodynamics : A variational perspective. / Gay-Balmaz, François; Yoshimura, Hiroaki.

    In: Entropy, Vol. 21, No. 1, 8, 01.01.2019.

    Research output: Contribution to journalReview article

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