Dirac structures in nonequilibrium thermodynamics

Hiroaki Yoshimura, François Gay-Balmaz

研究成果: Article査読

2 被引用数 (Scopus)

抄録

In this paper, it is shown that the evolution equations for nonequilibrium thermodynamics admit an intrinsic formulation in terms of Dirac structures, both on the Lagrangian and the Hamiltonian settings. The Dirac structures are constructed on the Pontryagin bundle P = TQ ⊕ TQ, where Q = Q × ℝ is the thermodynamic configuration manifold. In particular, it is illustrated how one can develop Dirac structures that include nonlinear nonholonomic constraints originated from the entropy production in each irreversible process. Lastly, we also present the induced Dirac structure on N = TQ × ℝ together with the associated Lagrange-Dirac and Hamilton-Dirac dynamical formulations in analogy with nonholonomic mechanics.

本文言語English
ページ(範囲)31-37
ページ数7
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

ASJC Scopus subject areas

  • 制御およびシステム工学

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