From variational to bracket formulations in nonequilibrium thermodynamics of simple systems
DOI10.1016/j.geomphys.2020.103812zbMath1455.80004arXiv1904.05958OpenAlexW3047831424MaRDI QIDQ5918993
François Gay-Balmaz, Hiroaki Yoshimura
Publication date: 22 October 2020
Published in: Lecture Notes in Computer Science, Journal of Geometry and Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1904.05958
variational principlesvariational formulationnonequilibrium thermodynamicsbracket formulationthermodynamic displacement
Applications of Lie groups to the sciences; explicit representations (22E70) Foundations of thermodynamics and heat transfer (80A05) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05) Diffusive and convective heat and mass transfer, heat flow (80A19) Variational methods applied to problems in thermodynamics and heat transfer (80M30)
Related Items (12)
Cites Work
- Unnamed Item
- A Lagrangian variational formulation for nonequilibrium thermodynamics. I: Discrete systems.
- A Lagrangian variational formulation for nonequilibrium thermodynamics. II: Continuum systems.
- Reduction theory for symmetry breaking with applications to nematic systems
- A paradigm for joined Hamiltonian and dissipative systems
- The Euler-Poincaré equations and semidirect products with applications to continuum theories
- The Euler-Poincaré equations and double bracket dissipation
- Variational discretization of thermodynamical simple systems on Lie groups
- A geometric theory of selective decay with applications in MHD
- Dirac structures in nonequilibrium thermodynamics
- Non-canonical Poisson bracket for nonlinear elasticity with extensions to viscoelasticity
- Selective decay by Casimir dissipation in inviscid fluids
- Geometric Mechanics
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