Open physical systems: from GENERIC to port-Hamiltonian systems

2018/04/11 by Arbi Moses Badlyan, Bernhard Maschke, Badlyan, A. Moses +5
Biochemistry, Genetics and Molecular Biology · Engineering · Physics and Astronomy · #35Q35 #37K05 #37L99 #ATP Synthase and ATPases Research #Advanced Thermodynamics and Statistical Mechanics #Control and Stability of Dynamical Systems #Dynamical Systems (math.DS) #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1804.04064

openalex publication_date 2018/04/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Formulations of open physical systems within the framework of Non-Equilibrium Reversible/Irreversible Coupling (associated with the acronym "GENERIC") is related in this work with state-space realizations that are given as boundary port-Hamiltonian systems. This reformulation is carried out explicitly by splitting the dynamics of the system into a reversible contribution given by a Poisson bracket and an irreversible contribution given by a symmetric dissipation bracket, and is facilitated by the introduction of an exergy-like potential.

Citations

• Dynamics and thermodynamics of complex fluids. I. Development of a general formalism

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• Existence of solutions to port-Hamiltonian systems: initial value problems and optimal control
• Exergetic Port-Hamiltonian Systems: Navier-Stokes-Fourier Fluid
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