In an explicit open-piston model, S_NB increases monotonically because Nambu flow preserves it and irreversible dynamics form a positive-semidefinite gradient flow generated by S_NB.
Nambu Non-equilibrium Thermodynamics: Axiomatic Formulation and Foundation
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abstract
We present a theoretical framework for non-equilibrium thermodynamics, termed Nambu Non-equilibrium Thermodynamics (NNET), which unifies reversible dynamics described by the Nambu bracket and irreversible processes driven by entropy gradients. The formulation provides a covariant description of systems far from equilibrium, where entropy may transiently decrease as a result of reversible circulations or exchanges with the surroundings, extending the applicability of conventional thermodynamic formalisms. As an illustrative example, a triangular chemical reaction system is analyzed. It is shown that, without assuming detailed balance or linearity, two geometric structures that behave as conserved quantities in the reversible limit naturally emerge: one associated with cyclic symmetry in the reaction space, and another that vanishes under symmetric reaction rates. These results demonstrate that NNET provides a unified and covariant formulation for describing both cyclic dynamics and dissipative processes within a single theoretical structure.
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UNVERDICTED 3representative citing papers
A gauge-theoretic reformulation of Nambu non-equilibrium thermodynamics identifies thermodynamic potentials as gauge fields, with curvature corresponding to irreversibility and specific terms recovering Onsager and NNET frameworks.
Far-from-equilibrium nonlinear systems are locally reduced to Nambu Non-equilibrium Thermodynamics via Nambu brackets, with global obstacles discussed and a higher-order tensor generalization proposed.
citing papers explorer
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Nambu Nonequilibrium Thermodynamics and the Lyapunov Structure of Open Systems
In an explicit open-piston model, S_NB increases monotonically because Nambu flow preserves it and irreversible dynamics form a positive-semidefinite gradient flow generated by S_NB.
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A Gauge-Theoretic Formulation of Nambu Non-equilibrium Thermodynamics
A gauge-theoretic reformulation of Nambu non-equilibrium thermodynamics identifies thermodynamic potentials as gauge fields, with curvature corresponding to irreversibility and specific terms recovering Onsager and NNET frameworks.
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Reduction of Complex Dynamics in Far-from-equilibrium Systems: Nambu Non-equilibrium Thermodynamics
Far-from-equilibrium nonlinear systems are locally reduced to Nambu Non-equilibrium Thermodynamics via Nambu brackets, with global obstacles discussed and a higher-order tensor generalization proposed.