Applications of Nambu Non-equilibrium Thermodynamics to Specific Phenomena

Le résumé fourni par la source

We apply Nambu non-equilibrium thermodynamics (NNET), a dynamics with multiple Hamiltonians coupled to entropy-induced dissipation, to paradigmatic far-from-equilibrium systems. Concretely, we construct NNET realizations for the Belousov-Zhabotinsky (BZ) reaction (oscillatory), the Hindmarsh-Rose neuron model (spiking), and the Lorenz and Chen systems (chaotic), and analyze their dynamical and thermodynamic signatures. Across all cases the velocity field cleanly decomposes into a non-dissipative Nambu part and a dissipative entropy-gradient part, anchored by a model-independent quasi-conserved quantity. This construction reproduces cycles, spikes, and strange-attractor behavior. These results demonstrate that NNET provides a unified, quantitatively consistent framework for oscillatory, spiking, and chaotic non-equilibrium systems, offering a systematic description beyond the Onsager-type near-equilibrium linear-response framework and complementary to nonlinear geometric formulations such as GENERIC.

Ce résumé expose les affirmations des auteurs. BNTIC ne l’interprète pas comme une validation indépendante des résultats.