arXiv Open Access 2025

Reduction of Complex Dynamics in Far-from-equilibrium Systems: Nambu Non-equilibrium Thermodynamics

So Katagiri Yoshiki Matsuoka Akio Sugamoto

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Abstrak

Far-from-equilibrium thermodynamic systems dominated by strong nonlinearity are reformulated within a dynamical framework based on the Nambu bracket formalism. It is demonstrated that general complex nonlinear non-equilibrium systems can be locally reduced to a simple form of Nambu Non-equilibrium Thermodynamics (NNET). Furthermore, mathematical and dynamical obstacles encountered in extending this reduction globally are discussed, and a generalized formulation that incorporates nonlinear effects through mixed higher-order tensors is proposed.

Topik & Kata Kunci

cond-mat.stat-mech hep-th math-ph

Penulis (3)

So Katagiri

Yoshiki Matsuoka

Akio Sugamoto

Format Sitasi

APA MLA BibTeX

Katagiri, S., Matsuoka, Y., Sugamoto, A. (2025). Reduction of Complex Dynamics in Far-from-equilibrium Systems: Nambu Non-equilibrium Thermodynamics. https://arxiv.org/abs/2508.19455

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Informasi Jurnal

Tahun Terbit: 2025
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓