Reduction of complex dynamics in far-from-equilibrium systems: Nambu non-equilibrium thermodynamics
Year: 2026
Type: article
Abstract: 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. 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.
Source: Journal of Mathematical Physics
DOI: 10.1063/5.0309729
Authors: So Katagiri, Yoshiki Matsuoka, Akio Sugamoto
Institutions: The Open University of Japan, Ochanomizu University
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7154057572