Reduction of complex dynamics in far-from-equilibrium systems: Nambu non-equilibrium thermodynamics

Key Points

• The aim is to reformulate far-from-equilibrium thermodynamic systems using Nambu bracket formalism to simplify their complex dynamics.
• Developed a dynamical framework based on the Nambu bracket formalism.
• Analyzed complex nonlinear non-equilibrium systems and their local reduction.
• Discussed mathematical obstacles for global extension of the reduction.
• General nonlinear non-equilibrium systems can be locally simplified to Nambu non-equilibrium thermodynamics.
• Proposed a formulation incorporating nonlinear effects using mixed higher-order tensors.

Abstract