2022/09/18 by So Katagiri, Yoshiki Matsuoka, Katagiri, So +3 · 2 citations
Computer Science · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Autocatalytic reaction #Chaotic Dynamics (nlin.CD) #Chemical Physics (physics.chem-ph) #Classical mechanics #Dynamic equilibrium #Entropy (arrow of time) #Equilibrium thermodynamics #Extended irreversible thermodynamics #FOS: Physical sciences #Hamiltonian system #High Energy Physics - Theory (hep-th) #Mathematics #Non-equilibrium thermodynamics #Nonlinear Dynamics and Pattern Formation #Physics #Spectroscopy and Quantum Chemical Studies #Statistical Mechanics (cond-mat.stat-mech) #Statistical physics #Thermodynamic equilibrium #Thermodynamics
paper · pdf · doi:10.48550/arxiv.2209.08469
published in arXiv (Cornell University) (Cornell University)
openalex publication_date 2022/09/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
It is shown that the structure of non-equilibrium thermodynamic system far from equilibrium can be captured in terms of a generalized "Nambu dynamics", in the presence of fluctuation effects in non-equilibrium thermodynamics. Triangular reactions are examined in detail, and it is shown that Nambu brackets can be used to describe them even when they are far from equilibrium, such as with cycles. Time evolution of the non-equilibrium state using the Hamiltonian and entropy is analyzed and it is shown that the entropy evolution is periodic with the negative contribution caused by the Hamiltonian suppressing the increase caused by entropy. As concrete examples, chemical reaction systems with time oscillation, such as the Belousov-Zhabotinsky reaction (BZ reaction), Hindmarsh-Rose(H-R) mode, are examined.