论文标题

在NAMBU热力学方面,波动的非线性非平衡系统

Fluctuating Non-linear Non-equilibrium System in Terms of Nambu Thermodynamics

论文作者

Katagiri, So, Matsuoka, Yoshiki, Sugamoto, Akio

论文摘要

结果表明,在非平衡热力学中存在波动效应的情况下,可以根据广义的“ NAMBU动力学”来捕获非平衡热力学系统的结构。详细检查了三角反应,并且表明Nambu支架即使它们远离平衡,例如与周期”来描述它们。分析了使用哈密顿量和熵的非平衡状态的时间演变,并表明熵的演化是周期性的,其负面影响是由哈密顿量抑制熵引起的增加的负贡献。作为混凝土的例子,研究了具有时间振荡的化学反应系统,例如Belousov-Zhabotinsky反应(Bz反应),后玛斯 - 罗斯(H-R)模式。

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.

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