化学系统状态方程：从真平衡到真混沌
Equation of State of Chemical System: From True Equilibrium to True Chaos
摘要：
本文介绍了对最近提出的化学体系平衡的基本热力学方程的解的初步研究结果，重点是混沌行为。这个方程的经典部分在前面的一系列论文中已经研究过了。本文讨论了一维Logistic映射与方程的非经典（混沌）项之间的相似性，从而引出了这一问题。本文的工作结果使我们能够评估区域的开放平衡属于正规吸引子的盆地，导致平凡的解决方案与真正的热力学平衡的零偏差，然后找到第一个分支阈值作为一个极限的开放平衡和经典区域的极限。的基本方程的特点进行了讨论方面的混沌和热力学温度的相对值。所得结果促使我们把新理论的基本方程看作是化学体系的通用状态方程。
英文摘要：
The article presents results of preliminary study of solutions to recently offered basic thermodynamic equation for equilibrium in chemical systems with focus on chaotic behavior. Classical part of that equation was investigated earlier in a series of papers. In this work a similarity between one-dimensional logistic map and non-classical (chaotic) term of the equation was discussed to introduce the problem. Results of this work allow us to evaluate the region where open equilibrium belongs to the basin of regular attractor and leads to trivial solutions with zero deviation from true thermodynamic equilibrium, and then to find first bifurcation threshold as a limit of open equilibrium and a limit of the classical region as well. Features of the basic equation are discussed with regard to relative values of the chaotic and thermodynamic temperatures. Obtained results prompt us to consider the basic equation of new theory to be the general equation of state of chemical systems.
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