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arXiv 0907.4382physics.chem-ph
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电化学系统的离散热力学与电化学振荡

On Discrete Thermodynamics of Electrochemical Systems and Electrochemical Oscillations

B. Zilbergleyt

摘要:

本文介绍了离散热力学(DTD)在电化学系统中的基本应用结果。将电化学系统一致地处理为包括两个相互作用的子系统-化学和电(电化学)-导致具有电荷转移的非统一系数的电化学系统的状态的逻辑上的映射。这个因素提供了一个反馈,并导致电化学系统的动态行为,包括分叉和电化学振荡。后者发生在分叉点以外的化学子系统从真正的热力学平衡的本质偏差。当电荷转移系数取1时,该图即为经典的电化学平衡方程。电化学振荡的谱是多重分形的。这项工作的图形解决方案进行了定性比较的一些实验结果。

英文摘要:

The article presents results of discrete thermodynamics (DTD) basic application to electrochemical systems. Consistent treatment of the electrochemical system as comprising two interacting subsystems - the chemical and the electrical (electrochemical) - leads to ln-logistic map of states of the electrochemical system with non-unity coefficient of the electrical charge transfer. This factor provides for a feedback and causes dynamic behavior of electrochemical systems, including bifurcations and electrochemical oscillations. The latter occur beyond bifurcation point at essential deviation of the chemical subsystem from true thermodynamic equilibrium. If the charge transfer coefficient takes on unity, the map turns into classical equation of electrochemical equilibrium. Spectra of electrochemical oscillations, resulted from the DTD formalism, are multifractals. Graphical solutions of this work are qualitatively compared to some experimental results.

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