AXIOMATIC PRINCIPLES AND DETAILED BALANCE

Ye. Dossymov, А. Tuymebekova
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Abstract

This article presents an analysis of scientific papers and research on axiomatic principles and detailed balance, we are convinced that even today, in accordance with modern requirements, there is still a need to address axiomatic principles and detailed balance, methods and methods for their study. As mentioned earlier, the axiomatics of statistical physics is reduced to the principle of equal probability of the existence of an equilibrium closed physical system in all microstates accessible to it. This postulate, in turn, suggests that the time-averaged probability of the direct and reverse transition of the system between two selected groups of microstates in the accessible region of the phase space must be the same in both directions (this follows from the definition of an equilibrium state, which contains the requirement of stationarity). In fairness, it should be noted that the principle of detailed balance is not a consequence of the axiomatic principles of statistical physics, and therefore, strictly speaking, is not required to be applied within the framework of this axiomatics. There are situations and outcomes we have given in this article, when the principle of equal probability of available microstates in a closed system is satisfied, but the principle of detailed statistical equilibrium is not.
公理原则和详细的平衡
本文通过对科学论文和研究公理化原理与详细平衡的分析,我们深信,即使在今天,按照现代的要求,仍然有必要对公理化原理与详细平衡、方法和方法进行研究。如前所述,统计物理学的公理化被简化为平衡封闭物理系统在所有可达的微观状态下存在的等概率原理。这一假设反过来又表明,在相空间可达区域内,系统在两组选定的微观状态之间的正向和反向转变的时间平均概率在两个方向上必须是相同的(这是从平衡状态的定义中得出的,平衡状态包含平稳性的要求)。公平地说,应该指出,详细平衡原理不是统计物理学公理原理的结果,因此,严格地说,不需要在这个公理的框架内应用。我们在本文中给出了一些情况和结果,当一个封闭系统中可用的微观状态的等概率原理是满足的,但详细统计平衡原理是不满足的。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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