The purpose of this work is to perform a critical examination of the challenges that occur when comparing statistical and phenomenological thermodynamic models.
Some notions from the statistical and phenomenological techniques of representing classical systems do not quite correlate with one another, according to the analysis. Specifically, various caloric ideal gas equations of state are used in these methods, whereas the statistical methods do not allow for the possibility that exists in thermodynamic cyclic processes to obtain the same distributions both due to a change in particle concentration and due to a change in temperature.
When using a new scale factor that depends on the parameters of a system and coincides with the Planck's constant in going to the degenerate state instead of the Planck's constant in statistical functions corresponding to the canonical Gibbs equations, the above-mentioned difference of the equations of state is removed. Using this procedure, statistical entropy is converted into one of the heat capacity forms. The proposed multiplier is dependent on a system's characteristics and, in one case, coincides with the Planck's constant when a classical system enters a degenerate state.
As a result, it appears that agreement between the methods under examination in the subject of the dependency of molecular distributions on particle concentration will demand further refining of the physical model of ideal gas and statistical methods for its statistical description.
Author(s) Details:
Igor Samkhan,
Yaroslavl State Technical University, Department of Heat Engines City of
Yaroslavl, Russia
Please see the link here: https://stm.bookpi.org/RTCPS-V8/article/view/6010
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