On the Relationship between Statistical and Phenomenological Models of the Thermodynamic Systems


The paper deals with the performing of a critical analysis of the problems arising in matching the classical models of the statistical and phenomenological thermodynamics. The performed analysis shows that some concepts of the statistical and phenomenological methods of describing the classical systems do not quite correlate with each other. Particularly, in these methods various caloric ideal gas equations of state are employed, while the possibility existing in the thermodynamic cyclic processes to obtain the same distributions both due to a change of the particle concentration and owing to a change of temperature is not allowed for in the statistical methods. The above-mentioned difference of the equations of state is cleared away when using in the statistical functions corresponding to the canonical Gibbs equations instead of the Planck’s constant a new scale factor that depends on the parameters of a system and coincides with the Planck’s constant in going of the system to the degenerate state. Under such an approach, the statistical entropy is transformed into one of the forms of heat capacity. In its turn, the agreement of the methods under consideration in the question as to the dependence of the molecular distributions on the concentration of particles, apparently, will call for further refinement of the physical model of ideal gas and the techniques for its statistical description.

Share and Cite:

I. Samkhan, "On the Relationship between Statistical and Phenomenological Models of the Thermodynamic Systems," Journal of Modern Physics, Vol. 4 No. 7B, 2013, pp. 38-44. doi: 10.4236/jmp.2013.47A2006.

Conflicts of Interest

The authors declare no conflicts of interest.


[1] M. Kardar, “Statistical Physics of Particles,” Cambridge University Press, Cambridge, 2007. doi:10.1017/CBO9780511815898
[2] I. Samkhan, Phisiks-Doklady, Vol. 41, 1996, pp. 16-18.
[3] P. W. Atkins, “Physical Chemistry,” Oxford University Press, Oxford, 1978.
[4] I. Samkhan, The Open Fuels & Energy Science Journal, No. 2, 2009, pp. 8-17. http://www.benthamscience.com/open/toefj
[5] D. V. Sivukhin, “Thermodynamics and Molecular Physics,” 5th Edition, FITMAZLIT, Moscow, 2005.
[6] Yu. B. Rumer and M. Sh. Ryvkin, “Termodinamika, statisticheskayafizikairinetika (Thermodynamics, Statistical Physics, and Kinetics),” Nauka, Moscow, 1977.
[7] L. D. Landau and E. M. Lifshitz, “Statistical Physics,” Pergamon Press, Oxford, 1980.

Copyright © 2021 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.