TITLE:
On the Relationship between Statistical and Phenomenological Models of the Thermodynamic Systems
AUTHORS:
Igor Samkhan
KEYWORDS:
Thermodynamics; Classical Systems; Description Models; Statistical Functions; Phase Space; Probability Distribution; Particle Concentration
JOURNAL NAME:
Journal of Modern Physics,
Vol.4 No.7B,
July
18,
2013
ABSTRACT: 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.