Comments on Generalization of thermodynamics in of fractional-order derivatives and calculation of heat transfer properties of noble gases, Journal of Thermal Analysis and Calorimetry 2018 133, 1189 1194

TL;DR

This paper critiques a previous study on fractional-order thermodynamics, clarifying that its equations are approximate, the comparison with experimental data is flawed, and the physical interpretation of fractional derivatives remains unresolved.

Contribution

It clarifies the limitations of fractional derivatives in thermodynamics and establishes conditions for their valid application, challenging prior assumptions.

Findings

Previous equations are approximate and not fully validated.

Comparison with experimental data was incorrect.

The physical meaning of fractional derivative exponents remains unresolved.

Abstract

It is shown that the equations for pressure, entropy and the isochoric heat capacity obtained by using generalization of the equilibrium thermodynamics in fractional derivatives in the paper mentioned above are approximate, the comparison of the equations with the experimental (tabulated) data for Neon and Argon made in the paper is incorrect, and the conclusions of the paper made on the basis of the comparison could be incorrect. The conditions for validity of the equations are established. It is also established that the question about a physical sense of the exponent of the derivative of a fractional order is still open.