Abstract

The generalization of thermodynamics in the formalism of fractional order derivatives, allowing to take into account non-local effects in the thermodynamic processes, is made to the development of approach proposed in our recent publications. A one-parameter (depending on the fractional order derivative index) equation of state is derived. On its basis the calculation of entropy, isochoric heat capacity and compressibility factor for a monatomic gas and multi-component systems in a wide temperature and pressure range is realized. Thus, the thermodynamics in fractional calculus contains the traditional thermodynamics as a special case and expands the scope of its application.

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