Authors : Gennadiy V. Averin, Anna V. Zviagintseva, Maria V. Shevtsova and Liliana N. Kurtova
Abstract: The researches in axiomatization of thermodynamics are especially urgent because the thermodynamics is a basis of many physical sciences. This science possesses the universal theory with high capacity for development and opportunities for application of her method in other scientific areas. Development of axiomatic approaches in thermodynamics is an important problem when studying difficult systems. In this study the ways of the axiomatic theory creation in classical thermodynamics are considered using the mathematical methods of differential geometry. Advantages of geometry is obvious: presentation, clearness and explanation of many concepts and provisions. Researches in this direction allow to formulate new approach for creation of the deductive theory and to open the geometrical content in the basic thermodynamics concepts: entropy, energy, enthalpy, thermodynamic potentials, etc. Some results of the executed researches are given.
Gennadiy V. Averin, Anna V. Zviagintseva, Maria V. Shevtsova and Liliana N. Kurtova, 2017. Justification of Provisions of Thermodynamics by Methods of Differential Geometry of Multidimensional Spaces. Journal of Engineering and Applied Sciences, 12: 7830-7835.