Generalized equations of thermodynamics with nonspecific hidden variables Abstract For the collective gravithermodynamic Gibbs microstates the connection between all thermodynamic potentials and parameters of matter have been found. This connection is realized with the help of four hidden wave functions that can take arbitrary values with certain probability. The possibility of obtaining the known equations of thermodynamic state of real gases is shown based on the use of both their the limit velocities of individual (separate) motion and the mathematical expectations precisely of these four nonspecific hidden parameters (wave functions) and functions of them. It is substantiated that in a quasi-equilibrium state, a real gas has spatial homogeneity not only of its entropy but also of the resulting extensive parameter (an indicator the compressibility coefficient). But the radial values of resulting intensive parameter (an indicator of hierarchical complexity and of quasi-equilibrium of cooling down) of a real gas are invariant in time. 1. Introduction Equations of state of matter are a necessary complement to the laws of thermodynamics. They allow the application of the laws of thermodynamics to specific substances and systems, since the laws of thermodynamics by themselves do not provide complete information about the state of the system. Equations of state cannot be derived from the laws of thermodynamics alone. They are obtained experimentally or theoretically, using ideas about the structure of matter, for example, methods of statistical physics. The most famous equations of state for real gases are the generalized Clapeyron–Mendeleev equation, the van der Waals virial equation (1873) [1], the Dieterici equation (1898) [2], the Berthelot equation (1900–7) [3], the Kamerlingh-Onnes virial equation (1901), the Beattie–Bridgeman equation (1927) [4, 5], the Benedict–Webb–Rubin equation (1940–42) [6 – 9], the Redlich–Kwong equation (1949) [10], the Soave–Redlich–Kwo ... Читать далее