SIMULATION OF THERMODYNAMIC EQUATIONS DYNAMIC SYSTEMS

Abstract

The article proposes a transition from the equations of thermodynamics to dynamical systems. The Van der Waals equation qualitatively conveys thermodynamic processes at a semi-empirical level. The transition to dynamical systems is caused by the space-time (x, y, z, t) study of thermodynamic quantities p, V, T in connection with the equations of mathematical physics for the study of complex equations of thermodynamics, for example, Kamerling Onnes, and practical implementation in technical systems. It is shown that p, V, T contain x, y, z, t in implicit form. But since p=dF/dS, an integro-differential equation describing the processes of thermodynamics follows from F=du/dt, where F is the force, S(x, y) is the area of the volume V(x, y, z) =zS(x, y). It is proved that the negative pressure and negative volume known in the literature are special cases of an oriented volume element taking into account the mixed product of vectors. It forms a right or left triple of vectors depending on the direction of the velocity vector defined by the Levi-Civita symbol in three-dimensional space.