Generalization of the thermodynamic approach to multi-dimensional quasistatic processes

A method of mathematical modeling multidimensional quasi-static processes, a generalization processes equilibrium thermodynamics, is proposed and substantiated. The authors obtain the first second law thermodynamics in form Carathéodory to processes. idea construct an orthogonal system functionals similar work heat classical along families phase trajectories corresponding different types influences on system. representation by systems ordinary differential equations containing control variables obtained results make it possible use wide arsenal methods theory dynamical solve problems