chapter  38
5 Pages

Equations of conservation of molecular properties

Transition to transport equations. The kinetic equations for unary and paired distribution functions are given in Section 19. These equations are constructed by closing the Bogolyubov chain [38, 39], which takes into account collisions (Boltzmann terms), intermolecular interactions (Vlasov contributions), and exchange properties (mass, impulse, energy) between different cells due to the thermal motion of molecules in space [34]. Exchange flows are composed of direct movements of molecules into neighbouring free cells and from the transfer of properties (impulse and energy) through collisions with their neighbours. Such a system of equations represents the most detailed description of molecular systems, and with its help, when the scale is larger or rough, one can proceed to transport equations on any space-time scales depending on the problem under consideration. These equations can be applied to three aggregate states. As a result, a complete system of transport equations will describe all time intervals (from picoseconds at the microlevel to seconds at the macrolevel), spatial scales and the concentration range from gas to liquid and solid. With their help, one can justify the equations of non-equilibrium thermodynamics from Section 9, which are also used for any aggregate states, and in addition obtain expressions for the dissipative coefficients.