Thermodynamics of Continuous Media

This lecture covers the historical introduction to thermodynamics before and after Stückelberg, the relationship between global and local systems, the variation of scalar state function, and the temporal derivative of state functions. It also discusses the continuity equation in fixed and local fluid reference frames, thermodynamic systems in continuous media, state fields, source densities, and current densities. The lecture delves into the Einstein summation convention, scalar and vectorial continuity equations, and products in Cartesian coordinates, including scalar and tensor products. The concepts of divergence, physical causes of state function variations, and the continuity equations in fixed and fluid reference frames are also explored.