Classical thermodynamics of irreversible processes is easily extended to describe non-equilibrium processes which are not directly involved in the conservation laws of mass, momentum and energy. These non-equilibrium processes can be understood as the evolution in time of some internal variables. Thermodynamics with internal variables is here used to describe unusual transport phenomena taking place in binary fluid mixtures and suspensions of particles. We also revisit the unusual heat transport of superfluids. A comparison is made with the description of these unusual phenomena given by Extended Irreversible Thermodynamics (Part I) and the GENERIC framework (Part II).
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