W. Muschik
Fundamentals of Nonequilibrium Thermodynamics
in W. Muschik (Ed.): Non-equilibrium Thermodynamics with applications to solids, CISM courses and lectures No. 336
Springer, Wien New York, 1993, 1-63

Starting out with a survey on different thermodynamical theories concepts of nonclassical thermodynamics such as state space, process, projection, and nonequilibrium contact quantity are discussed. Using the dissipation inequality for discrete systems the existence of a non-negative entropy production is investigated. Internal variables are defined by introducing concepts concerning their properties. Then field formulation of thermodynamics is achieved by use of nonequilibrium contact quantities introduced above. Extended thermodynamics is shortly discussed in comparison with the non-extended one. Material axioms and how to exploit the dissipation inequality are items of the last two chapters.