On small local equilibrium systems

Abstract Even for large nonequilibrium systems, local equilibrium subsystems in the presence of strong inhomogeneities may be very small. Such situations typically arise either gradients temperature, velocity or pressure, transition zones between different phases. For small thermodynamic Euler equation macroscopic thermodynamics does not hold. One less implies one additional degree freedom, which is hallmark systems. I would like to offer some remarks on description and role thermodynamics.