On tensorial forms of thermodynamic potentials in mixtures theory

Four thermodynamic tensorial quantities, equivalents of the thermodynamic potentials, namely the chemical potential tensor, the tensor of enthalpy, the tensor of free energy and the tensor of internal energy are presented. The last three of them are proposed in this paper and connections between all of these tensors are derived. The tensorial forms of the thermodynamic potentials are expressed in terms of four possible pairs of independent state variables. A set of sixteen alternative expressions, four for each tensorial form of the thermodynamic potential are derived and their importance discussed.