Global equivalence for rigid heat-conducting bodies

The global equivalence between two deformable thermoelastic bodies is adapted to rigid bodies. Two such bodies are said to be globally k-equivalent when every global process is possible for B whenever its k-corresponding process is possible for B0. Intuitively, this means that the bodies have the same class of processes or solutions to their initial-boundary-value problem. Two maximality theorems of global equivalence for a rigid heat-conducting body B are presented: one in the thermodynamic theory with no heat sources and the other in the thermodynamic theory with heat supply.