Instabilities in adiabatic transformations of first-order phase transitions in a model with bistable units

In this paper we study adiabatic transformations in a model of first-order phase transformations made of superposition of bistable units. A differential equation with hysteresis operators is derived and how to compute numerically the T(H)T(H) trajectories is discussed. The numerical method is applied to an idealized phase transformation displaying an instability. We discuss the differences of the temperature change between the controlled magnetic field case and the controlled phase transformation case.