Giovambattista Amendola

A Heat Conductor with Fading Memory: Dissipation and Free Energies

Some expressions for the free energies of differential systems connected with a rigid heat conductor with memory are studied. The properties of these materials are given by a dynamical system, where the state is expressed in terms of the past histories of the temperature and of its gradient. Finally, the internal dissipations, corresponding to each of these free energies, are also evaluated.