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Valeria Berti, Giorgio Gentili

The Minimum Free Energy For Isothermal Dielectrics With Memory

The minimum free energy for a rigid dielectric with linear memory is found under isothermal conditions. The resulting expression is given in the frequency domain, i.e., in terms of the Fourier transform of the variables. By means of such a thermodynamic potential and of the Clausius-Duhem inequality an explicit formula of the dissipation is obtained. Thus the minimum free energy restores the customary relation between the dissipativity and the Clausius-Duhem inequality, that had been proved to fail when memory effects occur. Finally, by virtue of some of its properties, the minimum free energy is viewed as the square of a norm in a suitable space of the variables.

Journal of Non-Equilibrium Thermodynamics, Walter de Gruyter

Print ISSN: 0340-0204
Volume: 24, 09/1999
Pages: 154 - 176

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