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Minimum free energy in linear thermoelectromagnetism. (English) Zbl 1087.74026

The authors write down the constitutive equation for an electromagnetic field with memory effects for the current and charge and point out that certain relations for the field equations must hold, because of the caused thermodynamics. The temperature changes relative to the absolute temperature are assumed to be small. There is a discussion of the conditions which the constitutive constant must obey, and the evolution process is set out. The concept of thermoelectromagnetic work is explained, and it is pointed out that the work done in any process is positive. The idea of the equivalence of histories is introduced. The theorem of minimum free energy is proved in two ways. The theory is illustrated for a particular class of relaxation functions.

MSC:

74F15 Electromagnetic effects in solid mechanics
74A15 Thermodynamics in solid mechanics
74G75 Inverse problems in equilibrium solid mechanics
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