The minimum free energy for an electromagnetic conductor

Abstract

We consider the linear theory of the electromagnetism characterized by a constitutive equation for the current density with memory effects. We find in the frequency domain a first expression of the minimum free energy, which is the maximum recoverable work we can obtain from a given state of the material. By using another equivalent formulation of the minimum free energy, we give the explicit formulae for the particular case of a discrete spectrum model material response.

Keywords:

• Electromagnetism
• Fading memory
• Free energy
• AMS Subject Classifications: 78A25
• 74A15

Acknowledgment

Work performed under the support of C.N.R. and M.I.U.R.

Notes

E-mail: [email protected]

Additional information

Notes on contributors

Giovambattista Amendola *

E-mail: [email protected]