Abstract
An isothermal theory of free energies and free enthalpies, corresponding to linear constitutive relations with memory, is presented for isotropic non-magnetic materials. This is a second paper, following recent work on a general tensor theory of isothermal dielectrics and on the form of the minimum free energy. Both papers are based on continuum thermodynamics. For a standard choice of relaxation function, the minimum and maximum free energies are given explicitly, using a method previously developed in a mechanics context. Also, a new family of intermediate free energy functionals is derived for dielectrics. All these are solutions of a constrained optimization problem.
| Original language | English |
|---|---|
| Pages (from-to) | 16-29 |
| Journal | Journal of Atomic and Nuclear Physics |
| Volume | 1 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 1 Jan 2017 |
Keywords
- isothermal theory
- free energies
- free enthalpies
- linear constitutive relations
- memory
- isotropic non-magnetic materials
- continuum thermodynamics
- relaxation function
- minimum free energy
- maximum free energy
- intermediate free energy functionals
- constrained optimization problem