Document Type
Article
Disciplines
Pure mathematics, Applied mathematics
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.
DOI
http://doi.org10.21427/cbm9-g774
Recommended Citation
Glasgow S, Golden JM (2017) Dielectric Materials with Memory II: Free Energies in Non-Magnetic Materials. J At Nucl Phys 1(1):16-29 doi: 10.21427/cbm9-g774
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Publication Details
"Journal of atomic and nuclear physics", Published online December 2017.