Appendix C: Functional Derivatives
Published Online: 27 JAN 2005
Copyright © 2005 John Wiley & Sons, Inc. All rights reserved.
Beyond Equilibrium Thermodynamics
How to Cite
Öttinger, H. C. (2005) Appendix C: Functional Derivatives, in Beyond Equilibrium Thermodynamics, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/0471727903.app3
- Published Online: 27 JAN 2005
- Published Print: 2 MAR 2005
Print ISBN: 9780471666585
Online ISBN: 9780471727903
- first and second functional derivatives;
- extremization of functionals;
In the formulation of the GENERIC framework of beyond-equilibrium thermodynamics, functional derivatives of the energy and entropy play a central role. In this appendix, we first develop the basic formulas for calculating functional derivatives, we then present some conditions for the existence of extrema of functionals, and we finally describe how constraints on the independent variables can be incorporated into such calculations of functional derivatives. After the presentation of the basic definitions, all the developments are performed in terms of specific examples.