Hamilton's Principle and Nonequilibrium Thermodynamics
- 1 September 1971
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 4 (3), 1268-1274
- https://doi.org/10.1103/physreva.4.1268
Abstract
A variational principle, analogous to Hamilton's principle of mechanics, is proposed which leads to the equations of both nonequilibrium thermodynamics and hydrodynamics. The Onsager relations are equivalent to the use of a heat production function , analogous to the Rayleigh dissipation function. , where , is used as the total differential of the potential energy. represents the total change in the internal energy. Limitations of the theory are briefly considered. The effect of an applied magnetic field is briefly considered in an Appendix. The Onsager relations are derived for a system held in a magnetic field.
Keywords
This publication has 2 references indexed in Scilit:
- Variational principles and chemical reactionsIl Nuovo Cimento (1869-1876), 1957
- The derivation of the equations of motion of an ideal fluid by Hamilton's principleMathematical Proceedings of the Cambridge Philosophical Society, 1955