Irreversible processes at nonequilibrium steady states
- 1 May 1979
- journal article
- Published by Proceedings of the National Academy of Sciences in Proceedings of the National Academy of Sciences
- Vol. 76 (5), 2114-2117
- https://doi.org/10.1073/pnas.76.5.2114
Abstract
It is shown that a Liapunov criterion exists for the stability of nonequilibrium steady states. This criterion is based upon the fluctuation-dissipation relation, as was first pointed out by Keizer. At steady states, the Liapunov function is constructed from the covariance matrix for the thermodynamic variables. Unlike the situation around equilibrium, at steady states the covariance matrix and the "excess entropy" matrix are not equivalent. The excess entropy, which serves as the Liapunov function around equilibrium, does not work in this capacity at steady states. Keizer's Liapunov function must be viewed as the first correct candidate for a proper Liapunov function for steady states.Keywords
This publication has 2 references indexed in Scilit:
- Qualms Regarding the Range of Validity of the Glansdorff-Prigogine Criterion for Stability of Non-Equilibrium StatesProceedings of the National Academy of Sciences, 1974
- Selforganization of matter and the evolution of biological macromoleculesThe Science of Nature, 1971