Abstract
In the preceding chapter we examined the relationship between fluctuations and the stability of steady states. That relationship depends on the dynamical character of the fluctuations, which incessantly explore nearby states testing for stability. At equilibrium there is another important connection between stability and macroscopic observations. This connection is provided by the Second Law of thermodynamics and leads to a quadratic Liapunov function for relaxation processes near equilibrium. This relationship is closely connected to the classical LeChatelier-Braun principle and, as we will see, actually follows in a simple fashion from what we learned in Chapter 7 regarding the dynamics of fluctuations. In the subsequent sections of this chapter, we show that a similar connection to thermodynamics can be made at nonequilibrium steady states by introducing a suitable generalization of the thermodynamic state functions.
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© 1987 Springer Science+Business Media New York
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Keizer, J. (1987). Thermodynamics and the Stability of Steady States. In: Statistical Thermodynamics of Nonequilibrium Processes. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1054-2_8
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DOI: https://doi.org/10.1007/978-1-4612-1054-2_8
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