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- W33688461 abstract "This chapter reviews the stability analysis based on the conventional Gibbs approach and the nonequilibrium thermodynamics theory. It considers the stability of equilibrium, near equilibrium, and far from equilibrium states with some case studies. The entropy production approach for nonequilibrium systems appears to be more general for stability analysis. One major implication of the nonequilibrium thermodynamics theory is the introduction of distance from global equilibrium as a constraint for determining the stability of nonequilibrium systems. When a system is far from global equilibrium, the possibility of new organized structures of matter arise beyond an instability point. As the nonequilibrium thermodynamics theory considers the implications of distance from global equilibrium, it may play a critical role in the understanding of the stability of nonequilibrium systems. Hydrodynamic instabilities develop mainly by the two competing mechanisms of destabilizing and stabilizing effects, such as kinematic nonlinearity working against viscosity, and gravity competing with a temperature gradient. The classical Gibbs stability theory considers the stability of isolated systems in which energy is totally randomized, and entropy reaches its maximum value, acting as Lyapunov function." @default.
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- W33688461 date "2007-01-01" @default.
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- W33688461 title "STABILITY ANALYSIS" @default.
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- W33688461 doi "https://doi.org/10.1016/b978-044453079-0/50014-6" @default.
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