A Preliminary Analysis on Internal Entropy Production as a Lyapunov Function for Equilibrium in Irreversible Multiphase Systems
(2022) IFAC Proceedings — Vol. 55, n° 18, p. 27-32 (2022)
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- Authors
Dochain, Denis 
- Abstract
- Thermodynamics has served as a framework to establish physics-based criteria for the stabilization, control and optimization of process systems. In this article, we establish conditions for the internal entropy production rate to characterize the stability properties of thermal equilibrium in irreversible multiphase systems. In particular, in Theorem 1, we show how, as a multiphase system evolves towards equilibrium, internal entropy production decreases monotonically in time for a particular class of multiphase systems. Being positive semi-definite and having a semi-negative definite time derivative, internal entropy production is thus a Lyapunov function that characterizes the stability of thermal equilibrium in multiphase irreversible systems.
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Citations
Aaron Romo, Nicolas Hudon, Erik Ydstie, & Dochain, D. (2022). A Preliminary Analysis on Internal Entropy Production as a Lyapunov Function for Equilibrium in Irreversible Multiphase Systems. IFAC Proceedings, 55(18), 27-32. https://hdl.handle.net/2078.5/102105 (Original work published 2022)