Oscillations and Multiscale Dynamics in a Closed Chemical Reaction System: Second Law of Thermodynamics and Temporal Complexity

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Please use this identifier to cite or link to this item: http://hdl.handle.net/1853/26898

Title: Oscillations and Multiscale Dynamics in a Closed Chemical Reaction System: Second Law of Thermodynamics and Temporal Complexity
Author: Li, Yongfeng ; Qian, Hong ; Yi, Yingfei
Abstract: We investigate the oscillatory reaction dynamics in a closed isothermal chemical system: the reversible Lotka-Volterra model. The Second Law of Thermodynamics dictates that the system ultimately reach an equilibrium. Quasi-stationary oscillations are analyzed while free energy of the system serves as a global Lyapunov function of the dissipative dynamics. A natural distinction between regions near and far from equilibrium in terms of the free energy can be established. The dynamics is analogous to a mechanical system with time-dependent increasing damping. Near equilibrium, no oscillation is possible as dictated by Onsager’s reciprocal symmetry relation. We observe that while free energy decreases in the closed system’s dynamics, it does not follow the steepest descending path.
Type: Pre-print
URI: http://hdl.handle.net/1853/26898
Date: 2008
Contributor: Georgia Institute of Technology. School of Mathematics
University of Washington. Dept. of Applied Mathematics
Jilin University. Dept. of Mathematics
Relation: CDSNS2008-416
Publisher: Georgia Institute of Technology

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