Journal ArticleDOI
Entropy production in the reversible Oregonator oscillatory model: The calculation of chemical entropy production rate in the course of a complete oscillation cycle
TLDR
In this paper, the authors extended the five-step reversible Oregonator model of the oscillatory Belousov-Zhabotinskii reaction by introducing reversibility into the various steps.Abstract:
Field expanded the five step Oregonator model of the oscillatory Belousov–Zhabotinskii reaction by introducing reversibility into the various steps. The present work involves the calculation of entropy flow (φ[S]) and entropy production (P[S]) in a specially designed reversible Oregonator. Entropy flow due to thermostatic temperature control and the osmotic transport of the reactants (A,B) and product (P) into and out of the reactor has been considered. Entropy production (e.p.) due to mixing of the reactants and product, diffusion of the intermediates (X, Y, and Z), and most importantly the chemical reactions has been considered. An attempt has been made to calculate the e.p. of the model using the results obtained by Field by numerical integration of the appropriate stiff kinetic differential equations. The following new results are obtained: (a) Limit cycle traces of e.p. against concentration of the oscillatory intermediates have been constructed. (b) The model resides on the low e.p. branch for about...read more
Citations
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Journal ArticleDOI
Calculation of the rate of entropy production for a model chemical reaction
Benjamin R. Irvin,John Ross +1 more
TL;DR: In this article, the rate of entropy production due to chemical reaction is calculated for a variety of parameter values in the reversible Oregonator model, and the average values over cycles of oscillation are compared to those in the coexisting stationary states.
Journal ArticleDOI
Limit cycles and discontinuous entropy production changes in the reversible Oregonator
TL;DR: In this article, it was shown that the chemical entropy in the reversible Oregonator changes discontinuously at critical values of the concentration parameter at which points a limit cycle bifurcates out of an unstable steady state.
Chemical Reactions and Possible Entropy Decrease in Isolated System
TL;DR: This work proposes quantitatively the sufficient and necessary condition of entropy decrease in isolated system, and discusses the hysteresis as limit cycle, oscillation and catalyst, etc.
Journal ArticleDOI
Hysteresis in entropy production in a model chemical reaction exhibiting subcritical hopf bifurcation
TL;DR: In this article, a thermodynamic formulation of multistable structures in a nonlinear dissipative system is presented, where a bistability in the entropy production between a steady state and an oscillatory state is reported in the neighborhood of a subcritical Hopf bifurcation.
References
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Book
Thermodynamic Theory of Structure, Stability and Fluctuations
Paul Glansdorff,Ilya Prigogine +1 more
Journal ArticleDOI
Oscillations in chemical systems. II. Thorough analysis of temporal oscillation in the bromate-cerium-malonic acid system
Journal ArticleDOI
Oscillations in chemical systems. IV. Limit cycle behavior in a model of a real chemical reaction
TL;DR: In this paper, the authors generalized the chemical mechanism of Field, Koros, and Noyes for the oscillatory Belousov reaction by a model composed of five steps involving three independent chemical intermediates.
BookDOI
[Cell-membrane transport].
TL;DR: This laboratory will demonstrate two passive processes, diffusion and osmosis, which cross the cell membrane by passive processes that do not require an expenditure of energy.