Instabilities and oscillations in ‘‘The Reversible Oregonator Model’’: A thermodynamic approach to calculate the excess entropy production (δmP) and the corresponding antisymmetric function (δmΠ)

TLDR: In this article, the authors derived expressions for the excess entropy production (δmP) and the corresponding antisymmetric function in terms of the rate constants of the steps, the concentrations of reactants and products, steady state concentrations of the intermediates, and the coefficients of the real and imaginary parts of the complex differentials δX, δY, and δZ.

Abstract: Near equilibrium thermodynamic analysis of the reversible ‘‘Oregonator kinetic model’’ has been done using the entropy production technique of Prigogine in the range of the validity of the Onsager relations. Expressions for the excess entropy production (δmP) and the corresponding antisymmetric function (δmΠ) have been derived in terms of the rate constants of the steps, the concentrations of the reactants and products, steady state concentrations of the intermediates, and the coefficients of the real and imaginary parts of the complex differentials δX, δY, and δZ, which represent, respectively, the fluctuations from the steady state concentrations of the intermediates X, Y, and Z. Factors destabilizing the steady states have been determined and steps other than autocatalytic and cross catalytic are also found to be involved.