Perturbed and Unperturbed: Analyzing the Conservatively Perturbed Equilibrium (Linear Case)

• Main Authors: Yiming Xi, Xinquan Liu, Denis Constales, Gregory S. Yablonsky
• Format: Article
• Language: English
• Published: MDPI AG 2020-10-01
• Series: Entropy
• Subjects: conservatively perturbed equilibrium; extreme value; momentary equilibrium
• Online Access: https://www.mdpi.com/1099-4300/22/10/1160

The “conservatively perturbed equilibrium” (CPE) technique for a complex chemical system is computationally analyzed in a batch reactor considering different linear mechanisms with three and four species. Contrary to traditional chemical relaxation procedures, in CPE experiments only some initial concentrations are modified; other conditions, including the total amount of chemical elements and temperature are kept unchanged. Generally, for “unperturbed” species with initial concentrations equal to their corresponding equilibrium concentrations, unavoidable extreme values are observed during relaxation to the equilibrium. If the unperturbed species is involved in one step only, this extremum is a momentary equilibrium of the step; if the unperturbed species is involved in more reactions, the extremum is not a momentary equilibrium. The acyclic mechanism with four species may exhibit two extrema and an inflection point, which corresponds to an extremum of the rate of the species change. These facts provide essential information about the detailed mechanism of the complex reaction.