Transient regimes in conservatively perturbed equilibria: New kinetic invariances

Jonah Sachs; John E. McCarthy; Gregory S. Yablonsky

doi:10.1016/j.cej.2026.174230

Transient regimes in conservatively perturbed equilibria: New kinetic invariances

Jonah Sachs
, John E. McCarthy
, Gregory S. Yablonsky

Research output: Contribution to journal › Article › peer-review

Abstract

New developments of kinetic behavior of chemical systems with conservatively perturbed equilibria (CPE) are presented, specifically for the linear cases with one degree of freedom. New analytical expressions for transition curves with over- and under-equilibria, or “master curves” have been obtained. For two-step linear reactions, these expressions generate new kinetic invariances which are simple functions of kinetic coefficients. This paper utilizes these new theoretical developments to form a new solution for determining the chemical mechanism and kinetic coefficients for chemical kinetic systems, through the combination of kinetic invariants and master curves.

Original language	English
Article number	174230
Journal	Chemical Engineering Journal
Volume	531
DOIs	https://doi.org/10.1016/j.cej.2026.174230
State	Published - Mar 1 2026

Keywords

Chemical kinetics
Conservatively perturbed equilibrium (CPE)
Joint kinetics
Linear mechanism

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10.1016/j.cej.2026.174230

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title = "Transient regimes in conservatively perturbed equilibria: New kinetic invariances",

abstract = "New developments of kinetic behavior of chemical systems with conservatively perturbed equilibria (CPE) are presented, specifically for the linear cases with one degree of freedom. New analytical expressions for transition curves with over- and under-equilibria, or “master curves” have been obtained. For two-step linear reactions, these expressions generate new kinetic invariances which are simple functions of kinetic coefficients. This paper utilizes these new theoretical developments to form a new solution for determining the chemical mechanism and kinetic coefficients for chemical kinetic systems, through the combination of kinetic invariants and master curves.",

keywords = "Chemical kinetics, Conservatively perturbed equilibrium (CPE), Joint kinetics, Linear mechanism",

author = "Jonah Sachs and McCarthy, \{John E.\} and Yablonsky, \{Gregory S.\}",

note = "Publisher Copyright: {\textcopyright} 2026",

year = "2026",

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doi = "10.1016/j.cej.2026.174230",

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T2 - New kinetic invariances

AU - Sachs, Jonah

AU - McCarthy, John E.

AU - Yablonsky, Gregory S.

PY - 2026/3/1

Y1 - 2026/3/1

N2 - New developments of kinetic behavior of chemical systems with conservatively perturbed equilibria (CPE) are presented, specifically for the linear cases with one degree of freedom. New analytical expressions for transition curves with over- and under-equilibria, or “master curves” have been obtained. For two-step linear reactions, these expressions generate new kinetic invariances which are simple functions of kinetic coefficients. This paper utilizes these new theoretical developments to form a new solution for determining the chemical mechanism and kinetic coefficients for chemical kinetic systems, through the combination of kinetic invariants and master curves.

AB - New developments of kinetic behavior of chemical systems with conservatively perturbed equilibria (CPE) are presented, specifically for the linear cases with one degree of freedom. New analytical expressions for transition curves with over- and under-equilibria, or “master curves” have been obtained. For two-step linear reactions, these expressions generate new kinetic invariances which are simple functions of kinetic coefficients. This paper utilizes these new theoretical developments to form a new solution for determining the chemical mechanism and kinetic coefficients for chemical kinetic systems, through the combination of kinetic invariants and master curves.

KW - Chemical kinetics

KW - Conservatively perturbed equilibrium (CPE)

KW - Joint kinetics

KW - Linear mechanism

UR - https://www.scopus.com/pages/publications/105030469085

U2 - 10.1016/j.cej.2026.174230

DO - 10.1016/j.cej.2026.174230

M3 - Article

AN - SCOPUS:105030469085

SN - 1385-8947

VL - 531

JO - Chemical Engineering Journal

JF - Chemical Engineering Journal

M1 - 174230

ER -

Transient regimes in conservatively perturbed equilibria: New kinetic invariances

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Keywords

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