# Lyapunov Thermodynamic Stability of the Evolution of Conservatively Perturbed Chemical Equilibrium

**Authors:** Anil A. Bhalekar, Vijay M. Tangde, Bjarne Andresen

PMC · DOI: 10.3390/e28020206 · Entropy · 2026-02-11

## TL;DR

This paper shows that a simple chemical equilibrium system remains stable over time when slightly disturbed.

## Contribution

The study proves asymptotic thermodynamic stability in a two-step reversible reaction using Lyapunov methods.

## Key findings

- Systems with conservatively perturbed chemical equilibrium are asymptotically thermodynamically stable.
- Lyapunov thermodynamic stability formulation confirms long-term stability in such reactions.

## Abstract

The thermodynamic stability of the evolution of a simple conservatively perturbed chemical equilibrium, that is, a two-step reversible reaction, is investigated using the Lyapunov thermodynamic stability formulation. We show that such systems are asymptotically thermodynamically stable.

## Full-text entities

- **Genes:** CPE (carboxypeptidase E) [NCBI Gene 1363] {aka BDVS, CPH, IDDHH}
- **Diseases:** injury to (MESH:D014947), LTS (MESH:D043171)
- **Chemicals:** A (MESH:D001151)
- **Species:** Homo sapiens (human, species) [taxon 9606]

## Full text

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## Figures

10 figures with captions in the complete paper: https://tomesphere.com/paper/PMC12939231/full.md

## References

21 references — full list in the complete paper: https://tomesphere.com/paper/PMC12939231/full.md

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Source: https://tomesphere.com/paper/PMC12939231