Chemical System Complexity and Bifurcation Point: a New Relationship

TL;DR

This paper establishes a new logarithmic relationship between chemical system complexity and the deviation of its bifurcation point from thermodynamic equilibrium, enabling predictions of system destabilization efforts.

Contribution

It introduces a novel relationship linking system complexity to bifurcation point deviation in discrete thermodynamics, aiding in predicting system stability thresholds.

Findings

Deviation from equilibrium is proportional to the logarithm of complexity.

The relationship allows prediction of destabilization efforts.

Simulation confirms the proportionality across various systems.

Abstract

The article introduces a new relationship between the chemical system complexity and deviation of its bifurcation point from thermodynamic equilibrium. In the formalism of discrete thermodynamics of chemical equilibria, simulation of numerous equilibrium cases with regards to complexity of the reaction hosting systems has lead to a conclusion that the system deviation from thermodynamic equilibrium at the bifurcation point is directly proportional to logarithm of the system complexity parameter. With this relationship one can predict the efforts that are sufficient to destabilize the system thermodynamic branch and achieve the bifurcations area.