Variations of parameters in nucleation process under different external conditions

TL;DR

This paper explores how external conditions influence nucleation processes, linking the duration of nucleation to microscopic free energy corrections and revealing a relation akin to quantum uncertainty principles.

Contribution

It introduces a theoretical framework connecting external conditions, microscopic free energy corrections, and nucleation duration, with insights into quantum-like uncertainty relations.

Findings

Duration of nucleation relates to microscopic free energy corrections.

Variations in critical embryo free energy affect nucleation time.

Some relations resemble quantum uncertainty principles.

Abstract

The nucleation process under different external conditions is considered. It is shown that the duration of this process can be connected with the microscopic corrections to the free energy of the critical embryo. Connection between variations in the value of the critical embryo free energy and the duration of the nucleation stage is given for several types of external conditions. This connection is in some cases reciprocal to uncertainty relation in quantum theory. In Appendix the derivation of main features of the general theory on the base of restrictions coming from the possibility of effective and stable observations is given.