Critical volume fraction and critical size for a cluster to nucleate

TL;DR

This paper derives the critical size and volume fraction for phase transition nucleation using entropy principles and CS state equations, aligning well with experimental data without introducing new parameters.

Contribution

It presents a parameter-free theoretical method to determine nucleation critical size and volume fraction based on entropy maximization and CS state equations.

Findings

Critical size and volume fraction match experimental results

Method is parameter-free and theoretically grounded

Applicable to phase transition nucleation analysis

Abstract

Combined with the principle of entropy maximum and CS state equation, the critical size for a cluster to nucleate then the critical volume fraction of a phase transition is determined in this paper, and our result is in good agreement with the experiments. Furthermore, no parameter is introduced in the discussion.