Nonequilibrium thermodynamics versus model grain growth: derivation and some physical implications

TL;DR

This paper applies nonequilibrium thermodynamics to derive the flux in grain growth processes involving bubbles, discussing power and non-power limits and the self-similar nature of nucleation and growth kinetics.

Contribution

It introduces a thermodynamic formalism to model grain growth with bubbles, highlighting physical implications and the role of correlations in such systems.

Findings

Derived flux equations for grainy matter in nucleation processes

Identified power and non-power limits influenced by potential and correlations

Discussed self-similar kinetics in nucleation and growth processes

Abstract

Nonequilibrium thermodynamics formalism is proposed to derive the flux of grainy (bubbles-containing) matter, emerging in a nucleation growth process. Some power and non-power limits, due to the applied potential as well as owing to basic correlations in such systems, have been discussed. Some encouragement for such a discussion comes from the fact that the nucleation and growth processes studied, and their kinetics, are frequently reported in literature as self-similar (characteristic of algebraic correlations and laws) both in basic entity (grain; bubble) size as well as time scales.