The formation of a solid nucleus in supercooled liquid. I
type: Item
instance of: scholarly article
title: The formation of a solid nucleus in supercooled liquid. I
zbMATH Open document ID: 0668.76079
published in: Journal of Non-Equilibrium Thermodynamics
publication date: 1988-01-01T00:00:00Z
review text: A careful analysis of the thermodynamics of a phase transition involving supercooled liquid is presented. Relations are developed for equilibrium temperature, pressures and volumes of solid and liquid from conservation relations and mathematical statements of thermal, mechanical and chemical equilibrium. Surface area, curvature and pressure effects are considered. Initial data are the temperature, pressure and volume of a supercooled liquid in which nucleation is assumed to have occurred. Generalized Clapeyron type equations in the presence of curved interfaces and a generalization of the Gibbs-Thompson relation between curvature of the phase change interface and the transition temperature at the interface are derived and discussed.
Mathematics Subject Classification ID: 76N15
Mathematics Subject Classification ID: 80A20
Mathematics Subject Classification ID: 74A15
zbMATH DE Number: 4095070
zbMATH Keywords: isotropic solid nucleus
zbMATH Keywords: thermodynamics
zbMATH Keywords: phase transition
zbMATH Keywords: supercooled liquid
zbMATH Keywords: equilibrium temperature
zbMATH Keywords: pressures and volumes of solid and liquid
zbMATH Keywords: Surface area
zbMATH Keywords: curvature
zbMATH Keywords: Clapeyron type equations
zbMATH Keywords: generalization of the Gibbs-Thompson relation
author: Vasilios Alexiades
author: Alan D. Solomon
author: David G. Wilson
MaRDI profile type: Publication
full work available at URL: jnet.1988.13.3.281
OpenAlex ID: W2095478491
DOI: 10.1515/JNET.1988.13.3.281
description: scientific article; zbMATH DE number 4095070