Nucleation and particle growth with fluctuating rates at the intermediate stage of phase transitions in metastable systems-Reference-Cited by-同舟云学术

Nucleation and particle growth with fluctuating rates at the intermediate stage of phase transitions in metastable systems

Published:2014-02-08 Issue:2162 Volume:470 Page:20130647
ISSN:1364-5021
Container-title:Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
language:en
Short-container-title:Proc. R. Soc. A.

Author:

Alexandrov D. V.¹,Nizovtseva I. G.²

Affiliation:

1. Department of Mathematical Physics, Ural Federal University, Lenin Avenue, 51, Ekaterinburg 620000, Russian Federation

2. Laboratoire des Sciences du Climat et de l'Environnement, Institut Pierre Simon Laplace (LSCE/IPSL CEA), L'Orme des Merisiers, Bat. 701, 91191, Gif sur Yvette Cedex, France

Abstract

An exact analytical solution of an integro-differential model describing the transient nucleation of solid particles (nuclei) and their growth with fluctuating rates at the intermediate stage of bulk phase transitions in metastable systems is constructed. Two important cases of the Weber–Volmer–Frenkel–Zel'dovich and Mier nucleation kinetics are detailed for supercooled melts and supersaturated solutions.

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

Link

https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.2013.0647

Reference39 articles.

1. Are Nucleation Kinetics of Protein Crystals Similar to Those of Liquid Droplets?

2. Homogeneous nucleation of supersaturated KCl-solutions from single levitated microdroplets

3. Theory of the intermediate stage of crystal growth with applications to protein crystallization

4. Simultaneous determination of nucleation and crystal growth kinetics of struvite using a thermodynamic modeling approach

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