On the theory of the unsteady-state growth of spherical crystals in metastable liquids

Research output: Contribution to journalArticleResearchpeer-review

4 Citations (Scopus)
Original languageEnglish
Article number20180209
Number of pages10
JournalPhilosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume377
Issue number2143
DOIs
Publication statusPublished - 22 Apr 2019

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unsteady state
Crystal
Liquid
Crystals
Liquids
liquids
crystals
Supercooling
Directly proportional
Radius
Laplace Integral
Moving Boundary Problem
Heterogeneous Materials
Crystal growth
integral transformations
radii
Power Function
Integral Transform
supercooling
Steady-state Solution

Keywords

  • crystal growth
  • metastable liquid
  • moving-boundary problem
  • phase transformation
  • CRYSTALLIZATION
  • MELT
  • MUSHY LAYER
  • SOLIDIFICATION
  • INTERMEDIATE STAGE
  • NONLINEAR DYNAMICS
  • EVOLUTION
  • KINETICS
  • NUCLEATION

ASJC Scopus subject areas

  • Mathematics(all)
  • Engineering(all)
  • Physics and Astronomy(all)

WoS ResearchAreas Categories

  • Multidisciplinary Sciences

Cite this

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title = "On the theory of the unsteady-state growth of spherical crystals in metastable liquids",
keywords = "crystal growth, metastable liquid, moving-boundary problem, phase transformation, CRYSTALLIZATION, MELT, MUSHY LAYER, SOLIDIFICATION, INTERMEDIATE STAGE, NONLINEAR DYNAMICS, EVOLUTION, KINETICS, NUCLEATION",
author = "Alexandrov, {Dmitri V.} and Alexandrova, {Irina V.}",
year = "2019",
month = "4",
day = "22",
doi = "10.1098/rsta.2018.0209",
language = "English",
volume = "377",
journal = "Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences",
issn = "1364-503X",
publisher = "Royal Society Publishing",
number = "2143",

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T1 - On the theory of the unsteady-state growth of spherical crystals in metastable liquids

AU - Alexandrov, Dmitri V.

AU - Alexandrova, Irina V.

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KW - moving-boundary problem

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KW - SOLIDIFICATION

KW - INTERMEDIATE STAGE

KW - NONLINEAR DYNAMICS

KW - EVOLUTION

KW - KINETICS

KW - NUCLEATION

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DO - 10.1098/rsta.2018.0209

M3 - Article

VL - 377

JO - Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences

JF - Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences

SN - 1364-503X

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