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  Cellular automata modeling of Ostwald ripening and Rayleigh instability

Han, F. (2018). Cellular automata modeling of Ostwald ripening and Rayleigh instability. Materials, 11(10): 1936. doi:10.3390/ma11101936.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0002-7545-D Version Permalink: http://hdl.handle.net/21.11116/0000-0002-7547-B
Genre: Journal Article

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 Creators:
Han, Fengbo1, Author              
Affiliations:
1Theory and Simulation, Microstructure Physics and Alloy Design, Max-Planck-Institut für Eisenforschung GmbH, Max Planck Society, ou_1863392              

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Free keywords: Cellular automata; Cylinders (shapes); Grain boundaries; Particle size; Phase interfaces; Rayleigh scattering; Stability, Cellular automata modeling; Curvature-driven; Interface migration; Phase volume fraction; Rayleigh instability; Sinusoidal perturbations; Spheroidization; Two phase systems, Ostwald ripening
 Abstract: A cellular automata (CA) approach to modeling both Ostwald ripening and Rayleigh instability was developed. Curvature-driven phase interface migration was implemented to CA model, and novel CA rules were introduced to ensure the conservation of phase volume fraction of nearly equilibrium two-phase system. For transient Ostwald ripening, it is shown that the temporal growth exponent m is evolving with time and non-integer temporal exponents between 2 and 3 are predicted. The varying temporal growth exponent m is related to the particle size distributions (PSDs) evolution. With an initial wide PSD, it becomes narrowed toward steady state. With an initial narrow PSD, it becomes widened at first and then narrowed toward steady state. For Rayleigh instability, two cases (one with sinusoidal perturbation on the surface of the long cylinder, and the other with grain boundaries in the interior of the long cylinder) were simulated, and the breakup of the long cylinder was shown for both cases. In the end, a system containing long cylinders with interior grain boundaries was simulated, which demonstrated the integration of Rayleigh instability and Ostwald ripening relating to the spheroidization of the lamellar structure. © 2018 by the authors.

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Language(s): eng - English
 Dates: 2018-10-11
 Publication Status: Published in print
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Method: Peer
 Identifiers: DOI: 10.3390/ma11101936
BibTex Citekey: Han2018
 Degree: -

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Title: Materials
  Abbreviation : Materials
Source Genre: Journal
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Publ. Info: Basel : MDPI
Pages: - Volume / Issue: 11 (10) Sequence Number: 1936 Start / End Page: - Identifier: ISSN: 1996-1944
CoNE: https://pure.mpg.de/cone/journals/resource/1996-1944