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Philosophical Magazine Letters Volume 58, 1988 - Issue 6
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Original Articles

Computer simulation of two-dimensional normal grain growth (the ‘gas’ approximation)

V. E. Fradkov Institute for Solid-state Physics, Academy of Sciences of the U.S.S.R., Chernogolovka, 142432, U.S.S.R.
,
D. G. Udler Institute for Solid-state Physics, Academy of Sciences of the U.S.S.R., Chernogolovka, 142432, U.S.S.R.
&
R. E. Kris Institute for Solid-state Physics, Academy of Sciences of the U.S.S.R., Chernogolovka, 142432, U.S.S.R.
Pages 277-283 | Received 20 Aug 1988, Accepted 30 Aug 1988, Published online: 20 Aug 2006

Citations (24)

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Read on this site (3)

C.S. Pande, R.A. Masumura & S.P. Marsh. (2001) Stochastic analysis of two-dimensional grain growth. Philosophical Magazine A 81:5, pages 1229-1239.
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D. Weygand, Y. Bréchet & Z. Néda. (1997) Capillarity-driven interface dynamics: Application to grain growth phenomenon. Philosophical Magazine B 75:6, pages 937-949.
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V.E. Fradkov & D. Udler. (1994) Two-dimensional normal grain growth: topological aspects. Advances in Physics 43:6, pages 739-789.
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Articles from other publishers (21)

Jaekwang Kim & Nikhil Chandra Admal. (2023) A stochastic framework for evolving grain statistics using a neural network model for grain topology transformations. Computational Materials Science 216, pages 111812.
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Yizhu He, Hanlin Ding, Liufa Liu & Keesam Shin. (2006) Computer simulation of 2D grain growth using a cellular automata model based on the lowest energy principle. Materials Science and Engineering: A 429:1-2, pages 236-246.
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H.L. Ding, Y.Z. He, L.F. Liu & W.J. Ding. (2006) Cellular automata simulation of grain growth in three dimensions based on the lowest-energy principle. Journal of Crystal Growth 293:2, pages 489-497.
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MirFaez Miri & Nicolas Rivier. (2006) Universality in two-dimensional cellular structures evolving by cell division and disappearance. Physical Review E 73:3.
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C Lou & M A Player. (2001) Advection-diffusion model for normal grain growth. Journal of Physics D: Applied Physics 34:9, pages 1286-1292.
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Byung-Nam Kim. (2000) Two-dimensional simulation of grain growth based on an atomic jump model for grain boundary migration. Materials Science and Engineering: A 283:1-2, pages 164-171.
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W.W. Mullins. (1998) Grain growth of uniform boundaries with scaling. Acta Materialia 46:17, pages 6219-6226.
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M A Player & Z Shi. (1997) An `advection - diffusion' model for grain growth. Journal of Physics D: Applied Physics 30:3, pages 468-474.
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B Levitan & E Domany. (1995) Topological Model of Soap Froth Evolution with Deterministic T 2 Processes . Europhysics Letters (EPL) 32:7, pages 543-548.
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M. Palmer, K. Rajan, M. Glicksman, V. Fradkov & J. Nordberg. (1995) Two-dimensional grain growth in rapidly solidified succinonitrile films. Metallurgical and Materials Transactions A 26:5, pages 1061-1066.
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V.E. Fradkov, M.E. Glicksman, M. Palmer & K. Rajan. (1994) Topological events in two-dimensional grain growth: Experiments and simulations. Acta Metallurgica et Materialia 42:8, pages 2719-2727.
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H.J. Frost. (1994) Microstructural evolution in thin films. Materials Characterization 32:4, pages 257-273.
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M. A. Fortes. (1994) Grain growth controlled by triple junctions: Effect of number of topological elements. Interface Science 2:2, pages 183-191.
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M.A. Fortes. (1994) On the existence of a scaling relation in the evolution of cellular systems. Acta Metallurgica et Materialia 42:5, pages 1643-1651.
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Henrik Flyvbjerg. (1993) Model for coarsening froths and foams. Physical Review E 47:6, pages 4037-4054.
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J Stavans. (1993) The evolution of cellular structures. Reports on Progress in Physics 56:6, pages 733-789.
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V.E. Fradkov, M.E. Glicksman, M. Palmer, J. Nordberg & K. Rajan. (1993) Topological rearrangements during 2D normal grain growth. Physica D: Nonlinear Phenomena 66:1-2, pages 50-60.
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Henrik Flyvbjerg. (1993) Dynamics of soap froth. Physica A: Statistical Mechanics and its Applications 194:1-4, pages 298-306.
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Daniel Segel, David Mukamel, Oleg Krichevsky & Joel Stavans. (1993) Selection mechanism and area distribution in two-dimensional cellular structures. Physical Review E 47:2, pages 812-819.
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J Stavans, E Domany & D Mukamel. (1991) Universality and Pattern Selection in Two-Dimensional Cellular Structures. Europhysics Letters (EPL) 15:5, pages 479-484.
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Henrik Flyvbjerg & Claus Jeppesen. (1991) A Solvable Model for Coarsening Soap Froths and Other Domain Boundary Networks in Two Dimensions. Physica Scripta T38, pages 49-54.
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