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Original Articles

Collective diffusion in the binary random alloy

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Pages 599-607 | Received 08 Feb 1999, Accepted 06 May 1999, Published online: 11 Aug 2009

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A. R. Allnatt, T. R. Paul, I. V. Belova & G. E. Murch. (2016) A high accuracy diffusion kinetics formalism for random multicomponent alloys: application to high entropy alloys. Philosophical Magazine 96:28, pages 2969-2985.
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T. R. Paul, I. V. Belova & G. E. Murch. (2016) Random alloy diffusion kinetics for the application to multicomponent alloy systems. Philosophical Magazine 96:12, pages 1228-1244.
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A.R. Allnatt, I.V. Belova & G.E. Murch. (2014) Diffusion kinetics in dilute binary alloys with the h.c.p. crystal structure. Philosophical Magazine 94:22, pages 2487-2504.
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A.V. Evteev, E.V. Levchenko, I.V. Belova & G.E. Murch. (2008) Shrinking kinetics by vacancy diffusion of hollow binary alloy nanospheres driven by the Gibbs–Thomson effect. Philosophical Magazine 88:10, pages 1525-1541.
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I. V. Belova, A. R. Allnatt & G. E. Murch. (2007) Interdiffusion in strongly ionic insulating compounds: The Nernst–Planck equation. Philosophical Magazine 87:27, pages 4169-4180.
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I. V. Belova & G. E. Murch. (2006) Enhancement of solute self-diffusion in fcc alloys. Philosophical Magazine 86:12, pages 1615-1629.
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Markus A. Hartmann, Richard Weinkamer, Peter Fratzl , JiŘÍ Svoboda & Franz Dieter Fischer. (2005) Onsager's coefficients and diffusion laws—a Monte Carlo study. Philosophical Magazine 85:12, pages 1243-1260.
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I.V. Belova & G.E. Murch . (2005) Analysis of vacancies produced at non-equilibrium concentrations by interdiffusion. Philosophical Magazine 85:11, pages 1191-1203.
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I. V. Belova & G. E. Murch. (2004) Analysis of interdiffusion via isolated vacancies in strongly ionic crystals. Philosophical Magazine 84:21, pages 2139-2146.
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I.V. Belova & G.E. Murch. (2001) Behaviour of the diffusion vacancy-wind factors in the concentrated random alloy. Philosophical Magazine A 81:7, pages 1749-1758.
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Articles from other publishers (26)

Christiane Ader, Jakyu Chun, Han‐Ill Yoo & Manfred Martin. (2023) Time Dependence of Kinetic Unmixing and Kinetic Decomposition of a Perovskite ABO 3 under Applied Voltage—A Case Study for BaTiO 3 . Advanced Functional Materials.
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Irina V. Belova & Graeme E. Murch. (2022) Relationships between chemical and tracer diffusion coefficients in strongly ionic crystals. International Journal of Materials Research 95:10, pages 870-875.
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Ravi Agarwal & Dallas R. Trinkle. 2020. Uncertainty Quantification in Multiscale Materials Modeling. Uncertainty Quantification in Multiscale Materials Modeling 93 118 .
Jon Gabriel Goiri, Sanjeev Krishna Kolli & Anton Van der Ven. (2019) Role of short- and long-range ordering on diffusion in Ni-Al alloys. Physical Review Materials 3:9.
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Dallas R. Trinkle. (2018) Variational Principle for Mass Transport. Physical Review Letters 121:23.
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Tumpa R. Paul, Irina V. Belova & Graeme E. Murch. (2018) Analysis of diffusion in high entropy alloys. Materials Chemistry and Physics 210, pages 301-308.
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Graeme E. Murch & Irina V. Belova. 2017. Handbook of Solid State Diffusion, Volume 1. Handbook of Solid State Diffusion, Volume 1 435 448 .
Hui-Chia Yu, Hsun-Yi Chen & K Thornton. (2012) Extended smoothed boundary method for solving partial differential equations with general boundary conditions on complex boundaries. Modelling and Simulation in Materials Science and Engineering 20:7, pages 075008.
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Hui-Chia Yu, A. Van der Ven & K. Thornton. (2012) Simulations of the Kirkendall-Effect-Induced Deformation of Thermodynamically Ideal Binary Diffusion Couples with General Geometries. Metallurgical and Materials Transactions A 43:10, pages 3481-3500.
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Qingchuan Xu & Anton Van der Ven. (2011) The effect of large vacancy concentration on intrinsic and interdiffusion coefficients: A first-principle study of B2-NiAl. Acta Materialia 59:3, pages 1095-1104.
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B. Swoboda, A. Van der Ven & D. Morgan. (2010) Assessing Concentration Dependence of FCC Metal Alloy Diffusion Coefficients Using Kinetic Monte Carlo. Journal of Phase Equilibria and Diffusion 31:3, pages 250-259.
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Qingchuan Xu & Anton Van der Ven. (2010) Atomic transport in ordered compounds mediated by local disorder: Diffusion in . Physical Review B 81:6.
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Anton Van der Ven, Hui-Chia Yu, Gerbrand Ceder & Katsuyo Thornton. (2010) Vacancy mediated substitutional diffusion in binary crystalline solids. Progress in Materials Science 55:2, pages 61-105.
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Hui-Chia Yu, Dong-Hee Yeon, Xiaofan Li & K. Thornton. (2009) Continuum simulations of the formation of Kirkendall-effect-induced hollow cylinders in a binary substitutional alloy. Acta Materialia 57:18, pages 5348-5360.
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Hui-Chia Yu, A. Van der Ven & K. Thornton. (2008) Theory of grain boundary diffusion induced by the Kirkendall effect. Applied Physics Letters 93:9.
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Irina V. Belova & Graeme E. Murch. (2007) Interdiffusion Data in Multicomponent Alloys as a Source of Quantitative Fundamental Diffusion Information. Defect and Diffusion Forum 263, pages 1-10.
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I. V. Belova & G. E. Murch. (2006) Analysis of interdiffusion data in multicomponent alloys to extract fundamental diffusion information. Journal of Phase Equilibria and Diffusion 27:6, pages 629-637.
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Irina V. Belova & Graeme E. Murch. Extraction of Diffusion Correlation Information from Tracer, Interdiffusion and Ionic Conductivity Data. Extraction of Diffusion Correlation Information from Tracer, Interdiffusion and Ionic Conductivity Data.
Irina V. Belova & Graeme E. Murch. (2006) Analysis of Interdiffusion and Intrinsic Diffusion in Multicomponent Alloys to Obtain Information about Diffusion Mechanisms. Defect and Diffusion Forum 258-260, pages 237-246.
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I.V. Belova, G.E. Murch, R. Filipek & M. Danielewski. (2005) Theoretical analysis of experimental tracer and interdiffusion data in Cu–Ni–Fe alloys. Acta Materialia 53:17, pages 4613-4622.
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I. V. Belova & G. E. Murch. (2005) Sum-rule relationships among phenomenological coefficients: Simplifications for the analysis of segregation and chemical diffusion. Journal of Phase Equilibria and Diffusion 26:5, pages 503-509.
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Yuri Mishin. 2005. Diffusion Processes in Advanced Technological Materials. Diffusion Processes in Advanced Technological Materials 113 171 .
Yuri Mishin. 2005. Diffusion Processes in Advanced Technological Materials. Diffusion Processes in Advanced Technological Materials 113 171 .
Irina V. Belova & Graeme E. Murch. (2004) Relationships between chemical and tracer diffusion coefficients in strongly ionic crystals. Zeitschrift für Metallkunde 95:10, pages 870-875.
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Irina V. Belova & Graeme E. Murch. (2003) A Simple Iterative Method for Analysing Experimental Tracer Diffusivities in Concentrated Binary Alloys. Defect and Diffusion Forum 224-225, pages 127-0.
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I.V. Belova, M.J. Brown & G.E. Murch. (2003) Analysis of kinetic demixing in a mixed oxide (A,B)O in an oxygen potential gradient. Acta Materialia 51:6, pages 1821-1826.
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