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Philosophical Magazine A Volume 40, 1979 - Issue 5
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Original Articles

Random walks on three–dimensional lattices with the coordination number four

Masahiro Koiwa The Research Institute for Iron, Steel and Other Metals, Tohoku University, Sendai, Japan
&
Shunya Ishioka The Research Institute for Iron, Steel and Other Metals, Tohoku University, Sendai, Japan
Pages 625-635 | Received 14 Dec 1978, Accepted 26 Apr 1979, Published online: 13 Sep 2006

Citations (22)

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Read on this site (5)

Dallas R. Trinkle. (2017) Automatic numerical evaluation of vacancy-mediated transport for arbitrary crystals: Onsager coefficients in the dilute limit using a Green function approach. Philosophical Magazine 97:28, pages 2514-2563.
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I.A. Szabó, M. Koiwa & S. Ishioka. (1991) Relationship between the correlation factor in tracer diffusion and the coordination number. Philosophical Magazine B 64:1, pages 83-90.
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IstvanA. Szabadr, Masahiro Koiwa & Shunya Ishioka. (1991) Correlation factor for diffusion via the sublattice vacancy mechanism in D03-type ordered alloys. Philosophical Magazine A 63:6, pages 1137-1148.
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Masahiro Koiwa & Shunya Ishioka. (1983) Integral methods in the calculation of correlation factors for impurity diffusion. Philosophical Magazine A 47:6, pages 927-938.
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Masahiro Koiwa & Shunya Ishioka. (1983) Random walks and correlation factor in diffusion in a three-dimensional lattice with coordination number 8. Philosophical Magazine A 48:1, pages 1-9.
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Articles from other publishers (17)

R S Hijjawi. (2009) The lattice Green function of the anisotropic diamond lattice. Physica Scripta 80:4, pages 045701.
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Helmut Mehrer. 2007. Diffusion in Solids. Diffusion in Solids 105 125 .
R. S. Hijjawi. (2006) Lattice Green's Function for the Diamond Lattice. International Journal of Theoretical Physics 45:1, pages 129-140.
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Yohichi Suzuki, Kazuo Kitahara, Youhei Fujitani & Sumie Kinouchi. (2002) Vacancy-Assisted Diffusion in a Honeycomb Lattice and in a Diamond Lattice. Journal of the Physical Society of Japan 71:12, pages 2936-2943.
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D A Faux & D K Ross. (1987) Tracer and chemical diffusion of hydrogen in BCC metals. Journal of Physics C: Solid State Physics 20:10, pages 1441-1457.
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R. A. Tahir-Kheli. (1987) Monte Carlo evaluation of the diffusion correlation factor in concentrated lattices and comparison with an improved theory. Physical Review B 35:11, pages 5503-5508.
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Sigeo Ihara & Katsuo Suzuki. (1986) Monte Carlo Study of Correlated Diffusion in Solids. Journal of the Physical Society of Japan 55:5, pages 1695-1702.
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R Kutner. (1985) Correlated hopping in honeycomb lattice: tracer diffusion coefficient at arbitrary lattice gas concentration. Journal of Physics C: Solid State Physics 18:34, pages 6323-6339.
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G.J. Van Der Kolk, A. Van Veen, J.Th.M. De Hosson & R.H.J. Fastenau. (1985) Effects of vacancies near substitutional implants on trapping and desorption of helium — a simulation. Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms 6:3, pages 525-532.
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Shigeo Ihara & Katsuo Suzuki. (1984) Monte Carlo Study of Diffusion in Non-Bravais Lattice: Application to the bcc Lattice. Journal of the Physical Society of Japan 53:10, pages 3476-3480.
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Henk van Beijeren, K. W. Kehr & R. Kutner. (1983) Diffusion in concentrated lattice gases. III. Tracer diffusion on a one-dimensional lattice. Physical Review B 28:10, pages 5711-5723.
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Masahiro Koiwa & Shunya Ishioka. (1983) Random walk properties of lattices and correlation factors for diffusion via the vacancy mechanism in crystals. Journal of Statistical Physics 30:2, pages 477-485.
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Barry D. Hughes & Stephen Prager. 1983. The Mathematics and Physics of Disordered Media: Percolation, Random Walk, Modeling, and Simulation. The Mathematics and Physics of Disordered Media: Percolation, Random Walk, Modeling, and Simulation 1 108 .
Gert Zumofen & Alexander Blumen. (1982) Energy transfer as a random walk. II. Two-dimensional regular lattices. The Journal of Chemical Physics 76:7, pages 3713-3731.
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K. W. Kehr, R. Kutner & K. Binder. (1981) Diffusion in concentrated lattice gases. Self-diffusion of noninteracting particles in three-dimensional lattices. Physical Review B 23:10, pages 4931-4945.
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I. László. (1981) Algorithm for the structure of large spherical clusters. Acta Physica Academiae Scientiarum Hungaricae 51:1-2, pages 41-49.
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M Koiwa & S Ishioka. (1980) Calculation of the correlation time for motional narrowing of the 181Ta Mössbauer line due to hydrogen diffusion. Solid State Communications 35:9, pages 729-730.
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