Abstract
We describe technical details on a new method of calculating the conductivity of random resistor networks which uses transfer matrix ideas. We give a program which calculates the conductivity of three-dimensional bars, and we provide a few comments on the advantages of this method and its performances.
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References
S. Kirkpatrick,Rev. Mod. Phys. 45:570 (1973).
I. Webman, J. Jortner, and M. H. Cohen,Phys. Rev. B 11:2885 (1975).
J. P. Straley,Phys. Rev. B 15:5733 (1977).
R. Blanc, C. D. Mitescu, and G. Thevenot,J. Phys. (Paris) 41:387 (1980).
C. D. Mitescu, M. Allain, E. Guyon, and J. Clerc,J. Phys. A 15:2523 (1982).
P. S. Li and W. Strieder,J. Phys. C 15:6591 (1982);J. Phys. C 15:L1235 (1982).
C. J. Lobb and D. J. Frank,J. Phys. C 12:L827 (1979).
R. Fogelholm,J. Phys. C 13:L571 (1980).
A. K. Sarychev and A. P. Vinogradoff,J. Phys. C 14:L487 (1981).
M. Sahimi, B. Hughes, L. E. Scriven, and H. T. Davis,J. Phys. C 16:L521 (1983).
B. Derrida and J. Vannimenus,J. Phys. A 15:L557 (1982).
B. Derrida, D. Stauffer, H. J. Herrmann, and J. Vannimenus,J. Phys. Lett. (Paris) 44:L701 (1983).
J. Hoshen and R. Kopelman,Phys. Rev. B 14:3428 (1976).
R. B. Pandey, D. Stauffer, A. Margolina, and J. G. Zabolitsky,J. Stat. Phys., to be published.
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Derrida, B., Zabolitzky, J.G., Vannimenus, J. et al. A transfer matrix program to calculate the conductivity of random resistor networks. J Stat Phys 36, 31–42 (1984). https://doi.org/10.1007/BF01015724
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DOI: https://doi.org/10.1007/BF01015724