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Exact Evaluation of the Resistance in an Infinite Face-Centered Cubic Network

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Abstract

The equivalent resistance between the origin and the lattice site (2n,0,0), in an infinite Face Centered Cubic (FCC) network consisting from identical resistors each of resistance R, has been evaluated analytically and numerically. The asymptotic behavior of the equivalent resistance has been also investigated. Finally, some numerical values for the equivalent resistance are presented.

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References

  1. Bartis, F.J.: Am. J. Phys. 35, 354–362 (1967)

    Article  ADS  Google Scholar 

  2. Venezian, G.: Am. J. Phys. 62, 1000–1004 (1994)

    Article  ADS  Google Scholar 

  3. Atkinson, D., Van Steenwijk, F.J.: Am. J. Phys. 67, 486–492 (1999)

    Article  ADS  Google Scholar 

  4. Jeng, M.: Am. J. Phys. 68(1), 37–40 (2000)

    Article  MathSciNet  ADS  Google Scholar 

  5. Cserti, J.: Am. J. Phys. 68, 896–906 (2000)

    Article  ADS  Google Scholar 

  6. Cserti, J., David, G., Piroth, A.: Am. J. Phys. 70, 153–159 (2002)

    Article  ADS  Google Scholar 

  7. Cserti, J., Szechenyi, G., David, G.: J. Phys. A, Math. Theor. 44, 215201 (2011).

    Article  MathSciNet  ADS  Google Scholar 

  8. Asad, J.H., Sakaji, A., Hijjawi, R.S., Khalifeh, J.M.: Int. J. Theor. Phys. 43(11), 2223–2235 (2004)

    Article  Google Scholar 

  9. Asad, J.H., Sakaji, A., Hijjawi, R.S., Khalifeh, J.M.: Eur. Phys. J. B 52(2), 365 (2006)

    Article  ADS  Google Scholar 

  10. Asad, J.H., Hijjawi, R.S., Sakaji, A.J., Khalifeh, J.M.: Int. J. Theor. Phys. 44(4), 471–483 (2005)

    Article  MATH  Google Scholar 

  11. Hijjawi, R.S., Asad, J.H., Sakaji, A.J., Al-Sabayleh, M., Khalifeh, J.M.: Eur. Phys. J. Appl. Phys. 41, 111–114 (2008)

    Article  ADS  Google Scholar 

  12. Economou, E.N.: Green Function in Quantum Physics. Springer, Berlin (1983)

    Book  Google Scholar 

  13. Iwata, G.: Nat. Sci. Rep. Ochanomizu Univ. 20, 13 (1969)

    MathSciNet  MATH  Google Scholar 

  14. Morita, T., Horiguchi, T.: J. Math. Phys. 12, 986 (1971)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  15. Joyce, G.S.: J. Phys. C, Solid State Phys. 4, L53 (1971)

    Article  ADS  Google Scholar 

  16. Morita, T., Horiguchi, T.: J. Phys. A, Gen. Phys. 5, 67 (1972)

    Article  ADS  Google Scholar 

  17. Inoue, M.: J. Math. Phys. 15, 704 (1974)

    Article  ADS  Google Scholar 

  18. Morita, T.: J. Phys. A, Math. Gen. 8, 478 (1975)

    Article  ADS  Google Scholar 

  19. Doniach, S., Sondheimer, E.H.: Green’s Functions for Solid State Physicists. Benjamin, Reading (1974)

    Google Scholar 

  20. Glasser, M.L., Boersma, J.: J. Phys. A, Math. Gen. 33, 5017–5023 (2000)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  21. Joyce, G.S., Delves, R.T.: J. Stat. Phys. 145, 613–638 (2011)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  22. Katsura, S., Horiguchi, T.: J. Math. Phys. 12(2), 230–231 (1971)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  23. Hijjawi, R.S., Asad, J.H., Sakaji, A.J., Khalifeh, J.M.: Int. J. Theor. Phys. 11(43), 2299–2309 (2004)

    Article  Google Scholar 

  24. Asad, J.H.: Mod. Phys. Lett. B 21(2–3), 139 (2007)

    Article  ADS  MATH  Google Scholar 

  25. Asad, J.H.: Adv. Stud. Theor. Phys. 6(1–4), 165–176 (2012)

    MATH  Google Scholar 

  26. Watson, G.N.: Q. J. Math. Oxford 10, 266–276 (1939)

    Article  ADS  Google Scholar 

  27. Asad, J.H., Diab, A.A., Hijjawi, R.S., Khalifeh, J.M.: Eur. Phys. J. Plus 128, 2 (2013)

    Article  Google Scholar 

Download references

Acknowledgements

The author would like to thanks the referees for their very useful comments and remarks.

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  1. Dep. of Physics, Tabuk University, P.O. Box 741, Tabuk, 71491, Saudi Arabia

    Jihad H. Asad

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  1. Jihad H. Asad
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Correspondence to Jihad H. Asad.

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Asad, J.H. Exact Evaluation of the Resistance in an Infinite Face-Centered Cubic Network. J Stat Phys 150, 1177–1182 (2013). https://doi.org/10.1007/s10955-013-0716-x

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  • DOI: https://doi.org/10.1007/s10955-013-0716-x

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