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Two-Point Resistance on the Centered-Triangular Lattice |
| M. Q. Owaidat1,2**, A. A. Al-Badawi1, J. H. Asad3, Mohammed Al-Twiessi1 |
1Department of Physics, Al-Hussein Bin Talal University, Ma'an 71111, Jordan
2Department of Physics, Faculty of Sciences, Taibah University, Yanbu, Kingdom of Saudi Arabia
3Department of Physics, Faculty of Arts and Sciences, Palestine Technical University, Kadoorie, Tulkarm, Palestine
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M. Q. Owaidat, A. A. Al-Badawi, J. H. Asad et al 2018 Chin. Phys. Lett. 35 020502 |
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Abstract The resistance between any two lattice points in an infinite, centered-triangular lattice of equal resistors is determined using the lattice Green function method. It is shown that the two-point resistance on the centered-triangular lattice is expressed in terms of the resistance of a triangular lattice. Some exact values for the resistance near the origin of the lattice are presented. For large separation between lattice points the asymptotic forms of the resistance are calculated.
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Received: 11 September 2017
Published: 23 January 2018
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