Resistance determination of the decorated triangular and honeycomb lattices

被引:4
|
作者
Owaidat, M. Q. [1 ]
Asad, J. H. [2 ]
机构
[1] Al Hussein Bin Talal Univ, Dept Phys, POB 20, Maan 71111, Jordan
[2] Palestine Tech Univ, Coll Sci, Dept Phys, POB 7, Tulkarm, Palestine
关键词
Green's function; Decorated triangular lattice; Decorated honeycomb lattice; Asymptotic behavior; SIMPLE CUBIC NETWORK; INFINITE; IMPEDANCE; COBWEB; SQUARE;
D O I
10.1007/s12648-020-01797-1
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
By employing the lattice Green's function method, we study the resistance between any two lattice sites of infinite, decorated triangular and honeycomb (hexagonal) lattices of identical resistors. In addition, we expressed the resistance for these lattices in terms of the one for the triangular lattice. Finally, we obtained the asymptotic behaviors of the resistance for large separations between lattice sites.
引用
收藏
页码:1381 / 1390
页数:10
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