Physics – General Physics
Scientific paper
2009-04-02
Physics
General Physics
13 pages, 2 figures, 1 table
Scientific paper
The capacitance between arbitrary nodes in perfect infinite networks of identical capacitors is studied. We calculate the capacitance between the origin and the lattice site (l,m)for an infinite linear chain, and for an infinite square network consisting of identical capacitors using the lattice green's function. The asymptotic behavior of the capacitance for an infinite square lattice is investigated for large separation between the origin and the site (l,m). We point out the relation between the capacitance of the lattice and the van Hove singularity of the tight- binding Hamiltonian. This method can be applied to other types of lattice structures.
Asad J. H.
Hijjawi R. S.
Khalifeh J. M.
Sakaji A. J.
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