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Infinite network of identical capacitors by Green's Function
J.H. Asad, R.S. Hijjawi, , J.M. Khalifeh
Published in
2005
Volume: 19
   
Issue: 24
Pages: 3713 - 3721
Abstract
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 infinite 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 directly to other lattice structures. © World Scientific Publishing Company.
About the journal
JournalInternational Journal of Modern Physics B
ISSN2179792
Open AccessNo
Concepts (3)
  •  related image
    Capacitors
  •  related image
    Lattice green's function
  •  related image
    Perfect lattice