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Replica-trick approach to percolation networks with central and bond-bending forces

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  • Böttger, H.
  • Damker, T.
  • Freyberg, A.

Abstract

For the first time, a self-consistent effective medium is set up for central-force percolation networks with bond-bending forces, which do not allow the standard technique, the HCPA, to be used. By means of the replica trick, for two-dimensional bond-dilute triangular lattices with central and bond-bending forces, an effective lattice potential with complex, frequency dependent force constants is derived. The density of vibrational states is calculated and compared with corresponding results obtained by means of other methods.

Suggested Citation

  • Böttger, H. & Damker, T. & Freyberg, A., 1993. "Replica-trick approach to percolation networks with central and bond-bending forces," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 199(2), pages 219-231.
    • Handle: RePEc:eee:phsmap:v:199:y:1993:i:2:p:219-231
    DOI: 10.1016/0378-4371(93)90003-M
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    1. Marc Hallin & Annie Laforet & Guy Melard, 1990. "Distribution-free tests against serial dependence: signed or unsigned ranks?," ULB Institutional Repository 2013/2023, ULB -- Universite Libre de Bruxelles.
    2. Wegener, Malcolm K., 1990. "Risk Analysis in Sugarcane Production," 1990 Conference (34th), February 13-15, 1990, Brisbane, Australia 145460, Australian Agricultural and Resource Economics Society.
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