REPLICA-TRICK APPROACH TO PERCOLATION NETWORKS WITH CENTRAL AND BOND-BENDING FORCES

Citation
H. Bottger et al., REPLICA-TRICK APPROACH TO PERCOLATION NETWORKS WITH CENTRAL AND BOND-BENDING FORCES, Physica. A, 199(2), 1993, pp. 219-231
Citations number
28
Categorie Soggetti
Physics
Journal title
ISSN journal
03784371
Volume
199
Issue
2
Year of publication
1993
Pages
219 - 231
Database
ISI
SICI code
0378-4371(1993)199:2<219:RATPNW>2.0.ZU;2-7
Abstract
For the first time, a self-consistent effective medium is set up for c entral-force percolation networks with bond-bending forces, which do n ot allow the standard technique, the HCPA, to be used. By means of the replica trick. for two-dimensional bond-dilute triangular lattices wi th central and bond-bending forces, an effective lattice potential wit h complex, frequency dependent force constants is derived. The density of vibrational states is calculated and compared with corresponding r esults obtained by means of other methods.