TY - JOUR
T1 - Percolation theory of nonlinear circuit elements
AU - Kenkel, Stephen W.
AU - Straley, Joseph P.
PY - 1982
Y1 - 1982
N2 - Percolation theory is extended to the case of circuit elements with nonlinear I-V characteristics, particularly the special cases V=Ir, which form the universality classes. Near the percolation threshold the "conductance" IV1 vanishes like (p-pc)t, where t depends on and dimensionality. The Skal-Shklovskii-De Gennes model gives t=(d-1), where is only weakly dependent on and d, and approaches unity at d=6. Renormalization methods are used to study the dependence of t in two dimensions.
AB - Percolation theory is extended to the case of circuit elements with nonlinear I-V characteristics, particularly the special cases V=Ir, which form the universality classes. Near the percolation threshold the "conductance" IV1 vanishes like (p-pc)t, where t depends on and dimensionality. The Skal-Shklovskii-De Gennes model gives t=(d-1), where is only weakly dependent on and d, and approaches unity at d=6. Renormalization methods are used to study the dependence of t in two dimensions.
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U2 - 10.1103/PhysRevLett.49.767
DO - 10.1103/PhysRevLett.49.767
M3 - Article
AN - SCOPUS:4244188427
SN - 0031-9007
VL - 49
SP - 767
EP - 770
JO - Physical Review Letters
JF - Physical Review Letters
IS - 11
ER -