TY - JOUR
T1 - Diffusion on percolation clusters with a bias in topological space
T2 - Non-universal behaviour
AU - Havlin, S.
AU - Bunde, A.
AU - Stanley, H. E.
AU - Movshovitz, D.
PY - 1986
Y1 - 1986
N2 - The authors study diffusion on the infinite percolation clusters above the percolation threshold, p>pc, under the influence of a constant bias field E in topological space ('topological bias'). They find that above a critical bias field Ec(p) diffusion is anomalous and non-universal: the diffusion exponent dwl increases with E as d wl=A(p) mod ln((1-E)/(1+E)) mod , while A(p) decreases monotonically with concentration p. This intrinsic anomalous behaviour is supported in a wide range of concentrations p>pc by extensive numerical simulations using the exact enumeration method.
AB - The authors study diffusion on the infinite percolation clusters above the percolation threshold, p>pc, under the influence of a constant bias field E in topological space ('topological bias'). They find that above a critical bias field Ec(p) diffusion is anomalous and non-universal: the diffusion exponent dwl increases with E as d wl=A(p) mod ln((1-E)/(1+E)) mod , while A(p) decreases monotonically with concentration p. This intrinsic anomalous behaviour is supported in a wide range of concentrations p>pc by extensive numerical simulations using the exact enumeration method.
UR - http://www.scopus.com/inward/record.url?scp=34547434948&partnerID=8YFLogxK
U2 - 10.1088/0305-4470/19/11/008
DO - 10.1088/0305-4470/19/11/008
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AN - SCOPUS:34547434948
SN - 0305-4470
VL - 19
SP - L693-L698
JO - Journal of Physics A: Mathematical and General
JF - Journal of Physics A: Mathematical and General
IS - 11
M1 - 008
ER -