TY - JOUR
T1 - Probability density of the 2d percolation cluster perimeter
AU - Gouyet, J. F.
AU - Havlin, S.
PY - 1988/4/21
Y1 - 1988/4/21
N2 - We study the form of the probability density P(r, f) of the end-to-end distance r of a segment of length f of the perimeter of the ZD percolation cluster at criticality. We find that P(r, 1) behaves as P(r, t) ∝ t−2/dHexp, where. The exponent dH=7/4 is the fractal dimension of the hull (the external perimeter of a percolation cluster). Thisresult fits very well with recent numerical data.
AB - We study the form of the probability density P(r, f) of the end-to-end distance r of a segment of length f of the perimeter of the ZD percolation cluster at criticality. We find that P(r, 1) behaves as P(r, t) ∝ t−2/dHexp, where. The exponent dH=7/4 is the fractal dimension of the hull (the external perimeter of a percolation cluster). Thisresult fits very well with recent numerical data.
UR - http://www.scopus.com/inward/record.url?scp=33645054981&partnerID=8YFLogxK
U2 - 10.1088/0305-4470/21/8/029
DO - 10.1088/0305-4470/21/8/029
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AN - SCOPUS:33645054981
SN - 0305-4470
VL - 21
SP - 1921
EP - 1923
JO - Journal of Physics A: Mathematical and General
JF - Journal of Physics A: Mathematical and General
IS - 8
ER -