TY - JOUR
T1 - Scaling behaviour for excitation trapping on fractals
AU - Zumofen, G.
AU - Blument, A.
AU - Klafter, J.
PY - 1984/6/21
Y1 - 1984/6/21
N2 - We study the decay behaviour of a nearest-neighbour random walker which gets trapped at the first encounter of a sink. As underlying structures they consider fractals (Sierpinski gaskets) and regular lattices and establish the scaling behaviour of the decay law with respect to x=-nd2/ln(1-p), where n is the number of steps, p the sink concentration and d the spectral dimension. The decay scales well for x large. For small x, scaling is reasonable for the gaskets and the linear chain, and rather poor for the square lattice.
AB - We study the decay behaviour of a nearest-neighbour random walker which gets trapped at the first encounter of a sink. As underlying structures they consider fractals (Sierpinski gaskets) and regular lattices and establish the scaling behaviour of the decay law with respect to x=-nd2/ln(1-p), where n is the number of steps, p the sink concentration and d the spectral dimension. The decay scales well for x large. For small x, scaling is reasonable for the gaskets and the linear chain, and rather poor for the square lattice.
UR - http://www.scopus.com/inward/record.url?scp=0009309079&partnerID=8YFLogxK
U2 - 10.1088/0305-4470/17/9/005
DO - 10.1088/0305-4470/17/9/005
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AN - SCOPUS:0009309079
SN - 0305-4470
VL - 17
SP - L479-L485
JO - Journal of Physics A: Mathematical and General
JF - Journal of Physics A: Mathematical and General
IS - 9
ER -