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

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.letter???

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 -