TY - JOUR
T1 - Random walks on ultrametric spaces
T2 - Low temperature patterns
AU - Blumen, A.
AU - Zumofen, G.
AU - Klafter, J.
PY - 1986/10/1
Y1 - 1986/10/1
N2 - We present the numerically determined distribution of the number of sites visited by thermally activated walkers on ultrametric spaces, which mimic the energetic disorder found in amorphous materials. At high temperatures the results resemble those found for Sierpinski-type fractals. At low temperatures, the distributions are highly structured, showing discontinuities which increase with the number of steps, in contrast to an intuitive picture that would lead to smoothing. We apply the results to the energy transfer in disordered systems and study the decay due to trapping.
AB - We present the numerically determined distribution of the number of sites visited by thermally activated walkers on ultrametric spaces, which mimic the energetic disorder found in amorphous materials. At high temperatures the results resemble those found for Sierpinski-type fractals. At low temperatures, the distributions are highly structured, showing discontinuities which increase with the number of steps, in contrast to an intuitive picture that would lead to smoothing. We apply the results to the energy transfer in disordered systems and study the decay due to trapping.
UR - http://www.scopus.com/inward/record.url?scp=0001620853&partnerID=8YFLogxK
U2 - 10.1088/0305-4470/19/14/007
DO - 10.1088/0305-4470/19/14/007
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AN - SCOPUS:0001620853
SN - 0305-4470
VL - 19
SP - L861-L868
JO - Journal of Physics A: Mathematical and General
JF - Journal of Physics A: Mathematical and General
IS - 14
ER -