TY - JOUR
T1 - Mean first-passage time on loopless aggregates
AU - Matan, Ofer
AU - Havlin, Shlomo
PY - 1989
Y1 - 1989
N2 - We study the mean first-passage time (MFPT) for random walks on the backbone of loopless aggregates. We derive an exact expression for the MFPT on a general aggregate model. The exact MFPT for several deterministic and random disordered structures is calculated. We find that, in general, the exponent (1) describing the asymptotic dependence of the MFPT on the linear size of the system for diffusion is (1)=1+df, where df is the fractal dimension of the aggregate.
AB - We study the mean first-passage time (MFPT) for random walks on the backbone of loopless aggregates. We derive an exact expression for the MFPT on a general aggregate model. The exact MFPT for several deterministic and random disordered structures is calculated. We find that, in general, the exponent (1) describing the asymptotic dependence of the MFPT on the linear size of the system for diffusion is (1)=1+df, where df is the fractal dimension of the aggregate.
UR - https://www.scopus.com/pages/publications/4243467262
U2 - 10.1103/physreva.40.6573
DO - 10.1103/physreva.40.6573
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AN - SCOPUS:4243467262
SN - 1050-2947
VL - 40
SP - 6573
EP - 6579
JO - Physical Review A - Atomic, Molecular, and Optical Physics
JF - Physical Review A - Atomic, Molecular, and Optical Physics
IS - 11
ER -