Mean first-passage time on loopless aggregates (original) (raw)
Physical Review a General Physics, 1989
Abstract
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 τ(1) describing the asymptotic dependence of the MFPT on the linear size of the system for diffusion is τ(1)=1+df, where df is the fractal dimension of the aggregate.
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