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arXiv · 1610.04801

Random walks with fractally correlated traps: Stretched exponential and power law survival kinetics

Dan Plyukhin·Alex V. Plyukhin
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Abstract

We consider the survival probability $f(t)$ of a random walk with a constant hopping rate $w$ on a host lattice of fractal dimension $d$ and spectral dimension $d_s\le 2$, with spatially correlated traps. The traps form a sublattice with fractal dimension $d_a w$, including the limit of perfect traps $w_a\to \infty$, the stretched exponential regime is absent and the decay of $f(t)$ follows, after a short transient, the aforementioned power law for all times.

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BibTeXRIS

Dan Plyukhin, Alex V. Plyukhin. 2016-10-16. Random walks with fractally correlated traps: Stretched exponential and power law survival kinetics. https://doi.org/10.1103/physreve.94.042132

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