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- W2000841181 abstract "The random motion for an arbitrary number of particles is numerically studied on a finitely ramified Sierp'{i}nski gasket with the restriction that no two particles can occupy the same site. We find that the long time behavior of a ``tagged particle'' in the presence of others is the same as that of a noninteracting one, i.e., 〈${mathit{r}}^{2}$(t)〉ensuremath{sim}${mathit{t}}_{mathit{w}}^{2/mathit{d}}$, where ${mathit{d}}_{mathit{w}}$=2.322 is the fractal dimensionality of the path of a single random walker in the gasket. This is contrary to the results for a one-dimensional (1D) chain where the presence of the interaction markedly alters the motion of the walkers. However, the collective displacement for all the particles undergoes normal diffusion, as on a 1D chain, with a characteristic length 〈ensuremath{Vert}ensuremath{Delta}R${mathrm{ensuremath{Vert}}}^{2}$〉ensuremath{sim}1-ensuremath{rho}, where ensuremath{rho} is the density of particles per site. We have shown that this should be true in general for all random walks in regular and self-similar fractal lattices." @default.
- W2000841181 created "2016-06-24" @default.
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- W2000841181 date "1994-06-01" @default.
- W2000841181 modified "2023-09-25" @default.
- W2000841181 title "Random walk for interacting particles on a Sierpínski gasket" @default.
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- W2000841181 doi "https://doi.org/10.1103/physreve.49.4946" @default.
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