We study diffusion on topologically linear fractal structures under the influence of a uniform external field. Due to the fractal nature of the chain, the uniform field acts on a random walker like random correlated (local) fields in a one-dimensional chain. We find that the mean square displacement of the walker is universal and depends logarithmically on time t as ⟨r2⟩∼ln2t, independent of the fractal dimension of the chain. © 1988 IOP Publishing Ltd.
Roman, H., Schwartz, M., Bunde, A., Havlin, S. (1988). Biased diffusion in chainlike fractal structures: Universal behaviour. EUROPHYSICS LETTERS, 7(5), 389-393 [10.1209/0295-5075/7/5/002].
Biased diffusion in chainlike fractal structures: Universal behaviour
Roman H. E.;
1988
Abstract
We study diffusion on topologically linear fractal structures under the influence of a uniform external field. Due to the fractal nature of the chain, the uniform field acts on a random walker like random correlated (local) fields in a one-dimensional chain. We find that the mean square displacement of the walker is universal and depends logarithmically on time t as ⟨r2⟩∼ln2t, independent of the fractal dimension of the chain. © 1988 IOP Publishing Ltd.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
