Diffusion on two-dimensional percolation clusters with multifractal jump probabilities

By means of Monte Carlo simulations we studied the properties of diffusion limited recombination reactions (DLRR's) and random walks on two dimensional incipient percolation clusters with multifractal jump probabilities. We claim that, for these kind of geometric and energetic heterogeneous sub...

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Detalles Bibliográficos
Autores principales: Mártin, Héctor Omar, Albano, Ezequiel Vicente
Formato: Articulo
Lenguaje:Inglés
Publicado: 1990
Materias:
Química
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/147280
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-147280
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Química
spellingShingle Química
Mártin, Héctor Omar
Albano, Ezequiel Vicente
Diffusion on two-dimensional percolation clusters with multifractal jump probabilities
topic_facet Química
description By means of Monte Carlo simulations we studied the properties of diffusion limited recombination reactions (DLRR's) and random walks on two dimensional incipient percolation clusters with multifractal jump probabilities. We claim that, for these kind of geometric and energetic heterogeneous substrata, the long time behavior of the particle density in a DLRR is determined by a random walk exponent. It is also suggested that the exploration of a random walk is compact. It is considered a general case of intersection in d euclidean dimension of a random fractal of dimension DF and a multifractal distribution of probabilities of dimensions Dq (q real), where the two dimensional incipient percolation clusters with multifractal jump probabilities are particular examples. We argue that the object formed by this intersection is a multifractal of dimensions D'q = Dq + DF--d, for a finite interval of q.
format Articulo
Articulo
author Mártin, Héctor Omar
Albano, Ezequiel Vicente
author_facet Mártin, Héctor Omar
Albano, Ezequiel Vicente
author_sort Mártin, Héctor Omar
title Diffusion on two-dimensional percolation clusters with multifractal jump probabilities
title_short Diffusion on two-dimensional percolation clusters with multifractal jump probabilities
title_full Diffusion on two-dimensional percolation clusters with multifractal jump probabilities
title_fullStr Diffusion on two-dimensional percolation clusters with multifractal jump probabilities
title_full_unstemmed Diffusion on two-dimensional percolation clusters with multifractal jump probabilities
title_sort diffusion on two-dimensional percolation clusters with multifractal jump probabilities
publishDate 1990
url http://sedici.unlp.edu.ar/handle/10915/147280
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bdutipo_str Repositorios
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