Diffusion and annihilation of a particle on a disordered chain View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

1991-02

AUTHORS

Pedro A. Pury, Domingo P. Prato

ABSTRACT

We present an effective-medium approximation to a diffusion model of a particle in a one dimensional medium, that can be annihilated. This approximation is compared with results based on a multistate continuous-time random walk. The mean-square displacement and the annihilation rate in Laplace transformed form are computed in both schemes. We also analyse the small- and largetime asymptotic behavior of the effective hopping and annihilation probabilities per unit time. The effectivemedium approximation results are in full agreement with those of the multistate continuous-time random walk scheme only under a linear approximation of the square root that appears in the Green's function for a homogeneous medium. More... »

PAGES

117-121

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/bf01387796

DOI

http://dx.doi.org/10.1007/bf01387796

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1027787888


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