Electronic Resource
Springer
The European physical journal
85 (1991), S. 117-121
ISSN:
1434-6036
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01387796
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