Abstract
The evolution of a particle undergoing a continuous-time random walk in the presence of randomly placed imperfectly absorbing traps is studied. At long times, the spatial probability distribution becomes strongly localized in a sequence of trap-free regions. The subsequent intermittent transfer of the survival probability from small trap-free regions to larger trap-free regions is described as a time-directed variable range hopping among localized eigenstates in the Lifshitz tail. An asymptotic expression for the configurational average of the spatial distribution of surviving particles is obtained based on this description. The distribution is an exponential function of distance which expands superdiffusively, with the mean-square displacement increasing with time as t2/ln(2D+4/D)(t) in D dimensions.
Recommended Citation
D. H. Dunlap et al., "The Spatial Evolution of Particles Diffusing in the Presence of Randomly Placed Traps," Journal of Chemical Physics, vol. 100, no. 11, pp. 8293 - 8300, American Institute of Physics (AIP), Feb 1994.
The definitive version is available at https://doi.org/10.1063/1.467261
Department(s)
Physics
International Standard Serial Number (ISSN)
0021-9606
Document Type
Article - Journal
Document Version
Final Version
File Type
text
Language(s)
English
Rights
© 1994 American Institute of Physics (AIP), All rights reserved.
Publication Date
01 Feb 1994
