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Anomalous Kinetics of Depletion Zone Growth with One-Dimensional Geometry: Photobleaching Experiments and Simulations

Published online by Cambridge University Press:  01 February 2011

Hailin Peng ,
Sung Hyun Park ,
Haim Taitelbaum  and
Raoul Kopelman
Hailin Peng
Affiliation:
Department of Chemistry, University of Michigan, Ann Arbor, MI 48109
Sung Hyun Park
Affiliation:
Department of Chemistry, University of Michigan, Ann Arbor, MI 48109
Haim Taitelbaum
Affiliation:
Department of Physics, Bar-Ilan University, Ramat-Gan 52900, Israel
Raoul Kopelman
Affiliation:
Department of Chemistry, University of Michigan, Ann Arbor, MI 48109
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Abstract

We studied the kinetics of a diffusion-limited trapping reaction A + T → T in an effective one-dimensional geometry by experiments, supported by simulation calculations. The experiments are based on the photobleaching reaction of fluorescein dyes. The main parameter of interest is the θ-distance, which is related to the expansion of the depletion zone and can be measured directly from experiment. We found that θ-distance scales with t1/2 asymptotically, as predicted by previous theory. In addition, we found that the θ-distance increases faster than t1/2 inside the trap at early times, which has not been explored previously. Furthermore, there is a third, intermediate regime, with a slow increase of slope. Our experimental results are consistent with our simulation results.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 790: Symposium P – Dynamics in Small Confining Systems–2003 , 2003 , P7.15
Copyright
Copyright © Materials Research Society 2004

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References

REFERENCES

1. Zumofen, G., Klafter, J. and Blumen, A., J. Chem. Phys. 79, 5131–5135 (1983).Google Scholar
2. Kopelman, R., Science 241, 1620–1626 (1988).Google Scholar
3. Taitelbaum, H., Koza, Z., Physica A 285, 166–175 (2000)Google Scholar
4. Havlin, S., Larralde, H., Kopelman, R. and Weiss, G. H., Physica A 169, 337–341 (1990).Google Scholar
5. Park, S. H., Peng, H., Parus, S., Taitelbaum, H. and Kopelman, R., J. Phys. Chem. A 106, 7596–7592 (2002)Google Scholar