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Title: Effect of a slit-shaped trap on depletion kinetics within a microchannel

Abstract

The diffusion-limited trapping reaction kinetics of the growth of the depletion zone within and around a 'slit-shaped' trap in a flat microchannel was studied experimentally and numerically. In the experiment, an ellipse-shaped laser beam acted as a slit trap in a long, flat capillary, and the trapping reaction is photobleaching of fluorescein dye. The parameter studied was the {theta} distance, i.e., the distance from the trap to the point where the reactant concentration has been locally depleted to the specific survival fraction [{theta}] of its initial bulk value. When the trap is perfect, then, due to the geometry of the trap and the reactor, as many as three time regimes can be found, with up to two crossover transitions. The number of crossovers is determined by the relative sizes of the trap and the microreactor. In the case of two crossovers, we show that the first crossover relates to the length of the trap, while the second crossover relates to the width of the reactor. When the slit trap is imperfect and its width cannot be neglected, as is the case in the experiments, a nontrivial early behavior is observed, followed by two regions in time, separated by a singlemore » crossover only.« less

Authors:
; ;  [1];  [1];  [2];  [3]
  1. Department of Chemistry, University of Michigan, Ann Arbor, Michigan 48109-1055 (United States)
  2. (Greece)
  3. Department of Physics, Bar-Ilan University, Ramat-Gan 52900 (Israel)
Publication Date:
OSTI Identifier:
20779236
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; Journal Volume: 73; Journal Issue: 4; Other Information: DOI: 10.1103/PhysRevE.73.041104; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ABSORPTION; CAPILLARIES; DIFFUSION; FLUORESCEIN; GEOMETRY; LASERS; PHOTOCHEMISTRY; REACTION KINETICS; SURVIVAL CURVES; TRAPPING; TRAPS; ZONES

Citation Formats

Park, Sung Hyun, Peng, Hailin, Kopelman, Raoul, Argyrakis, Panos, Department of Physics, University of Thessaloniki, 54124 Thessaloniki, and Taitelbaum, Haim. Effect of a slit-shaped trap on depletion kinetics within a microchannel. United States: N. p., 2006. Web. doi:10.1103/PHYSREVE.73.0.
Park, Sung Hyun, Peng, Hailin, Kopelman, Raoul, Argyrakis, Panos, Department of Physics, University of Thessaloniki, 54124 Thessaloniki, & Taitelbaum, Haim. Effect of a slit-shaped trap on depletion kinetics within a microchannel. United States. doi:10.1103/PHYSREVE.73.0.
Park, Sung Hyun, Peng, Hailin, Kopelman, Raoul, Argyrakis, Panos, Department of Physics, University of Thessaloniki, 54124 Thessaloniki, and Taitelbaum, Haim. Sat . "Effect of a slit-shaped trap on depletion kinetics within a microchannel". United States. doi:10.1103/PHYSREVE.73.0.
@article{osti_20779236,
title = {Effect of a slit-shaped trap on depletion kinetics within a microchannel},
author = {Park, Sung Hyun and Peng, Hailin and Kopelman, Raoul and Argyrakis, Panos and Department of Physics, University of Thessaloniki, 54124 Thessaloniki and Taitelbaum, Haim},
abstractNote = {The diffusion-limited trapping reaction kinetics of the growth of the depletion zone within and around a 'slit-shaped' trap in a flat microchannel was studied experimentally and numerically. In the experiment, an ellipse-shaped laser beam acted as a slit trap in a long, flat capillary, and the trapping reaction is photobleaching of fluorescein dye. The parameter studied was the {theta} distance, i.e., the distance from the trap to the point where the reactant concentration has been locally depleted to the specific survival fraction [{theta}] of its initial bulk value. When the trap is perfect, then, due to the geometry of the trap and the reactor, as many as three time regimes can be found, with up to two crossover transitions. The number of crossovers is determined by the relative sizes of the trap and the microreactor. In the case of two crossovers, we show that the first crossover relates to the length of the trap, while the second crossover relates to the width of the reactor. When the slit trap is imperfect and its width cannot be neglected, as is the case in the experiments, a nontrivial early behavior is observed, followed by two regions in time, separated by a single crossover only.},
doi = {10.1103/PHYSREVE.73.0},
journal = {Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics},
number = 4,
volume = 73,
place = {United States},
year = {Sat Apr 15 00:00:00 EDT 2006},
month = {Sat Apr 15 00:00:00 EDT 2006}
}