Dimensional crossover in the growth of depletion zone in a rectangular capillary: Experiments and Monte Carlo simulations

@inproceedings{citeulike:1507171, abstract = {The diffusion-limited kinetics of the growth of depletion zone around a static point trap in a thin, long stripe geometry was studied using a laser photobleaching experiment of fluorescein dye inside a rectangular capillary. The dynamics of the depletion zone was monitored by the ?distance, defined as the distance from the trap to the point where the reactant concentration has been depleted to the specific fraction of its initial bulk value. A dimensional crossover from two dimensions to one dimension, due to the finite width of the reaction zone, was observed. The crossover seems to occur for all ? values concurrently when the depletion zone touches the boundary for the first time, suggesting that the boundary information spreads faster than diffusion. Monte Carlo simulations were performed to support the experimental results. The crossover time (?c) is found to scale with the width (L) of the rectangular reaction zone as ?c ? L2, as expected from the Einstein's diffusion law. Sponsors: Materials Research Society}, address = {Department of Physics, Bar-Ilan University, Ramat-Gan 52900, Israel}, author = {Park, S. H. and Peng, H. and Argyrakis, P. and Taitelbaum, H. and Kopelman, R. and Fourkas, J. T. and Levitz, P. and Urbakh, M. and Wahl, K. J. }, citeulike-article-id = {1507171}, journal = {Mater Res Soc Symp Proc}, pages = {257--262}, posted-at = {2007-07-27 14:54:49}, priority = {2}, series = {Dynamics in Small Confining Systems - 2003}, title = {Dimensional crossover in the growth of depletion zone in a rectangular capillary: Experiments and Monte Carlo simulations}, url = {http://www.scopus.com/scopus/record/display.url?view=extended\&origin=resultslist\&eid=2-s2.0-2942709734}, volume = {790} }

TY - CONF ID - citeulike:1507171 L3 - citeulike-article-id:1507171 TI - Dimensional crossover in the growth of depletion zone in a rectangular capillary: Experiments and Monte Carlo simulations SE - Dynamics in Small Confining Systems - 2003 JF - Mater Res Soc Symp Proc VL - 790 SP - 257 EP - 262 AD - Department of Physics, Bar-Ilan University, Ramat-Gan 52900, Israel N2 - The diffusion-limited kinetics of the growth of depletion zone around a static point trap in a thin, long stripe geometry was studied using a laser photobleaching experiment of fluorescein dye inside a rectangular capillary. The dynamics of the depletion zone was monitored by the ?distance, defined as the distance from the trap to the point where the reactant concentration has been depleted to the specific fraction of its initial bulk value. A dimensional crossover from two dimensions to one dimension, due to the finite width of the reaction zone, was observed. The crossover seems to occur for all ? values concurrently when the depletion zone touches the boundary for the first time, suggesting that the boundary information spreads faster than diffusion. Monte Carlo simulations were performed to support the experimental results. The crossover time (?c) is found to scale with the width (L) of the rectangular reaction zone as ?c ? L2, as expected from the Einstein's diffusion law. Sponsors: Materials Research Society AU - Park, SH AU - Peng, H AU - Argyrakis, P AU - Taitelbaum, H AU - Kopelman, R AU - Fourkas, JT AU - Levitz, P AU - Urbakh, M AU - Wahl, KJ UR - http://www.scopus.com/scopus/record/display.url?view=extended&origin=resultslist&eid=2-s2.0-2942709734 ER -