Hostname: page-component-77c89778f8-swr86 Total loading time: 0 Render date: 2024-07-18T20:37:09.449Z Has data issue: false hasContentIssue false

Experimental Chemical Kinetics of an A+B→0 System Showing Non-Classical Effects of Initial Reactant Distribution

Published online by Cambridge University Press:  10 February 2011

Eric Monson
Affiliation:
Departments of Chemistry, Physics and Applied Physics University of Michigan, Ann Arbor, MI 48109-1055, USA.
Raoul Kopelman
Affiliation:
Departments of Chemistry, Physics and Applied Physics University of Michigan, Ann Arbor, MI 48109-1055, USA.
Get access

Abstract

We demonstrate here the implementation of an experimental system suitable for the study of the diffusion-limited A+B→0, non-classical reaction behavior. Using a combination of a fluorescent calcium indicator and a calcium ion which is initially “caged”, a pulse of near-UV light initiates the reaction which is followed as product formation vs. time. Sensitive dependence on the initial reactant distribution is observed through patterns in the uncaging UV light profile. The reaction progress passes through two non-classical time regimes, one due to roughness originating from laser speckles, followed by one exhibiting the three-dimensional Zeldovich rate of (1/ρA − 1/ρA0) ˜ t3/4, with features matching Monte Carlo simulations on this initial distribution.

Type
Research Article
Copyright
Copyright © Materials Research Society 1999

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Ovchinnikov, A. A. and Zeldovich, Y. B., Chem. Phys. 28, 215218 (1978).Google Scholar
2. Toussaint, D. and Wilczek, F., J. Chem. Phys. 78, 26422647 (1983).Google Scholar
3. Golubkov, M. G., Prostnev, A. S., and Shub, B. R., Chem. Phys. 184, 171176 (1994).Google Scholar
4. Bramson, M. and Lebowitz, J. L., J. Stat. Phys. 62, 297372 (1991).Google Scholar
5. Kang, K. and Redner, S., Phys. Rev. Lett. 52, 955958 (1984).Google Scholar
6. Kang, K. and Redner, S., Phys. Rev. A 32, 435447 (1985).Google Scholar
7. Argyrakis, P., Kopelman, R., and Lindenberg, K., Chem. Phys. 177, 693707 (1993).Google Scholar
8. Argyrakis, P. and Kopelman, R., Phys. Rev. A 45, 58145819 (1992).Google Scholar
9. Lindenberg, K., Romero, A. H., and Sancho, J. M., Int. J. Bifurcation Chaos 8, 853868 (1998).Google Scholar
10. Lindenberg, K., Argyrakis, P., and Kopelman, R., in Noise and Order: The New Synthesis, edited by M., Millonas (Springer, New York, 1996), p. 171203.Google Scholar
11. Galfi, L. and Racz, Z., Phys. Rev. A 38, 31513154 (1988).Google Scholar
12. Escobar, A. L., Velez, P., Kim, A. M., Cifuentes, F., Fill, M., and Vergara, J. L., Pflugers Arch. 434, 615631 (1997).Google Scholar
13. Ellis-Davies, G. C. R., Kaplan, J. H., and Barsotti, R. J., Biophys. J. 70, 10061016 (1996).Google Scholar
14. Kaplan, J. H. and Ellis-Davies, G. C. R., Biophys. J. 53, A36–A36 (1988).Google Scholar
15. Probes, M., “Long-Wavelength Calcium Indicators: Calcium Green™, Oregon Green™ 488 BAPTA, Calcium Orange ™, Calcium Crimson™,” Report No. MP 3010 (1996).Google Scholar
16. Eberhard, M. and Erne, P., Biochem. Biophys. Res. Commun. 180, 209215 (1991).Google Scholar
17. Tsien, R. Y., Biochem. 19,23962404 (1980).Google Scholar
18. Bers, D. M. and Harrison, S. M., J. Physiol.-London 386, P58–P58 (1987).Google Scholar
19. Harrison, S. M. and Bers, D. M., 925, 133143 (1987).Google Scholar
20. Periasamy, N., Bicknese, S., and Verkman, A. S., Biophys. J. 70, MP345–MP345 (1996).Google Scholar
21. Stout, A. L. and Axelrod, D., Photochem. Photobiol. 62, 239244 (1995).Google Scholar
22. Johnson, G. D., Davidson, R. S., McNamee, K. C., Russell, G., Goodwin, D., and Holborow, E. J., J. Immunol. Meth. 55, 231242 (1982).Google Scholar
23. Johnson, G. D. and Araujo, G. M. d. C. Nogueira, J. Immunol. Meth. 43, 349350 (1981).Google Scholar
24. Valnes, K. and Brandtzaeg, P., J. Histochem. Cytochem. 33, 755761 (1985).Google Scholar
25. Argyrakis, P., Comput. Phys. 6, 525 (1992).Google Scholar
26. Lin, A. L., Monson, E., and Kopelman, R., Phys. Rev. E 56, 15611566 (1997).Google Scholar
27. Fujii, H., Uozumi, J., and Asakura, T., J. Opt. Soc. Am. 66, 12221236 (1976).Google Scholar