Hostname: page-component-7bb8b95d7b-495rp Total loading time: 0 Render date: 2024-09-18T22:39:03.726Z Has data issue: false hasContentIssue false
  • English
  • Français

Monte Carlo Studies of a Coupled ‘Elementary’ Reaction-Diffusion System in One Dimension

Published online by Cambridge University Press:  15 February 2011

Anna Lin  and
Raoul Kopelman
Anna Lin
Affiliation:
Department of Chemistry, University of Michigan, Ann Arbor, MI 48109
Raoul Kopelman
Affiliation:
Department of Chemistry, University of Michigan, Ann Arbor, MI 48109
Get access

Abstract

The anomalous rate laws of diffusion limited elementary reactions in low dimensions have garnered attention over the past decade as researchers have become aware that the mean field approximation utilized in traditional kinetic rate equations is not valid in low and fractal dimensions. We use Monte Carlo simulations to study a diffusion limited system simultaneously undergoing A+B-->0 and A+A--> 0 reactions, a common situation in photochemistry. We are studying how this coupled system affects the attenuation of local fluctuations and thus the rate laws of the system in low dimensions and how these results compare to the mean field rate laws. Our results give useful guidelines for studying this type of reaction system experimentally.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 366: Symposium N – Dynamics in Small Confining Systems , 1994 , 313
Copyright
Copyright © Materials Research Society 1995

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. Kopelman, R., Science 241, 1620–1626 (1988).Google Scholar
2. Ovchinnikov, A. A., Zeldovich, Y. B., Chemical Physics 28, 215–218 (1978).Google Scholar
3. Toussaint, D., Wilczek, F., J. Chem. Phys. 78, 2642 (1983).Google Scholar
4. Kang, K., Redner, S., Phys. Rev. Lett. 52, 955 (1984).Google Scholar
5. Clement, E., Sander, L. M., Kopelman, R., Physical Review A 39, 6455–6465 (1989).Google Scholar
6. Bramson, M., Lebowitz, J., J. Stat. Phys. 62, 297 (1991).Google Scholar
7. Schoonover, R., Ben-Avraham, D., Havlin, S., Kopelman, R., Weiss, H. G., Physica A 171, 232 (1991).Google Scholar
8. Argyrakis, P., Kopelman, R., Lindenberg, K., Chemical Physics 177, 693–707 (1993).Google Scholar
9. Lindenberg, K, Argyrakis, P., Kopelman, R., J. Phys. Chem. 98, 3389–3397 (1994).Google Scholar
10. Coxon, J. M., Halton, B., Organic Photochemistry. e. a. Ebsworkth., E., Ed., Cambridge Chemistry Texts (Cambridge University Press, 1974).Google Scholar
11. Argyrakis, P., Kopelman, R., J. Phys. Chem. 91, 2699–701 (1987).Google Scholar
12. Argyrakis, P., Kopelman, R., journal of physical chemistry 93, 225–229 (1989).Google Scholar
13. Argyrakis, P., Computers in Physics 6, 525–529 (1992).Google Scholar
14. Argyrakis, P., Kopelman, R., J. Phys. Chem. 93, 225 (1989).Google Scholar
15. Lianos, P., Argyrakis, P., J. Phys. Chem. 98, 7278–7283(1994).Google Scholar