Note to users. If you're seeing this message, it means that your browser cannot find this page's style/presentation instructions -- or possibly that you are using a browser that does not support current Web standards. Find out more about why this message is appearing, and what you can do to make your experience of our site the best it can be.
Science Policy Alerts

Site Tools

  • AAAS
  • Subscribe
  • Feedback

Site Search

Search Advanced

Science 23 September 1988:
Vol. 241. no. 4873, pp. 1620 - 1626
DOI: 10.1126/science.241.4873.1620
Prev | Table of Contents | Next

Articles

Fractal Reaction Kinetics

Raoul Kopelman 1

1 Department of Chemistry, University of Michigan, Ann Arbor, MI 48109

Classical reaction kinetics has been found to be unsatisfactory when the reactants are spatially constrained on the microscopic level by either walls, phase boundaries, or force fields. Recently discovered theories of heterogeneous reaction kinetics have dramatic consequences, such as fractal orders for elementary reactions, self-ordering and self-unmixing of reactants, and rate coefficients with temporal "memories." The new theories were needed to explain the results of experiments and supercomputer simulations of reactions that were confined to low dimensions or fractal dimensions or both. Among the practical examples of "fractal-like kinetics" are chemical reactions in pores of membranes, excitation trapping in molecular aggregates, exciton fusion in composite materials, and charge recombination in colloids and clouds.


THIS ARTICLE HAS BEEN CITED BY OTHER ARTICLES:
Modelling and simulation techniques for membrane biology.
K. Burrage, J. Hancock, A. Leier, and D. V. Nicolau Jr (2007)
Brief Bioinform
   Abstract »    Full Text »    PDF »
Michaelis-Menten Kinetics under Spatially Constrained Conditions: Application to Mibefradil Pharmacokinetics.
K. Kosmidis, V. Karalis, P. Argyrakis, and P. Macheras (2004)
Biophys. J. 87, 1498-1506
   Abstract »    Full Text »    PDF »
Description of the Convective Air-Drying of a Food Model by Means of the Fractal Theory.
P. J.J. Chanona, B. L. Alamilla, R. R.R. Farrera, R. Quevedo, J. M. Aguilera, and L. G.F. Gutierrez (2003)
Food Science and Technology International 9, 207-213
   Abstract »    PDF »
Monte Carlo Simulations of Enzyme Reactions in Two Dimensions: Fractal Kinetics and Spatial Segregation.
H. Berry (2002)
Biophys. J. 83, 1891-1901
   Abstract »    Full Text »    PDF »
Submicrometer intracellular chemical optical fiber sensors.
W Tan, Z. Shi, S Smith, D Birnbaum, and R Kopelman (1992)
Science 258, 778-781
   Abstract »    PDF »
Chemical and biological microstructures as probed by dynamic processes.
J. Drake, J Klafter, and P Levitz (1991)
Science 251, 1574-1579
   Abstract »    PDF »
A Light Source Smaller Than the Optical Wavelength.
K. Lieberman, S. Harush, A. Lewis, and R. Kopelman (1990)
Science 247, 59-61
   Abstract »    PDF »


ADVERTISEMENT
Click Me!

To Advertise     Find Products

Science. ISSN 0036-8075 (print), 1095-9203 (online)