Phys. Rev. Lett. 57, 727–730 (1986)

Kinetics of Coagulation with Fragmentation: Scaling Behavior and Fluctuations

Abstract

References

Citing Articles (122)

Page Images

Download: PDF (341 kB) Export: BibTeX or EndNote (RIS)

Fereydoon Family
Department of Chemistry, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
Department of Physics, Emory University, Atlanta, Georgia 30322

Paul Meakin
Central Research and Development Department, Experimental Station, E.I. du Pont de Nemours and Company, Inc., Wilmington, Delaware 19898

John M. Deutch
Department of Chemistry, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139

See Also: Erratum

Received 5 May 1986; published in the issue dated 11 August 1986

The standard coagulation process is generalized to include the effects of fragmentation and a scaling description for the cluster size distribution is developed. The Smoluchowski rate equation is used to calculate the critical exponents describing the steady-state size distribution. Predictions of the scaling and the rate equation are tested by numerical simulations. The mean-field rate-equation results are found to be valid in $d >~ 1$ implying that the upper critical dimension $d_{c}$ is less than 1.

URL:

http://link.aps.org/doi/10.1103/PhysRevLett.57.727

DOI:

10.1103/PhysRevLett.57.727

PACS:

64.60.-i, 05.40.+j, 05.70.Ln, 82.70.-y

Use of the American Physical Society websites and journals implies that the user has read and agrees to our Terms and Conditions and any applicable Subscription Agreement. Physical Review®, Physical Review Letters®, Reviews of Modern Physics®, and Physical Review Special Topics® are trademarks of the American Physical Society.

Citation Search:

Phys. Rev. Lett. 57, 727–730 (1986)

Kinetics of Coagulation with Fragmentation: Scaling Behavior and Fluctuations

See Also