Asymptotic behavior of solutions to the coagulation-fragmentation equations. II. Weak fragmentation

J. Carr, F. P. da Costa

Research output: Contribution to journalArticle

Abstract

The discrete coagulation-fragmentation equations are a model for the kinetics of cluster growth in which clusters can coagulate via binary interactions to form larger clusters or fragment to form smaller ones. The assumptions made on the fragmentation coefficients have the physical interpretation that surface effects are important. Our results on the asymptotic behavior of solutions generalize the corresponding results of Ball, Carr, and Penrose for the Becker-Doring equation. © 1994 Plenum Publishing Corporation.

Original languageEnglish
Pages (from-to)89-123
Number of pages35
JournalJournal of Statistical Physics
Volume77
Issue number1-2
DOIs
Publication statusPublished - Oct 1994

Fingerprint

Coagulation
Asymptotic Behavior of Solutions
Fragmentation
Surface Effects
Fragment
Ball
Kinetics
Binary
Generalise
Coefficient
Interaction
Model

Keywords

  • asymptotic behavior
  • Clustering
  • coagulation
  • fragmentation
  • phase transition

Cite this

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abstract = "The discrete coagulation-fragmentation equations are a model for the kinetics of cluster growth in which clusters can coagulate via binary interactions to form larger clusters or fragment to form smaller ones. The assumptions made on the fragmentation coefficients have the physical interpretation that surface effects are important. Our results on the asymptotic behavior of solutions generalize the corresponding results of Ball, Carr, and Penrose for the Becker-Doring equation. {\circledC} 1994 Plenum Publishing Corporation.",
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Asymptotic behavior of solutions to the coagulation-fragmentation equations. II. Weak fragmentation. / Carr, J.; da Costa, F. P.

In: Journal of Statistical Physics, Vol. 77, No. 1-2, 10.1994, p. 89-123.

Research output: Contribution to journalArticle

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AB - The discrete coagulation-fragmentation equations are a model for the kinetics of cluster growth in which clusters can coagulate via binary interactions to form larger clusters or fragment to form smaller ones. The assumptions made on the fragmentation coefficients have the physical interpretation that surface effects are important. Our results on the asymptotic behavior of solutions generalize the corresponding results of Ball, Carr, and Penrose for the Becker-Doring equation. © 1994 Plenum Publishing Corporation.

KW - asymptotic behavior

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KW - coagulation

KW - fragmentation

KW - phase transition

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