Self-similarity in a cut-and-paste model of coarsening

Jack Carr, Robert L. Pego

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


We study certain redistribution processes for a resource distributed among a large number of resource holders (clusters). In the processes we consider, the smallest clusters are cut up into pieces according to a given statistical law, and the pieces are randomly redistributed among the remaining clusters. We derive an evolution equation for the cluster size distribution, show that self-similar solutions exist and characterize their structure. In a limiting case when the pieces are small, we show that in general solutions approach a singular self-similar form. © 2000 The Royal Society.

Original languageEnglish
Pages (from-to)1281-1290
Number of pages10
JournalProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Issue number1997
Publication statusPublished - 2000


  • Coagulation
  • Coarsening
  • Scaling relation
  • Self-similar form


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