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

Jack Carr, Robert L. Pego

Research output: Contribution to journalArticle

Abstract

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
Volume456
Issue number1997
Publication statusPublished - 2000

Fingerprint

Coarsening
Self-similarity
Resources
Self-similar Solutions
Redistribution
General Solution
Model
Evolution Equation
Limiting

Keywords

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

Cite this

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Self-similarity in a cut-and-paste model of coarsening. / Carr, Jack; Pego, Robert L.

In: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 456, No. 1997, 2000, p. 1281-1290.

Research output: Contribution to journalArticle

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