Remarks on scaling a model of Witten-Sander type

Research output: Contribution to journalArticle

Abstract

We try to prove rigorously that the perimeter of the large Witten-Sander cluster does not scale as the square root of its area, by making a forced comparison with the ill-posed Hele-Shaw problem of fluid dynamics. The attempt is not completely successful; nevertheless some interesting consequences of the comparison are derived.

Original languageEnglish (US)
Pages (from-to)1117-1149
Number of pages33
JournalJournal of Statistical Physics
Volume67
Issue number5-6
DOIs
StatePublished - Jun 1 1992
Externally publishedYes

Fingerprint

Scaling
scaling
Hele-Shaw
Perimeter
fluid dynamics
Fluid Dynamics
Square root
Model

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

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title = "Remarks on scaling a model of Witten-Sander type",
abstract = "We try to prove rigorously that the perimeter of the large Witten-Sander cluster does not scale as the square root of its area, by making a forced comparison with the ill-posed Hele-Shaw problem of fluid dynamics. The attempt is not completely successful; nevertheless some interesting consequences of the comparison are derived.",
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Remarks on scaling a model of Witten-Sander type. / March, Peter.

In: Journal of Statistical Physics, Vol. 67, No. 5-6, 01.06.1992, p. 1117-1149.

Research output: Contribution to journalArticle

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