Remarks on scaling a model of Witten-Sander type

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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
Publication statusPublished - Jun 1 1992
Externally publishedYes

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All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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