Another critical exponent inequality for percolation: β≥2/δ

Research output: Contribution to journalArticle

Abstract

The inequality in the title is derived for standard site percolation in any dimension, assuming only that the percolation density vanishes at the critical point. The proof, based on a lattice animal expansion, is fairly simple and is applicable to rather general (site or bond, short-or long-range) independent percolation models.

Original languageEnglish (US)
Pages (from-to)695-699
Number of pages5
JournalJournal of Statistical Physics
Volume47
Issue number5-6
DOIs
StatePublished - Jun 1987

Keywords

  • Percolation
  • critical exponents
  • exponent inequalities
  • lattice animals
  • rigorous results

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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