Rigorous studies of critical behavior

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Presented here are some basic results on the phase structure and the critical behavior in general classes of translation invariant ferromagnetic systems, and in independent percolation models. Some of these results were derived by means of nonlinear partial differential inequalities involving the order parameter. While the inequalities are satisfied in the discrete lattice systems, their structure contains hints of relations with suitable field theories ("φ4" for ferromagnetic systems, and "φ3" in case of percolation).

Original languageEnglish (US)
Pages (from-to)225-231
Number of pages7
JournalPhysica A: Statistical Mechanics and its Applications
Issue number1-2
StatePublished - Dec 1 1986
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Condensed Matter Physics


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