Critical disordered systems with constraints and the inequality v >2/d

Amnon Aharony, A. Brooks Harris, Shai Wiseman

Research output: Contribution to journalArticlepeer-review

75 Scopus citations


The renormalization group approach is used to study the effects of a “canonical” constraint (e.g., a fixed number of occupied bonds) on critical quenched disordered systems. The constraint is found to be always irrelevant, even near the “random” fixed point. This proves that α < 0, or that v >2/d.“Canonical” and “grand canonical” averages thus belong to the same universality class. Related predictions concerning the universality of non-self-averaging distributions are tested by Monte Carlo simulations of the site-diluted Ising model on the cubic lattice. In this case, the approach to the asymptotic distribution for “canonical” averaging is slow, resulting in effectively smaller fluctuations.

Original languageEnglish
Pages (from-to)252-255
Number of pages4
JournalPhysical Review Letters
Issue number2
StatePublished - 13 Jul 1998
Externally publishedYes

ASJC Scopus subject areas

  • General Physics and Astronomy


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